A cube-shaped tank with an edge length of 20 centimetres contains 3.75 litres of water.
a. What is the capacity of the tank? Give your answer in litres.
The capacity of the tank is 20 cm x 20 cm x 20 cm = 8000 cubic centimeters.
1 liter = 1000 cubic centimeters, so 3.75 liters = 3750 cubic centimeters.
Therefore, the capacity of the tank is 8000/1000 = 8 liters.
To find the capacity of the tank, we need to find the volume of the cube-shaped tank.
The formula for the volume of a cube is:
Volume = (edge length)^3
Given that the edge length of the tank is 20 centimetres, we can substitute it into the formula:
Volume = (20 cm)^3
Calculating the volume:
Volume = 20 cm * 20 cm * 20 cm
Volume = 8000 cm^3
Since 1 litre is equal to 1000 cm^3, we need to convert the volume to litres:
Volume (in litres) = Volume (in cm^3) / 1000
Converting the volume to litres:
Volume (in litres) = 8000 cm^3 / 1000
Volume (in litres) = 8 litres
Therefore, the capacity of the tank is 8 litres.