Question

A solid cuboid measuring 48 cm X 24 cm X 15 cm is melted and recast into small cubes with an edge equal to 4 cm in length. How many such cubes are made

Answer 1

Answer:

Volume of a cube of edge a=a

3

So, the volume of the original cube of edge 14cm=14

3

=2744cm

3

Volume of the smaller cube of edge 2cm=2

3

=8cm

3

As the cube of edge 14cm is melted and smaller cubes of edge 2cm are formed from it.

Volume of cube of edge 14cm= Number of cubes formed × Volume of cube of edge 2cm

2744cm

3

= Number of cubes ×8cm

3

Hence, number of cubes obtained =

Answer 2

volume of the cuboid=48×24×15 cm³=17280 cm³

volume of the cube =(4cm)³=64 cm³

number of cube=270