Question

(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)

Answer 1

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

`V=(1)/(3)b^2\cdot h`

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

`12=(1)/(3)\cdot3^2\cdot h=3\cdot h`

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

`h=(12)/(3)=4`

so the height of the pyramid is 4 feet.