Question

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

• A. 120 cub.cm
• B. 64 cub.cm
• C. 48 cub.cm
• D. 24 cub.cm

Answer 1

Answer:

C. 48 cub.cm

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

$x=4cm$

l = 6 cm, b = 4 cm, h = 2 cm

Volume of cuboid = l × b × h = 6 × 4 × 2 cm³

= 48 cm³