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Volume and Surface Area - Questions and Answers

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11. A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids, is :
A. 284 cm2
B. 286 cm2
C. 296 cm2
D. 300 cm2
Explanation: ANSWER : 286 cm2
12. The surface area of a cuboid 22 cm by 12 cm by 7.5 cm, is :
A. 1980 cm2
B. 2076 cm2
C. 1038 cm2
D. none of these
Explanation: ANSWER : 1038 cm2
13. A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 22 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the rise in level of the field will be :
A. 0.299 cm
B. 0.29 cm
C. 2.98 cm
D. 4.15 cm
Explanation: ANSWER : 2.98 cm
14. The sum of length, breadth and depth of a cuboid is 19 cm and its diagonal is 5 cm. Its surface area is :
A. 361 cm2
B. 125 cm2
C. 236 cm2
D. 486 cm2
Explanation: ANSWER : 236 cm2
15. If the length, breadth and the height of a cuboid are in the ratio 6 : 5 : 4 and if the total surface area is 33300 cm2, then the length, breadth and height in cms, are respectively :
A. 90,85,60
B. 85,75,60
C. 90,75,70
D. 90,75,60
Explanation: ANSWER : 90,75,60