A parallelepiped with a volume of 1560 cm3 has a height of 30 cm.
| May 6, 2021 | education
A parallelepiped with a volume of 1560 cm3 has a height of 30 cm. What volume will a parallelepiped have if the base area does not change, and the height is 11 cm.
The volume of the parallelepiped is h * S, where h is the height of the parallelepiped and S is the area of the base.
This means that the area of the base of this parallelepiped will be equal to the ratio of its volume to its height:
S = 1560/30 = 52 (cm2).
Let’s calculate the volume of a parallelepiped with the same base area and a height of 11 cm:
52 * 11 = 572 (cm3).
Answer: 572 cm3.
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