Find the height of a rectangular parallelepiped if its volume is 60 cm3

| January 13, 2021 | education

Find the height of a rectangular parallelepiped if its volume is 60 cm3, and the area of the rectangle lying at the base of the parallelepiped is 0.12 dm2.

It is required to determine its height from the known volume and area of ​​the base of the rectangular parallelepiped.
Since the answer must be expressed in centimeters, we express the given base area in square centimeters. For this purpose, remember that 1 dm2 = 100 cm2.
We have: 0.12 dm2 = 0.12 * 100 cm2 = 12 cm2.
It is known that the volume (V) of a rectangular parallelepiped is calculated by the formula: V = S * H, where S is the base area, and H is the height of the rectangular parallelepiped.
According to the condition of the task, 60 cm3 = 12 cm2 * H. From the last equality we calculate the value of H. We have: H = (60 cm3): (12 cm2) = (60: 12) cm = 5 cm.
Answer: The height of the rectangular parallelepiped is 5 cm.



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