Question

question 13(multiple choice worth 4 points)
(05 02 mc)
the length of the base edge of a square pyramid is 6 ft, and the height of the pyramid is 20 ft. what is the volume of the pyramid?
o 720 ft³
o 360 ft³
o 240 ft³
o 120 ft³

Explanation:

Step1: Calculate the base area

The base is a square with side length \(s = 6\) ft. The area of a square \(A_{base}=s^{2}\). So, \(A_{base}=6^{2}=36\) \(ft^{2}\).

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}A_{base}h\), where \(h = 20\) ft. Substitute \(A_{base}=36\) \(ft^{2}\) and \(h = 20\) ft into the formula: \(V=\frac{1}{3}\times36\times20\). First, \(\frac{1}{3}\times36 = 12\), then \(12\times20=240\) \(ft^{3}\).

Answer:

\(240\ ft^{3}\) (the second option)