Question

Two cubes each of volume 216 cm³ are joined end to end together. Find the total surface area of the resulting cuboid.

Answer 1

Given, volume of the cube V = a³ = 216 cm³ 

∴ a³ = 6 × 6 × 6 = 6³

Hence a = 6 cm

When two cubes are added, the length of cuboid = 2a = 2 × 6 = 12 cm, 

breadth = a = 6 cm, 

height = a = 6 cm is formed. 

∴ T.S.A. of the cuboid 

= 2(lb + bh +lh) 

= 2(12×6 + 6×6 + 12×6) 

= 2(72 + 36 + 72) 

= 2 × 180 = 360 cm² 

∴ The surface area of resulting cuboid is 360 cm².