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The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88cm². The volume of the cuboid is :
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- 120 cm³
- 64 cm³
- 48 cm³
- 24 cm³
- 120 cm³
Correct Option: C
Surface area of cuboid = 2 × (l × b + b × h + h × l)
= 2 (3x × 2x + 2x × x + x × 3x)
= 2 (6x² + 2x² + 3x²) = 22x²
∴ 22x² = 88
⇒ x²= 4 ⇒
⇒ X = √4 = 2
∴ l = 6 cm, b = 4 cm, h = 2 cm
∴ Volume of cuboid = l × b × h = 6 × 4 × 2 cm³ = 48 cm³
