{"id":68753,"date":"2021-01-25T09:10:45","date_gmt":"2021-01-25T15:10:45","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=68753"},"modified":"2026-03-28T10:55:43","modified_gmt":"2026-03-28T15:55:43","slug":"measurement-conversions","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/measurement-conversions\/","title":{"rendered":"Measurement Conversions"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_aFRKxX2r9aA\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_aFRKxX2r9aA\" data-source-videoID=\"aFRKxX2r9aA\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Measurement Conversions Video\" height=\"720\" width=\"1280\" class=\"size-full\" data-matomo-title = \"Measurement Conversions\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_aFRKxX2r9aA:hover {cursor:pointer;} img#videoThumbnailImage_aFRKxX2r9aA {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/01\/new-thumb.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_aFRKxX2r9aA\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_aFRKxX2r9aA\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Measurement Conversions\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_aFRKxX2r9aA\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_aFRKxX2r9aA\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_aFRKxX2r9aA\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction uts_Function() {\n  var x = document.getElementById(\"uts\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"uts_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"uts\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Measurement_Conversion_Examples\" class=\"smooth-scroll\">Measurement Conversion Examples<\/a>\n<ul><\/li>\n<li class=\"toc-h3\"><a href=\"#Example_1_%E2%80%93_Volume\" class=\"smooth-scroll\">Example #1 \u2013 Volume<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Example_2_%E2%80%93_Time_and_Distance\" class=\"smooth-scroll\">Example #2 \u2013 Time and Distance<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Example_3_%E2%80%93_Area\" class=\"smooth-scroll\">Example #3 \u2013 Area<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"toc-h2\"><a href=\"#Measurement_Conversion_Problems\" class=\"smooth-scroll\">Measurement Conversion Problems<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hi, and welcome to this video on measurement conversions!<\/p>\n<p>Converting between different measurements happens all the time, whether you\u2019re measuring solutions in a chemistry lab or putting together a recipe in your kitchen. <\/p>\n<p>For example, let\u2019s say you\u2019re baking chocolate chip cookies and you only have measuring cups that measure in 1 cup, 1\/2 cup, and 1\/4 cup but the recipe calls for 6 ounces of chocolate chips. How do you know how many chocolate chips to put in?<\/p>\n<p>In this video, we\u2019ll learn how to use measurement conversions to solve these sorts of problems. Let\u2019s get started!<\/p>\n<h2><span id=\"Measurement_Conversion_Examples\" class=\"m-toc-anchor\"><\/span>Measurement Conversion Examples<\/h2>\n<h3>Example #1 &#8211; Volume<\/h3>\n<p>\nLet\u2019s start by figuring out our chocolate chip problem.<\/p>\n<p>Remember, we only have our cup measurements, but the recipe is asking for ounces. Well, this is where conversions come in handy. In order to figure this out, we need to set up conversion fractions.<\/p>\n<p>The first step in setting up conversion fractions is finding our conversion factor. A <strong>conversion factor<\/strong> relates one quantity to another. In our chocolate chip example, our conversion factor is 1 cup = 8 oz. Now that we know what our conversion factor is, we can set up our conversion fraction.<\/p>\n<p>When setting up these fractions, always start with your known value as your first fraction by placing it over 1 like this:<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n\\(\\frac{6\\text{ oz}}{1}\\)<\/div>\n<p>\n&nbsp;<br \/>\nWe then multiply by our conversion factor, which we also need to turn into a fraction. When we do this, we want to pay close attention to which value we place in the <strong>numerator<\/strong> and which value we place in the <strong>denominator<\/strong>. <\/p>\n<p>Since we have ounces and are looking for cups, we want to place our cup value in the numerator and our ounces value in the denominator so that our ounces units will cancel out and we will be left with cups.