How many cubic centimeters is the volume of a cube with an edge of 4 cm less than the volume

univerkov | April 16, 2021 | education

How many cubic centimeters is the volume of a cube with an edge of 4 cm less than the volume of a parallelepiped with changes of 3 cm 5 cm 6 cm?

As is known, the volume of a cube with edge a is equal to V = a³.

According to the condition of the problem, a = 4 cm, which means that the volume of this cube will be equal to:

V = 4³ = 64 (cm³).

The volume of a parallelepiped with measurements a, b, c will be: v = a * b * c.

By the condition of the problem a = 3 cm., B = 5 cm., C = 6 cm., Therefore, the volume of this parallelepiped will be equal to:

v = 3 * 5 * 6 = 90 (cm³).

Thus, the volume of the parallelepiped will be greater than the volume of the cube by:

v – V = 90 – 64 = 26 (cm³).

Answer: 26 cm³.

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