Find the volume of a pyramid whose height is 10 cm if the base of the pyramid is a rectangle with sides 4 and 9.
| February 4, 2021 | education
The volume of the pyramid is calculated as a third of the product of the height of the pyramid and the area of its base:
V = 1/3 * h * S.
The base of the pyramid is a rectangle. The base area is defined as the product of the length and width of the rectangle:
S = a * b.
In accordance with the condition for specifying the sides of the rectangle are 4 and 9 cm, and its area is:
S = 4 * 9 = 36 cm ^ 2.
Thus, taking into account the given height of the pyramid (10 cm), the volume of the pyramid is V = 1/3 * 10 * 36 = 120 cm ^ 3.
Answer: the volume of the pyramid is 120 cm ^ 3
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