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;
[tex]Area = 2.5m * 2m[/tex]
[tex]Area = 5.0m^2[/tex]
Next is to calculate the height using volume formula;
[tex]Volume = Area * Height[/tex]
Recall that Volume = 7500L [Convert to m³]
[tex]1 L = 0.001m^3[/tex]
So;
[tex]7500L = 7500 * 0.001m^3[/tex]
[tex]7500L = 7.5m^3[/tex]
Hence;
[tex]Volume = 7.5m^3[/tex]
Substitute 7.5m³ for Volume and 5.0m² for Area in the following formula
[tex]Volume = Area * Height[/tex]
[tex]7.5m\³ = 5.0m\² * Height[/tex]
Divide both sides by 5.0m²
[tex]\frac{7.5m\³}{5.0m\²} = \frac{5.0m\² * Height}{5.0m\²}[/tex]
[tex]\frac{7.5m\³}{5.0m\²} = Height[/tex]
[tex]1.5m = Height[/tex]
[tex]Height = 1.5m[/tex]
Hence, the height of the tank is 1.5m
