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(4x4+4x8+4x8)

=2(16+32+32)

2(16+64)

=2x80 = 160 cm²