# The base of the pyramid is a rectangle with sides 3 and 8. Its volume is 48. Find the height of this pyramid.

July 28, 2021 | education

| In order to calculate the height of the pyramid for a given base, it is best to use the formula for its volume:

V = 1/3 * S main. * h, where V is the volume, S main. – respectively, the area of the base and h – the height of the pyramid.

The area of the rectangle according to the formula (S = a * b) is equal to: 3 * 8 = 24.

Let’s make the equation: 48 = 1/3 * 24 * h.

Let’s calculate h: 48/24 * 3 = 6.

Answer: h = 6.

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