In Fig. 16.57, from a cuboidal solid metallic block, of dimensions 15 cm × 10 cm × 5 cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block.

Question

In Fig. 16.57, from a cuboidal solid metallic block, of dimensions 15 cm &#xD7; 10 cm &#xD7; 5 cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block.

Philoid · Accepted Answer

Here, dimension of cuboid = 15 cm × 10 cm × 5 cm

Radius of cylindrical hole = cm

Surface area of the remaining block = surface area of cuboidal solid metallic block – 2 × base area of cylindrical hole

= 2(15 × 10 + 10 × 5 + 5 × 15) - 2 ×

= 583 cm²