Question

Two cubes of side 4cm are fixed together.Find the total surface area ie the new solid formed

Answer 1

Given, the edge of the cube is 4 cm.

When two cubes are joined end to end, then the resulting solid is a cuboid.

Length of the cuboid, l = 2 × Edge of the cube = 2 × 4 cm = 8 cm

Breadth of the cuboid, b = Edge of the cube = 4 cm

Height of the cuboid, h = Edge of the cube = 4 cm

Surface area of the cuboid

= 2 (lb + bh + hl)

= 2 (8 cm × 4 cm + 4 cm × 4 cm + 4 cm × 8 cm)

= 2 (32 cm2 + 16 cm2 + 32 cm2)

= 2 × 80 cm2

= 160 cm2

Thus, the surface area of the resulting cuboid is 160 cm2.