> #mathematics , #pyramids , #geometry > A right pyramid has a square base of side 10cm. If it's volume is 700cm^3, find it's height?
Anonymous
Feb 19

A right pyramid has a square base of side 10cm. If it's volume is 700cm^3, find it's height?

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Feb 19
The volume of a pyramid is given by the formula V = (1/3) * base area * height.

Since the base of the pyramid is a square with side length 10cm, the base area is 10cm * 10cm = 100cm^2.

Given that the volume of the pyramid is 700cm^3, we can plug in the values into the formula:

700 = (1/3) * 100 * height
700 = 100/3 * height
700 = 33.33 * height
height = 700 / 33.33
height ≈ 21cm

Therefore, the height of the pyramid is approximately 21cm.
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