Question

The internal measurements of a box are 20 cm long, 16 cm wide and 24 cm high. How many 4 cm cubes can be put into the box?

Answer 1

Given,

The dimensions of the box.

l = 20 cm, b = 16 cm, h = 24 cm

Volume of cuboid = l × b × h

= 20 × 16 × 24

= 7680 cm³

Volume of cube = a³

= (4)³

= 64 cm³

4 cm cubes needed to match volume of cuboid  = `7680/64`

The number of cubes that can be put into the box = 120 cubes.