Question

what is the volume of this rectangular pyramid?
14 yd
15 yd
15 yd
cubic yards
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Explanation:

Step1: Recall the volume formula for a rectangular pyramid

The volume \( V \) of a rectangular pyramid is given by the formula \( V=\frac{1}{3}Bh \), where \( B \) is the area of the base and \( h \) is the height of the pyramid.

Step2: Calculate the area of the base

The base of the rectangular pyramid is a square (since both length and width are 15 yd). The area of a square is \( B = s\times s \), where \( s = 15 \) yd. So, \( B=15\times15 = 225 \) square yards.

Step3: Substitute the values of \( B \) and \( h \) into the volume formula

We know that \( h = 14 \) yd and \( B = 225 \) square yards. Substituting these into the formula \( V=\frac{1}{3}Bh \), we get:
\( V=\frac{1}{3}\times225\times14 \)

First, calculate \( \frac{1}{3}\times225 \): \( \frac{225}{3}=75 \)

Then, multiply this result by 14: \( 75\times14 = 1050 \)

Answer:

1050