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n\\(\\frac{6\\text{ oz}}{1}\\times \\frac{1\\text{ cup}}{8\\text{ oz}}\\)<\/div>\n<p>\n&nbsp;<br \/>\nWe then multiply across and simplify.<\/p>\n<p>So our ounces cancel out, and we\u2019re left with six-eighths of a cup, or three-fourths cups, is equal to 8 ounces.<\/p>\n<div class=\"examplesentence\"  style=\"font-size: 110%;\">\n\\(\\frac{6\\text{ oz}}{1}\\times \\frac{1\\text{ cup}}{8\\text{ oz}}=\\frac{6\\text{ oz}\u00d71\\text{ cup}}{1\u00d78\\text{ oz}}\\)\\(=\\frac{3}{4}\\text{ cups}\\)<\/div>\n<p>\n&nbsp;<br \/>\nNotice how our ounces cancel out on the top and bottom and we are able to simplify the fraction \\(\\frac{6}{8}\\) by dividing both parts by 2. This gives us our final answer of 6 ounces = 3\/4 cup. So we need 3\/4 cups of chocolate chips for our cookie recipe and can use our 1\/4 cup measuring cup three times.<\/p>\n<h3>Example #2 &#8211; Time and Distance<\/h3>\n<p>\nLet\u2019s look at another example.<\/p>\n<p>Sarah is driving down a road at 30 mph. How fast is she traveling in feet per second?<\/p>\n<p>This problem is a little different from our last one because it will require two conversions. We need to find our conversion factors for miles to feet and for hours to minutes. There are 5,280 feet in a mile and 3,600 seconds in an hour, so our conversion factors are 1 mile = 5,280 feet and 1 hour = 3,600 seconds.<\/p>\n<p>First, we write our known value as a fraction. Notice, this is in miles per hour, so we are going to write the miles part on top and the hour part on bottom. She travels 30 miles in one hour, so we will write it like this:<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n\\(\\frac{30\\text{ miles}}{1\\text{ hour}}\\)<\/div>\n<p>\n&nbsp;<br \/>\nNow we want to multiply by our conversion factors. Remember, we have two different conversion factors so we need to be sure to include both in this step.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n\\(\\frac{30\\text{ miles}}{1\\text{ hour}}\\times \\frac{5,280\\text{ feet}}{1\\text{ mile}} \\)\\(\\times \\frac{1\\text{ hour}}{3,600\\text{ seconds}}\\)<\/div>\n<p>\n&nbsp;<br \/>\nThere are 5,280 feet in 1 mile, and we want to put the mile on bottom because we want our units to cancel out. And in 1 hour there are 3,600 seconds. Again, we have our hour on top over here because we have it on bottom over here and we want them to cancel out. So when we multiply through, our hours cancel out, our miles cancel out, and then we can just multiply across. So we have 30 times 5,280 feet, over 3,600 seconds.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n<span style=\"font-size: 80%\">\\(\\frac{30\\text{ miles}}{1\\text{ hour}}\\times \\frac{5,280\\text{ feet}}{1\\text{ mile}} \\times \\frac{1\\text{ hour}}{3,600\\text{ seconds}}\\)<\/span>\\(=\\frac{30\\times 5,280\\times 1}{1\\times 1\\times 3,600}\\text{ ft\/sec}\\)<\/div>\n<p>\n&nbsp;<br \/>\nWhen we simplify, this gives us: 44 feet per second<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n<span style=\"font-size: 80%\">\\(\\frac{30\\text{ miles}}{1\\text{ hour}}\\times \\frac{5,280\\text{ feet}}{1\\text{ mile}} \\times \\frac{1\\text{ hour}}{3,600\\text{ seconds}}\\)<\/span>\\(=\\frac{30\\times 5,280\\times 1}{1\\times 1\\times 3,600}\\frac{ft}{sec}\\)\\(=44\\text{ ft\/sec}\\)<\/div>\n<p>\n&nbsp;<br \/>\nIf Sarah is traveling 30 miles per hour, she is also traveling 44 feet per second.<\/p>\n<h3>Example #3 &#8211; Area<\/h3>\n<p>\nLet\u2019s take a look at one more example.<\/p>\n<p>Caleb is painting a wall that is a total of 96 square feet. How big is the room in square inches?<\/p>\n<p>In this example, we need to pay close attention to our units. We are measuring in square feet, which means our conversion fractions will look a little different. Our conversion factor for feet to inches is 1 foot = 12 inches. However, if you think ahead, we are going to run into a problem in our second step. Let\u2019s go through our process as normal and see if we can figure out what to do once we get there.<\/p>\n<p>We start by writing out our known value: 96 square feet. <\/p>\n<p>Remember, we use conversion fractions, so we want to turn this into a fraction, so we divide by 1.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n\\(\\frac{96\\text{ ft}^2}{1}\\)<\/div>\n<p>\n&nbsp;<br \/>\nThen we multiply by our conversion factor.