# 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. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.