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The length, breadth and height of a cuboid are in the ratio 3 : 4 : 6 and its volume is 576 cm³. The whole surface of the cuboid is
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- 216 cm²
- 324 cm²
- 432 cm²
- 460 cm²
- 216 cm²
Correct Option: C
Length of parallelopiped = 3x cm
breadth = 4x cm
and height = 6x cm.
∴ Its volume = 576 cu.cm.
⇒ 3x × 4x × 6x = 576
⇒ 72x³ = 576
| ⇒ x³ = | = 8 | |
| 72 |
⇒ x = ³√8 = 2
∴ Total surface area = 2(l × b + b × h + h × l )
= 2(3x × 4x + 4x × 6x + 6x × 3x)
= 2(12x² + 24x2 + 18x2)
= 108 x²
= 108 × 2² = 108 × 4
= 432 sq. cm.
