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 -
Answer & explanation
Correct answer: option 4
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