Question

The dimensions of a solid metallic cuboid are 72 cm × 30 cm × 75 cm. It is melted and recast into identical solid metal cubes with each edge 6 cm. Find the number of cube formed

Answer 1

Dimensions of the cuboid = 72 cm × 30 cm × 75 cm

volume = lbh
= 72 cm × 30 cm × 75 cm

= 162000cm³

Volume of each small cube = (6cm)³ = 216cm³

Number of cubes formed

=
$\frac{162000 {cm}^{ 3} }{216 {cm}^{3} }$

= 750

therefore,

750 cubes will be formed.