# The volume of the container, which has the shape of a rectangular parallelepiped

**The volume of the container, which has the shape of a rectangular parallelepiped, is 40.575 m³. Find the height of the container if the bottom area is 54.1 m².**

All six side faces of a rectangular parallelepiped are rectangles.

The opposite edges of the shape are the same.

The volume of a rectangular parallelepiped is calculated by multiplying the area of the base by the height of the figure.

The area of the base is found by multiplying the length by the width of the rectangle lying at the base of the figure.

Formula for determining the volume of a rectangular parallelepiped:

V = S * c = a * b * c;

V is the volume of the figure;

S is the area of the base of the figure;

a and b – the length and width of the base;

с – the height of the parallelepiped.

Let’s deduce the height from the formula and find its value:

s = V / S = 40.575 m3 / 54.1 m2 = 0.75 m = 75 cm.

Answer: the height of the container is 0.75 m.