Question

2 cubes each of volume 64 cm³ are joined end to end. Find the surface area of the resulting cuboid.

Answer 1

Given that,

Volume of cubes = 64 cm³

(Edge)³ = 64

Edge = 4 cm

If cubes are joined end to end, the dimensions of the resulting cuboid will be 4 cm, 4 cm, 8 cm.

∴ Surface area of cuboids = 2(lb + bh + lh)

= 2[(4 × 4) + (4 × 8) + (4 × 8)]

= 2(16 + 32 + 32)

= 2(16 + 64)

= 2 × 80

= 160 cm².