Question

The two boxes shown are cuboids.

Work out how many of the smaller boxes you would need to completely fill the larger one.

Answer 1

250 smaller cuboids

Explanation:

Given

Small and Big cuboids

Required

Number of smaller cuboids in the big one

To do this, we calculate the volume of both cuboids.

`Volume = Length * Width * Height`

For the small cuboid

`V_1 = 10cm * 3cm * 4cm`

`V_1 = 120cm^3`

For the big cuboid

`V_2 = 50cm * 30cm * 20cm`

`V_2 = 30000cm^3`

The number of small in big is then calculated by diving the volumes

`Number = (V_2)/(V_1)`

`Number = (30000cm^3)/(120cm^3)`

`Number = (30000)/(120)`

`Number = 250`

Hence, there are 250 small cuboids in the large one