<\/p>\n<p>There are 12 inches in 1 foot. Remember, the &#8220;feet&#8221; need to be diagonal to each other so that eventually they&#8217;ll cancel out.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n\\(\\frac{96\\text{ ft}^2}{1}\\frac{12\\text{ in}}{1\\text{ ft}}\\)<\/div>\n<p>\n&nbsp;<br \/>\nBut what\u2019s wrong with this conversion? Well, if you multiply the units out, you can see that we&#8217;ll be left with feet times inches, &#8217;cause one of our feet will cancel out but the other one won&#8217;t. To fix this, we simply need to multiply once more by our conversion factor.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n\\(\\frac{96\\text{ ft}^2}{1}\\frac{12\\text{ in}}{1\\text{ ft}}\\frac{12\\text{ in}}{1\\text{ ft}}\\)<\/div>\n<p>\n&nbsp;<br \/>\nSince we are working with square units, it makes sense that we would multiply by our conversion factor twice, or in other words, multiply by our conversion factor squared.<\/p>\n<p>Let\u2019s finish out our problem by multiplying it all out.<\/p>\n<p>Our feet squared will cancel out with both of our feet down here. So we&#8217;re left with 96 times 12, times 12 square inches. When we multiply this out, we will get an answer that&#8217;s equal to 13 thousand 824 square inches.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\n\\(\\frac{96\\text{ ft}^2}{1}\\frac{12\\text{ in}}{1\\text{ ft}}\\frac{12\\text{ in}}{1\\text{ ft}}\\)\\(=13,824\\text{ in}^2\\)<\/div>\n<p>\n&nbsp;<br \/>\nAnd that\u2019s all there is to it! This process will work for conversions between any two units. As long as you know your conversion factors, you can follow these steps and find your new measurement.<\/p>\n<p>I hope this review was helpful. Thanks for watching and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Measurement_Conversion_Problems\" class=\"m-toc-anchor\"><\/span>Measurement Conversion Problems<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>How many minutes are in 47 hours?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">0.78<\/div><div class=\"PQ\"  id=\"PQ-1-2\">1,128<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-3\">2,820<\/div><div class=\"PQ\"  id=\"PQ-1-4\">0.47<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>We\u2019re starting with a number measured in hours, and our goal is to output something measured in minutes. We know that there are 60 minutes in 1 hour (this is our conversion factor), s we set up our conversion fraction: <\/p>\n<p style=\"text-align: center;\">\\(\\dfrac{47\\text{ hours}}{1}\\times\\dfrac{60\\text{ minutes}}{1\\text{ hour}}\\)<\/p>\n<p>Note that the \u201cminutes\u201d measurement is in the numerator and the \u201chours\u201d measurement is in the denominator because we want to cancel out the hours unit.<\/p>\n<p style=\"text-align: center; line-height: 65px\">\\(\\dfrac{47\\text{ hours}}{1}\\times\\dfrac{60\\text{ minutes}}{1\\text{ hour}}\\)\\(\\:=\\dfrac{2,820\\text{ minutes}}{1}=2{,}820\\text{ minutes}\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>Suppose a water tank holds 28 gallons. How many pints of water could we fit in the same tank?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">3.5 pints<\/div><div class=\"PQ\"  id=\"PQ-2-2\">1.75 pints<\/div><div class=\"PQ\"  id=\"PQ-2-3\">448 pints<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-4\">224 pints<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>For this problem, we will only need to run through one conversion. Since we know our conversion factor (1 US gallon = 8 US pints), we can go ahead with our conversion fraction process:<\/p>\n<p style=\"text-align: center;\">\\(\\dfrac{28\\text{ gallons}}{1}\\times\\dfrac{8\\text{ pints}}{1\\text{ gallon}}=224\\text{ pints}\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>A local farmer, Jamie, just finished installing a running track somewhere on the land. Jamie wants to measure how long this 400-meter track is in feet. Given that there are approximately 3.28 feet in 1 meter, what measurement will Jamie end up with?