When a rock is put into a tank full of water, water is displaced and is collected by a container. If the base of that container is 12cm x 15cm and the water level is 4.5 cm, what is the volume of the rock?
The rock volume equals the displaced water volume, which is 12x15x4.5 = ? cm^3
thank you!
To find the volume of the rock, we need to calculate the volume of the water that is displaced by the rock.
First, let's calculate the volume of water that is collected in the container:
Volume of water = base area × water level
The base area is given as 12 cm × 15 cm, which gives us 180 cm².
Multiplying the base area by the height of the water level (4.5 cm) gives us:
Volume of water = 180 cm² × 4.5 cm = 810 cm³
Therefore, the volume of water displaced by the rock is 810 cm³.
Since the rock fully displaces the water, the volume of the rock is equal to the volume of the water displaced. Therefore, the volume of the rock is also 810 cm³.