Question

How many spherical lead shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm × 11 cm × 12 cm?

Answer 1

Given a cuboidal lead solid with dimensions 9 cm × 11 cm × 12 cm

We have to find the number of spherical lead shots each having a diameter

of 3cm which can be made from the cuboidal lead solid.

Let the length of cuboidal lead solid L = 9 cm

Let the breadth of cuboidal lead solid B = 11 cm

Let the length of cuboidal lead solid H = 9 cm

Let the number of spherical lead shots = x

Volume of a spherical lead shot =

Volume of the cubical lead shot =