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-3-1\">1,312 feet<\/div><div class=\"PQ\"  id=\"PQ-3-2\">121.9 feet<\/div><div class=\"PQ\"  id=\"PQ-3-3\">396.7 feet<\/div><div class=\"PQ\"  id=\"PQ-3-4\">1,463 feet<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The pieces of information that we need out of this word problem are straightforward to find: we have an input measuring 400 meters, we have our conversion factor (1 meter = 3.28 feet), and we know we want to end up with an output measured in feet. Luckily, we only have one step in our conversion process:<\/p>\n<p style=\"text-align: center;\">\\(\\dfrac{400\\text{ meters}}{1}\\times\\dfrac{3.28\\text{ feet}}{1\\text{ meter}}=1,312\\text{ feet}\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>Solve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(4 \\text{ ft}^2 = \\:? \\text{ cm}^2\\)<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">10.2 cm<sup>2<\/sup><\/div><div class=\"PQ\"  id=\"PQ-4-2\">25.8 cm<sup>2<\/sup><\/div><div class=\"PQ\"  id=\"PQ-4-3\">121.9 cm<sup>2<\/sup><\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-4\">3,716.1 cm<sup>2<\/sup><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>In this question, not only are we dealing with squared units, but we\u2019ll also need to use two different conversion factors:<\/p>\n<ul style=\"list-style-type: none; margin-left: 1.2em\">\n<li>\\(1 \\text{ ft} = 12 \\text{ in }\\)<\/li>\n<li>\\( 1 \\text{ in} = 2.54 \\text{ cm}\\)<\/li>\n<\/ul>\n<p>We\u2019ll first convert square feet into square inches, and then we will convert square inches into square centimeters.<\/p>\n<p style=\"text-align: center\">\\(\\dfrac{4\\text{ ft}^2}{1}\\times\\dfrac{12\\text{ in}}{1\\text{ ft}}\\times\\dfrac{12\\text{ in}}{1\\text{ ft}}=576\\text{ in}^2\\)<\/p>\n<p>Now with our new units:<\/p>\n<p style=\"text-align: center; line-height: 65px\">\\(\\dfrac{576\\text{ in}^2}{1}\\times\\dfrac{2.54\\text{ cm}}{1\\text{ in}}\\times\\dfrac{2.54\\text{ cm}}{1\\text{ in}}\\)\\(\\:=3{,}716.1\\text{ cm}^2\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>The McPherson family is re-carpeting their 650 square-foot basement. If they can put down 50 square feet of carpet per hour, how many square inches are the McPherson\u2019s finishing every minute?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">2 in<sup>2<\/sup>\/min<\/div><div class=\"PQ\"  id=\"PQ-5-2\">10 in<sup>2<\/sup>\/min<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-3\">120 in<sup>2<\/sup>\/min<\/div><div class=\"PQ\"  id=\"PQ-5-4\">720 in<sup>2<\/sup>\/min<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>We are wanting to end up with a value measured in square inches per minute, but we are given the measurement 50 ft<sup>2<\/sup>\/hr. So, we will need to convert square feet into square inches. We will also need to convert hours to minutes.<\/p>\n<p>Note that the \u201c650 square-foot\u201d value given at the beginning of this problem is irrelevant.<\/p>\n<p>For our calculations, we\u2019ll use the conversion factors \\(1 \\text{ ft} = 12 \\text{ in}\\) and \\(1 \\text{ hr} = 60 \\text{ min}\\).<\/p>\n<p style=\"text-align:center;\">\\(\\dfrac{50\\text{ ft}^2}{1\\text{ hr}}\\times\\dfrac{12\\text{ in}}{1\\text{ ft}}\\times\\dfrac{12\\text{ in}}{1\\text{ ft}}=\\dfrac{7,200\\text{ in}^2}{1\\text{ hr}}\\)<\/p>\n<p>Then, focusing on the hours-to-minutes conversion, we have:<\/p>\n<p style=\"text-align:center;\">\\(\\dfrac{7,200\\text{ in}^2}{1\\text{ hr}}\\times\\dfrac{1\\text{ hr}}{60\\text{ min}}=\\dfrac{120\\text{ in}^2}{1\\text{ min}}\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/pre-algebra\/\">Return to Pre-Algebra Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Pre-Algebra Videos<\/p>\n","protected":false},"author":1,"featured_media":285667,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-68753","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-pre-algebra-measurement-principles-videos","7":"page_category-pre-algebra-numbers-videos","8":"page_category-video-pages-for-study-course-sidebar-ad","9":"page_type-video","10":"content_type-practice-questions","11":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/68753","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=68753"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/68753\/revisions"}],"predecessor-version":[{"id":285670,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/68753\/revisions\/285670"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/285667"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=68753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}