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Determine the height of a square pyramid with a volume of 225 cubic inches and a base edge of 5 inches.

Sagot :

Answer:

h = 27 inches

Step-by-step explanation:

Given that,

The volume of a square pyramid, V = 225 inches³

The base edge of a square pyramid, b = 5 inches

We need to find the height of a square pyramid. The formula for the volume of a square pyramid is given by :

[tex]V=\dfrac{1}{3}B\times h[/tex]

B is area of base, B = b²

So,

[tex]h=\dfrac{3V}{b^2}\\\\h=\dfrac{3\times 225}{5^2}\\\\h=27\ \text{inches}[/tex]

So, the height of the square pyramid is 27 inches.

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