A solid piece of metal, cuboidal in shape with dimensions 24cm, 18cm,

1.	A solid piece of metal, cuboidal in shape with dimensions 24cm, 18cm, 4cm is recast into a cube. Find the CSA of the cube.
Answer» Volume of cuboidal metal= 24 cm * 18cm* 4 cm= 1728 cubic cm Volume will remains same as the same metal cuboidal is recast into cube. Volume of cube = 1728 cubic cm Side of cube = cube root of 1728= 12 cm Lateral surface area = 4 * sideside= 4 12 * 12= 576 sq. cm Thanks

A solid piece of metal, cuboidal in shape with dimensions 24cm, 18cm, 4cm is recast into a cube. Find the CSA of the cube.

Answer»

Volume of cuboidal metal= 24 cm * 18cm* 4 cm= 1728 cubic cm

Volume will remains same as the same metal cuboidal is recast into cube.

Volume of cube = 1728 cubic cm

Side of cube = cube root of 1728= 12 cm

Lateral surface area = 4 * side*side= 4 * 12 * 12= 576 sq. cm

Thanks