Question

3 cubesof eachof side 5cm are joined end to end find the surface area of the resulting cuboid

Answer 1

Sol:

Given, each side of the cube is 5 cm.

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

Length of the cuboid, l = 2 × each side of the cube = 2 × 5 cm = 10 cm

Breadth of the cuboid, b = each side of the cube = 5 cm

Height of the cuboid, h = each side of the cube = 5 cm

Surface area of the cuboid

= 2 (lb + bh + hl)

= 2 (10 cm × 5 cm + 5 cm × 5 cm + 5 cm × 10cm)

= 2 (50 cm2 + 25cm2 + 50 cm2)

= 2 × 125 cm2.

= 250 cm2.

Thus, the surface area of the resulting cuboid is 250 cm2.