A rectangular tank 50 cm long, 20 cm wide, and 33 cm high is filled with water to a depth of 12cm. How many more liters of water need to be added to fill the tank?

Respuesta :

Answer:

21 litres

Step-by-step explanation:

1 litre = 1000 cubic cm

The rectangular tank is 50 cm long, 20 cm wide, and 33 cm high.

The tank is in the shape of a rectangular prism.

The volume of a rectangular prism is:

V = l * w * h

where l = length

w = width

h = height

Therefor, its volume is:

V = 50 * 20 * 33 = 33000 cubic cm = 33 litres

The tank is filled to a depth of 12 cm.

The volume of water in the tank is:

V = 50 * 20 * 12 = 12000 cubic cm = 12 litres

Therefore, the number of litres left to fill the tank is:

33 - 12 = 21 litres

The liters of water needed to fill the tank is 21 liters.

Determining the volume of the rectangular tank

The first step is to determine the volume of the tank. The tank has the shape of a cuboid. Thus, the formula for the volume of a cuboid would be used to determine the volume of the tank.

Volume of the tank = length x width x height

50 x 20 x 33 = 33,000

Determination of water needed to fill the tank.

1 liter = 1000 cm

33,000 / 1000 = 33

The tank is already filled with 12 liters of water.

Water needed = 33 - 12 = 21 liters

To learn more about volume of a cuboid, please check: https://brainly.com/question/46030