{"id":73034,"date":"2021-02-08T13:30:55","date_gmt":"2021-02-08T08:00:55","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73034"},"modified":"2021-02-18T13:44:00","modified_gmt":"2021-02-18T08:14:00","slug":"rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions\/","title":{"rendered":"RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c"},"content":{"rendered":"\n<p>RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c basically covers questions around the surface area and Cuboid volumes. Upon practicing these exercises, a student can learn about the Cuboid surface area and the surface area of cubes. However, before delving into the exercises, the students need to possess significant concepts in the concerned subject. Not just for the exercise, this can be useful for future studies as well, or those who are aspiring for higher studies in Mathematics.<\/p>\n<p>The best part about the RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c is that these have been provided most engagingly and intuitively for the students, making things interesting for them to study Mathematics.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-18-surface-area-and-volume-of-a-cuboid-and-cube\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Class 9 Chapter 18 (Surface Area And Volume of A Cuboid And Cube)<\/strong><\/a><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69df25a2efdeb\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69df25a2efdeb\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions\/#download-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c18-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-181-%e2%80%8csolutions%e2%80%8c-pdf\" title=\"Download RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c PDF\">Download RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions\/#important-definitions-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c18-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-181-%e2%80%8csolutions%e2%80%8c\" title=\"Important Definitions RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c\">Important Definitions RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions\/#surface-area-of-a-cuboid\" title=\"Surface Area of a Cuboid\">Surface Area of a Cuboid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions\/#surface-area-of-a-cube\" title=\"Surface Area of a Cube\">Surface Area of a Cube<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions\/#lateral-surface-area-of-a-cuboid\" title=\"Lateral Surface Area of a Cuboid\">Lateral Surface Area of a Cuboid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions\/#lateral-surface-area-of-a-cube\" title=\"Lateral Surface Area of a Cube\">Lateral Surface Area of a Cube<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions\/#examples-of-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c18-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-181-%e2%80%8csolutions%e2%80%8c\" title=\"Examples of RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c\">Examples of RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c18-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-181-%e2%80%8csolutions%e2%80%8c-pdf\"><\/span>Download RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-18-Surface-Area-and-Volume-of-Cuboid-and-Cube-Exercise-18.1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-18-Surface-Area-and-Volume-of-Cuboid-and-Cube-Exercise-18.1.pdf\">Solutions for Class 9 Maths Chapter 18 Surface Area and Volume of Cuboid and Cube Exercise 18.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c18-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-181-%e2%80%8csolutions%e2%80%8c\"><\/span>Important Definitions RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In this exercise of Chapter 18, we will discuss the following topics with the definitions and stepwise examples-<\/p>\n<ol>\n<li>Surface Area of a Cuboid<\/li>\n<li>Surface Area of a Cube<\/li>\n<li>Lateral Surface Area of a Cuboid<\/li>\n<li>Lateral Surface Area of a Cube<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"surface-area-of-a-cuboid\"><\/span>Surface Area of a Cuboid<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Cuboid comes with six rectangular faces, the surface area of which is calculated upon adding the areas of all six faces. It can also be calculated applying the formula SA= 2lw+2lh+2hw, where l means length, w means width, and h means the height of the prism.\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"surface-area-of-a-cube\"><\/span>Surface Area of a Cube<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The surface area of a cube is calculated through formula A=6a2, where A is the area, and a is the length of the edge.\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"lateral-surface-area-of-a-cuboid\"><\/span>Lateral Surface Area of a Cuboid<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The lateral surface area of Cuboid has calculated through the formula Lateral Surface area = 2 height (length + breadth)<\/p>\n<h3><span class=\"ez-toc-section\" id=\"lateral-surface-area-of-a-cube\"><\/span>Lateral Surface Area of a Cube<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The lateral surface area of the cuboid is calculated through formula 4a2, where a is the length of each side.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"examples-of-rd%e2%80%8c-%e2%80%8csharma%e2%80%8c-%e2%80%8cchapter%e2%80%8c-%e2%80%8c18-%e2%80%8cclass%e2%80%8c-%e2%80%8c9%e2%80%8c-%e2%80%8cmaths%e2%80%8c-exercise%e2%80%8c-181-%e2%80%8csolutions%e2%80%8c\"><\/span>Examples of RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques:<\/strong> <strong>Find the lateral surface area and total surface area of a cuboid of length 80cm, breadth 40cm, and height 20cm.<\/strong><\/p>\n<p><strong>Solution-<\/strong><\/p>\n<p>Dimensions of the cuboid:<\/p>\n<p>Length (L) = 80 cm<\/p>\n<p>Breadth (B) = 40 cm<\/p>\n<p>Height (H) = 20 cm<\/p>\n<p>Total Surface Area = 2[LB + BH + HL]<\/p>\n<p>By equating the values<\/p>\n<p>= 2[(80)(40)+(40)(20)+(20)(80)]<\/p>\n<p>= 2[3200+800+1600]<\/p>\n<p>= 2[5600]<\/p>\n<p>= 11200<\/p>\n<p>Therefore, Total Surface Area = 11200 cm2<\/p>\n<p>Lateral Surface Area = 2[L + B]H<\/p>\n<p>= 2[80+40]20<\/p>\n<p>= 40[120]<\/p>\n<p>= 4800<\/p>\n<p>So the Lateral Surface Area is 4800 cm2.<\/p>\n<p><strong>Ques: Find the lateral surface area and total surface area of a cube of edge 10 cm.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Side of the Cube = 10 cm (provided)<\/p>\n<p>Lateral Surface Area of cube = 4 side2<\/p>\n<p>Cube Lateral Surface Area = 4(10 x 10)<\/p>\n<p>= 400cm2<\/p>\n<p>Total Surface Area = 6 Side2<\/p>\n<p>= 6(102)<\/p>\n<p>= 600cm2<\/p>\n<p><strong>Ques: Find the ratio of the total surface area and lateral surface area of a cube.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Total Surface Area (TSA) = 6 Side2<\/p>\n<p>Lateral surface area (LSA) = 4 Side2<\/p>\n<p>Ratio of TSA and LSA of the cube = (6 Side2)\/ (4 Side2) = 3\/2 or 3:2.<\/p>\n<p><a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c basically covers questions around the surface area and Cuboid volumes. Upon practicing these exercises, a student can learn about the Cuboid surface area and the surface area of cubes. However, before delving into the exercises, the students need to possess significant concepts in the concerned &#8230; <a title=\"RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-18-class-9-maths-exercise-18-1-solutions\/\" aria-label=\"More on RD\u200c \u200cSharma\u200c \u200cChapter\u200c \u200c18 \u200cClass\u200c \u200c9\u200c \u200cMaths\u200c Exercise\u200c 18.1 \u200cSolutions\u200c\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73042,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[1,2917,73719,73411,2985,73410],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73034"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=73034"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73034\/revisions"}],"predecessor-version":[{"id":73965,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73034\/revisions\/73965"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73042"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73034"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}