If the edges of a cuboid are in the ratio 4 : 3 : 2 and its surface area is 208 cm². The volume of the cuboid is -

256 cm³ 484 cm³ 676 cm³ 192 cm³

192 cm³

Edges of cuboid = l, b, h = 4x, 3x, 2x, Surface area = 2(lb + bh + lh) = 2 (12x2 + 6x2 + 8x2) ⇒ 208 = 2 × 26 x2 ⇒ x= 2 Edges = 4 × 2, 3 × 2, 2 × 2 = 8 cm, 6 cm, 4 cm So, Volume = lbh = 8 × 6 × 4 = 192 cm3