Question

Sara correctly find the volume of the square pyramid below to be 29162916 ft³. What was the pyramid's height? Click Here for Help H feet 9 feet 18 feetThe height of the pyramid is feet.

Answer 1

To find the height of a square pyramid given its volume, we can use the formula for the volume of a square pyramid:

\[
V = \frac{1}{3} \times B \times h
\]

where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height of the pyramid.

Since the problem indicates that Sara found the volume to be 29,162,916 ft³, we need to know the area of the base \( B \) in order to calculate the height \( h \).

Let's assume that you are referring to a square pyramid where the base side length is known (or constant) but a value wasn't given in your question. For now, I'll show you how to rearrange the formula to solve for height:

\[
h = \frac{3V}{B}
\]

Once you have the area \( B \) of the base, you can plug that and the volume \( V = 29,162,916 \, \text{ft}^3 \) into this equation to calculate the height.

Could you please provide the side length of the base or the area of the base so that we can calculate the height?