The length breadth and height of a cuboid are in the ratio 4 : 3 : 2. If the volume of cuboid is 1536 cm, then what will be the total surface area of the cuboid?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 832 cm2
| Understanding/Application |
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Let length breadth and height of the cuboid are 4x, 3x, 2x cm respectively Volume of cuboid = lbh 4x × 3x × 2x = 1536 24x3 = 1536 x3 = 64 x = 4 cm |
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4x = 4(4) = 16 cm 3x = 3(4) = 12 cm 2x = 2(4) = 8 cm TSA of cuboid = 2(lb + bh + hl) = 2[(16 × 12) + (12 × 8) + (8 × 16)] = 2[192 + 96 + 128] = 2[416] = 832 cm2 |