{"id":621414,"date":"2023-06-20T19:14:05","date_gmt":"2023-06-20T13:44:05","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/an-aquarium-is-in-the-form-of-a-cuboid-whose-external-measures-are-80cmx30cmx40cm-the-base-side-faces-and-back-face-are-to-be-covered-with-colored-paper-find-the-area-of-the-paper-nee\/"},"modified":"2025-06-20T14:47:56","modified_gmt":"2025-06-20T09:17:56","slug":"an-aquarium-is-in-the-form-of-a-cuboid-whose-external-measures-are-80cmx30cmx40cm-the-base-side-faces-and-back-face-are-to-be-covered-with-colored-paper-find-the-area-of-the-paper-nee","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/an-aquariumis-in-the-form-of-a-cuboid-whose-external-measur\/","title":{"rendered":"An aquarium\u00a0is in the form of a cuboid whose external measures are 80cm\u00d730cm\u00d740cm. The base side faces and back face are to be covered with colored paper. Find the area of the paper needed?"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"An aquarium\u00a0is in the form of a cuboid whose external measures are 80cm\u00d730cm\u00d740cm. The base side faces and back face are to be covered with colored paper. Find the area of the paper needed?","custom_permalink":"question\/mathematics\/an-aquariumis-in-the-form-of-a-cuboid-whose-external-measur\/"},"categories":[],"acf":{"question":"

An aquarium<\/span> <\/span>is in the form of a cuboid whose external measures are <\/span>80<\/mn>cm<\/mi>\u00d7<\/mo>30<\/mn>cm<\/mi>\u00d7<\/mo>40<\/mn>cm<\/mi><\/math>. The base side faces and back face are to be covered with colored paper. Find the area of the paper needed? <\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\">","options":[{"option":"3000<\/mn>cm<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span>","correct":false},{"option":"5000<\/mn>cm<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span>","correct":false},{"option":"8000<\/mn>cm<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span>","correct":true},{"option":"7000<\/mn>cm<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span> <\/span>","correct":false}],"solution":"Given data:<\/span>
Length of box (l) = 80cm.<\/span>
Breadth of box (b)=<\/span>  <\/span>30<\/mn>cm<\/mi><\/math>.<\/span>
Height of box (h)=<\/span>  <\/span>40<\/mn>cm<\/mi><\/math>.<\/span>
The box is drawn from the given data. It is in cuboid shape.<\/span>
\"\"The area of cuboid box is 2(l <\/span>\u00d7<\/mo><\/math> b) + 2(b <\/span>\u00d7<\/mo><\/math> h) + 2(l <\/span>\u00d7<\/mo><\/math> h).<\/span>
Area of paper required = area of base <\/span>+<\/mo><\/math>2 area of side to be covered <\/span>+<\/mo><\/math>area of back.<\/span>
\u27f9 (l <\/span><\/span>\u00d7<\/mo><\/math> b) + 2 (b <\/span>\u00d7<\/mo><\/math> h) + (l <\/span>\u00d7<\/mo><\/math> h)<\/span>
\u27f9<\/mo>(<\/mo>80<\/mn>\u00d7<\/mo>30<\/mn>)<\/mo>+<\/mo>2<\/mn>(<\/mo>30<\/mn>\u00d7<\/mo>40<\/mn>)<\/mo>+<\/mo>(<\/mo>80<\/mn>\u00d7<\/mo>40<\/mn>)<\/mo><\/math> <\/span>\u27f9<\/mo>2400<\/mn>+<\/mo>2400<\/mn>+<\/mo>3200<\/mn><\/math> <\/span>\u27f9<\/mo>8000<\/mn>cm<\/mi><\/mrow>2<\/mn><\/mrow><\/msup><\/math> <\/span>Hence, the area of the box to be covered is 8000cm<\/span>2<\/span>.<\/span>
Therefore, option 3 is correct.<\/span>
 <\/span>","subject":"Mathematics"},"yoast_head":"\nAn aquarium\u00a0is in the form of a cuboid whose external measures are 80cm\u00d730cm\u00d740cm. The base side faces and back face are to be covered with colored paper. Find the area of the paper needed? - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"An aquarium\u00a0is in the form of a cuboid whose external measures are 80cm\u00d730cm\u00d740cm. The base side faces and back face are to be covered with colored paper. 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