# The length of the rectangular parallelepiped is 14cm, the width is 8cm and the height is 7cm.

July 19, 2021 | education

| **The length of the rectangular parallelepiped is 14cm, the width is 8cm and the height is 7cm. Find the height of another rectangular parallelepiped, if its length is 28cm, width is 7cm, the volume is equal to the volume of the first parallelepiped.**

The volume of a rectangular parallelepiped is calculated by the formula:

V = a * b * c.

Let’s find this value, provided that its measurements are 14, 8 and 7 cm:

V = 14 * 8 * 7 = 112 * 7 = 784 cm³.

Since the volume of the second such figure is equal to the first, but the length = 28 cm, and the width = 7 cm, we express its height:

c = V: a: b = 784: 28: 7 = 28: 7 = 4 cm.

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