The edges of a cuboid are in the ratio 1 : 2 : 3 and its sunface area is 88 cm2. The volume of the cuboid is :_________?

A. 24 cm³
B. 48 cm³
C. 64 cm³
D. 120 cm³

Let the dimensions of the cuboid be x, 2x and 3x.
Then, 2 (x X 2x + 2x X 3x + x X 3x) = 88
⇔ 2X2 6X2 + 3X2 = 44 ⇔ 11X2 = 44 ⇔ X2 = 4 ⇔ x = 2.
Volume of the Cuboid = (2 X 4 X 6) cm3 = 48 cm³.

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