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

Answer:

Height of the tank is 1.5m

Step-by-step 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

$\frac{7.5m\³}{5.0m\²} = \frac{5.0m\² * Height}{5.0m\²}$

$\frac{7.5m\³}{5.0m\²} = Height$

$1.5m = Height$

$Height = 1.5m$

Hence, the height of the tank is 1.5m