{"id":219,"date":"2022-04-08T05:19:24","date_gmt":"2022-04-08T05:19:24","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=219"},"modified":"2025-02-08T11:55:05","modified_gmt":"2025-02-08T11:55:05","slug":"m-10-scale-drawings-word-problems","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/m-10-scale-drawings-word-problems\/","title":{"rendered":"M.10 Scale drawings: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Scale drawings: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8550df6181cd5d83aa7a08ef336a4ca1\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-72fe5a22939f5c5de3d52e7dcb1be942\" style=\"color:#000060\"><strong>Definition of Scale Drawings<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A scale drawing is a proportional representation of an object or place.<\/li>\n\n\n\n<li>It is used in maps, blueprints, and models.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-6adf18e33beaf3d9c2f5021dfd046212\" style=\"color:#000060\"><strong>Understanding Scale<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>The scale shows the ratio between the drawing&#8217;s measurements and the actual object.<\/li>\n\n\n\n<li>Example: A scale of <strong>1 cm : 5 m<\/strong> means <strong>1 cm on the drawing<\/strong> represents <strong>5 meters in real life<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-b8d55fbdb2e2ce6a41199ae1658f06e9\" style=\"color:#000060\"><strong>Types of Scale<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Enlargement:<\/strong> When the scale factor is greater than 1.<\/li>\n\n\n\n<li><strong>Reduction:<\/strong> When the scale factor is less than 1.<\/li>\n\n\n\n<li><strong>Same Size:<\/strong> When the scale is 1:1 (actual size).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-e49fb57d935556a879237e2c6fbd6dc9\" style=\"color:#000060\"><strong>Solving Word Problems<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Step 1:<\/strong> Identify the given scale.<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> Find the actual or scaled measurement using multiplication or division.<\/li>\n\n\n\n<li><strong>Step 3:<\/strong> Check units and convert if needed.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-84155f5bc6aacec1a72ed5fa89134514\" style=\"color:#000060\"><strong>Common Types of Word Problems<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Finding Actual Measurements<\/strong>: Given a scale drawing, determine the real-life size.<\/li>\n\n\n\n<li><strong>Finding Drawing Measurements<\/strong>: Given actual measurements, determine the scaled size.<\/li>\n\n\n\n<li><strong>Comparing Scale Drawings<\/strong>: Identify which drawing is more accurate.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-570c726d3200c829d483458082c282b2\" style=\"color:#000060\"><strong>Examples<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A map uses a scale of <strong>1 cm : 10 km<\/strong>. If two cities are <strong>3 cm apart on the map<\/strong>, the real distance is: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>3 \u00d7 10 = 30\u00a0km<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A blueprint of a room uses a scale of <strong>1 inch : 4 feet<\/strong>. If the room is <strong>12 feet long<\/strong>, its blueprint length is:<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>12 \u00f7 4 = 3\u00a0inches12 <\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c1eefa\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udc49Tony made a scale drawing of a swimming pool. The pool, which is 18 metres wide in real life, is 2 millimetres wide in the drawing. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-fc2807d45a371f048b39de557eb727f6\" style=\"color:#b00012\"><strong>What is the scale of the drawing?<\/strong><\/p>\n\n\n\n<p>1 millimetre&nbsp;:&nbsp;_____&nbsp;metres<\/p>\n<\/div><\/div>\n\n\n\n<p>Write the ratio of the width of the pool in the drawing to the width of the actual pool. Write the ratio in fraction form.<\/p>\n\n\n\n<p>2 mm \/ 18 m<\/p>\n\n\n\n<p>Simplify the fraction.<\/p>\n\n\n\n<p>2 mm \u00f7 2 \/ 18 m \u00f7 2 = 1 mm \/ 9 m<\/p>\n\n\n\n<p>The scale of the drawing is 1 millimetre : 9 metres.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d1d3f6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udc49 Eva measured a summer camp and made a scale drawing. She used the scale&nbsp;1 millimetre : 3 metres. If the sand volleyball court is 3 millimetres in the drawing . <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-7adff7e9e9e9133311bc50e8db067af4\" style=\"color:#b00012\"><strong>How wide is the actual volleyball court?<\/strong><\/p>\n\n\n\n<p>&nbsp;_____ metres<\/p>\n<\/div><\/div>\n\n\n\n<p>Write the scale of the drawing as a fraction:<\/p>\n\n\n\n<p>1 mm \/ 3 m<\/p>\n\n\n\n<p>Write an equivalent fraction with 3 millimetres as the numerator.<\/p>\n\n\n\n<p>1 mm \u00d7 3 \/ 3 m \u00d7 3 = 3 mm \/ 9 m<\/p>\n\n\n\n<p>The actual volleyball court is 9 metres wide.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f4f5ce\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udc49 Mitchell drew a scale drawing of a house and its lot. In real life, the front patio is 30 metres long. It is 3 centimetres long in the drawing. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-982950a6b2d46350f95ee9759cf1fdf9\" style=\"color:#b00012\"><strong>What scale did Mitchell use for the drawing?<\/strong><\/p>\n\n\n\n<p>1 centimetre&nbsp;:&nbsp;_______&nbsp;metres<\/p>\n<\/div><\/div>\n\n\n\n<p>Write the ratio of the length of the patio in the drawing to the length of the actual patio. Write the ratio in fraction form.<\/p>\n\n\n\n<p>3 cm \/ 13 m<\/p>\n\n\n\n<p>Simplify the fraction.<\/p>\n\n\n\n<p>3 cm \u00f7 3 \/ 30 m \u00f7 3 = 1 cm \/ 10 m<\/p>\n\n\n\n<p>The scale of the drawing is 1 centimetre : 10 metres.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice! \ud83d\udd8a\ufe0f<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/83764\/720\/853\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-31.png\" alt=\"\" class=\"wp-image-5495\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-31.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-31-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-31-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-31-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/86080\/977\/561\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-32.png\" alt=\"\" class=\"wp-image-5496\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-32.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-32-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-32-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-32-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Scale drawings: word problems Key Notes : Definition of Scale Drawings Understanding Scale Types of Scale Solving Word Problems Common Types of Word Problems Examples 3 \u00d7 10 = 30\u00a0km 12 \u00f7 4 = 3\u00a0inches12 Learn with an example \ud83d\udc49Tony made a scale drawing of a swimming pool. The pool, which is 18 metres wide<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/m-10-scale-drawings-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;M.10 Scale drawings: word problems&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-219","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/219","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=219"}],"version-history":[{"count":11,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/219\/revisions"}],"predecessor-version":[{"id":15464,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/219\/revisions\/15464"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}