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The edges of a rectangular box are in the ratio 1 : 2 : 3 and its surface area is 88 cm². The volume of the box is
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- 24 cm³
- 48 cm³
- 64 cm³
- 120 cm³
- 24 cm³
Correct Option: B
Sides of the box = x, 2x and 3x cm
∴ 2 (x × 2x + 2x × 3x + 3x × x) = 88
⇒ 11x² = 44
⇒ x² = 4
⇒ x = 2
∴ Volume of the box = x × 2x × 3x
= 6x³ = 6 × 8 = 48 cu.cm.
