Answered

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(08.01 MC)Find the height of a square pyramid that has a volume of 12 cubic feetand a base length of 3 feet. (1 point)

Sagot :

Recall that we can do the following picture

We want to find the height of this pyramid and are told the volume of the pyramid. Recall that the volume of a square pyramid of height h and base length b is given by the formula

[tex]V=\frac{1}{3}b^2\cdot h[/tex]

In our case, we have V=12, and b=3. So we have the following equation

[tex]12=\frac{1}{3}\cdot3^2\cdot h=3\cdot h[/tex]

So, we should find the value of h from this equation. To do, we simply divide both sides by 3, so we get

[tex]h=\frac{12}{3}=4[/tex]

so the height of the pyramid is 4 feet.

View image KeiandreR127831
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