Question

A Perspex container has a 6 cm square base and contains

water to a height of 7 cm (Figure 1.13).
a What is the volume of the water?
b A stone is lowered into the water so as to be
completely covered and the water rises to a height of
9 cm. What is the volume of the stone?

Answer 1

a) V = 252 cm³

b) Vs = 72 cm³

Step-by-step explanation:

a)

The volume of the water can be given by the following formula:

`Volume\ of\ Water = V = (Base\ Area)(Height)\\V = (Length)^2(Height)\\V = (6\ cm)^2(7\ cm)\\`

V = 252 cm³

b)

The volume of stone can be given by the change in volume of the water when the stone is dipped into it.

`Volume\ of\ Stone = Vs = (Length)^2(Change\ in\ Height\ of\ Water)\\Vs = (6\ cm)^2(9\ cm - 7\ cm)\\`

Vs = 72 cm³