A water storage tank is shaped like a rectangular prism. The tank measures 60 centimetres
by 40 centimetres by 30 centimetres. The height of the water in the tank is 18 centimetres.
How many more cubic centimetres of water are needed to completely fill the tank?
The volume of the tank is:
V = l × w × h
V = 60 cm × 40 cm × 30 cm
V = 72,000 cm³
The volume of water in the tank is:
Vwater = l × w × hwater
Vwater = 60 cm × 40 cm × 18 cm
Vwater = 43,200 cm³
To find out how much more water is needed to completely fill the tank, we subtract the volume of water in the tank from the volume of the tank:
Vneeded = V - Vwater
Vneeded = 72,000 cm³ - 43,200 cm³
Vneeded = 28,800 cm³
Therefore, 28,800 cubic centimetres of water are needed to completely fill the tank.
To find the volume of the tank, we need to multiply its length, width, and height. The formula for volume of a rectangular prism is:
Volume = length * width * height
Given the dimensions of the tank:
Length = 60 cm
Width = 40 cm
Height = 30 cm
Let's calculate the volume of the tank:
Volume = 60 cm * 40 cm * 30 cm
Volume = 72,000 cm^3
Now, to find the remaining space in the tank, we need to subtract the volume of the water already in the tank from the total volume of the tank. The height of the water is given as 18 cm.
Volume of water = length * width * height
Volume of water = 60 cm * 40 cm * 18 cm
Volume of water = 43,200 cm^3
Remaining space in the tank = Total volume of the tank - Volume of water
Remaining space in the tank = 72,000 cm^3 - 43,200 cm^3
Remaining space in the tank = 28,800 cm^3
Therefore, 28,800 cubic centimeters of water are needed to completely fill the tank.