{"id":659284,"date":"2023-06-27T23:13:40","date_gmt":"2023-06-27T17:43:40","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/three-cubes-each-of-side-15-cm-are-joined-end-to-end-what-is-the-total-surface-area-of-the-resulting-cuboid\/"},"modified":"2025-06-20T14:28:58","modified_gmt":"2025-06-20T08:58:58","slug":"three-cubes-each-of-side-15-cm-are-joined-end-to-end-what-is-the-total-surface-area-of-the-resulting-cuboid","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/three-cubes-each-of-side------15cm--are-joined-end-to\/","title":{"rendered":"Three cubes each of side      15\u00a0cm \u00a0 are joined end-to-end. What is the total surface area of the resulting cuboid?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Three cubes each of side 15\u00a0cm \u00a0 are joined end-to-end. What is the total surface area of the resulting cuboid?","custom_permalink":"question\/mathematics\/three-cubes-each-of-side------15cm--are-joined-end-to\/"},"categories":[],"acf":{"question":"<p style=\"margin-top:0pt; margin-bottom:0pt; line-height:normal; font-size:12pt\"><span>Three cubes each of side<\/span>\r\n<math>\r\n <m:semantics>\r\n  <m:mrow>\r\n   <m:mn>15<\/m:mn><m:mo>&nbsp;<\/m:mo><m:mtext>cm<\/m:mtext><\/m:mrow>\r\n <\/m:semantics><\/math>&nbsp;<span> are joined end-to-end. What is the total surface area of the resulting cuboid?<\/span><\/p><br><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal;font-size:12pt\">","options":[{"option":"<math> <m:semantics>  <m:mrow>   <m:mn>3250<\/m:mn><m:mo>&nbsp;<\/m:mo><m:msup>    <m:mrow>     <m:mtext>cm<\/m:mtext><\/m:mrow>    <m:mn>2<\/m:mn>   <\/m:msup>   <\/m:mrow> <\/m:semantics><\/math>&nbsp;","correct":false},{"option":"<math> <m:semantics>  <m:mrow>   <m:mn>3150<\/m:mn><m:mo>&nbsp;<\/m:mo><m:msup>    <m:mrow>     <m:mtext>cm<\/m:mtext><\/m:mrow>    <m:mn>2<\/m:mn>   <\/m:msup>   <\/m:mrow> <\/m:semantics><\/math>&nbsp;","correct":true},{"option":"<math> <m:semantics>  <m:mrow>   <m:mn>3100<\/m:mn><m:mo>&nbsp;<\/m:mo><m:msup>    <m:mrow>     <m:mtext>cm<\/m:mtext><\/m:mrow>    <m:mn>2<\/m:mn>   <\/m:msup>   <\/m:mrow> <\/m:semantics><\/math>&nbsp;","correct":false},{"option":"<math> <m:semantics>  <m:mrow>   <m:mn>2250<\/m:mn><m:mo>&nbsp;<\/m:mo><m:msup>    <m:mrow>     <m:mtext>cm<\/m:mtext><\/m:mrow>    <m:mn>2<\/m:mn>   <\/m:msup>   <\/m:mrow> <\/m:semantics><\/math>&nbsp;<span>&nbsp;<\/span>","correct":false}],"solution":"<span>Given are three cubes each of side<\/span>\r\n<math>\r\n <m:semantics>\r\n  <m:mrow>\r\n   <m:mn>15<\/m:mn><m:mo>&nbsp;<\/m:mo><m:mtext>cm<\/m:mtext><\/m:mrow>\r\n <\/m:semantics><\/math>&nbsp;<span>.<\/span><br><span>We have the following formula,<\/span><br><span>Surface area of the cuboid = <\/span>\r\n<math>\r\n <m:semantics>\r\n  <m:mrow>\r\n   <m:mtext>2<\/m:mtext><m:mfenced>\r\n    <m:mrow>\r\n     <m:mi>l<\/m:mi><m:mi>b<\/m:mi><m:mo>+<\/m:mo><m:mi>b<\/m:mi><m:mi>h<\/m:mi><m:mo>+<\/m:mo><m:mi>h<\/m:mi><m:mi>l<\/m:mi><\/m:mrow>\r\n   <\/m:mfenced><\/m:mrow>\r\n <\/m:semantics><\/math>&nbsp;<br><span>We have, <\/span><br><span>h=15cm<\/span><br><span>l = 15 + 15 + 15 <\/span><br><span>= 45cm <\/span><br><span>b=15cm<\/span><br><span>Then the surface area will be,<\/span><br><span>=2(45\u00d715+15\u00d715+45\u00d715)<\/span><br><span>=2(675+225+675) <\/span><br><span>=2(1575) <\/span><br>\r\n<math>\r\n <m:semantics>\r\n  <m:mrow>\r\n   <m:mo>=<\/m:mo><m:mn>3150<\/m:mn><m:mo>&nbsp;<\/m:mo><m:msup>\r\n    <m:mrow>\r\n     <m:mtext>cm<\/m:mtext><\/m:mrow>\r\n    <m:mn>2<\/m:mn>\r\n   <\/m:msup>\r\n   <\/m:mrow>\r\n <\/m:semantics><\/math>&nbsp;<br><span>Thus, the total surface area of the resulting cuboid is<\/span>\r\n<math>\r\n <m:semantics>\r\n  <m:mrow>\r\n   <m:mn>3150<\/m:mn><m:mo>&nbsp;<\/m:mo><m:msup>\r\n    <m:mrow>\r\n     <m:mtext>cm<\/m:mtext><\/m:mrow>\r\n    <m:mn>2<\/m:mn>\r\n   <\/m:msup>\r\n   <\/m:mrow>\r\n <\/m:semantics><\/math>&nbsp;<span>.<\/span><br><span>Therefore the correct option is 2.<\/span><br><span>&nbsp;<\/span>","subject":"Mathematics"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Three cubes each of side   15\u00a0cm \u00a0 are joined end-to-end. 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