Question

Help now. a storage tank in the shape of a cuboid of base 2.5 m by 2 m can hold up to 7500 litres of water. Calculate the height of the tank.

Answer 1

Height of the tank is 1.5m

Explanation:

Given

Shape: Cuboid

Base Dimension = 2.5m by 2m

Volume = 7500 litres

Required

Determine the height of the tank

First, the area of the base has to be calculated;

`Area = 2.5m * 2m`

`Area = 5.0m^2`

Next is to calculate the height using volume formula;

`Volume = Area * Height`

Recall that Volume = 7500L [Convert to m³]

`1 L = 0.001m^3`

So;

`7500L = 7500 * 0.001m^3`

`7500L = 7.5m^3`

Hence;

`Volume = 7.5m^3`

Substitute 7.5m³ for Volume and 5.0m² for Area in the following formula

`Volume = Area * Height`

`7.5m\³ = 5.0m\² * Height`

Divide both sides by 5.0m²

`(7.5m\³)/(5.0m\²) = (5.0m\² * Height)/(5.0m\²)`

`(7.5m\³)/(5.0m\²) = Height`

`1.5m = Height`

`Height = 1.5m`

Hence, the height of the tank is 1.5m