(Q6).Two cubes each of volume 64 cm3 are joined end to end together. Find the surface area of the resulting cuboid.

Answer:

Given, volume of the cube.

V = a3 = 64 cm3

∴ a3 = × × = , Hence a = cm

When two cubes are added, the length of cuboid = 2a = × = cm,

breadth = a = cm.

height = a = cm is formed.

8 cm4 cm4 cm4 cm4 cm

∴ T.S.A. of the cuboid

= 2 (lb + bh + lh)

= ( × + × + × )

= ( + + )

= ×

= cm2

∴ The surface area of resulting cuboid is cm2.