Question

what is the volume of this rectangular pyramid? 9.4 m 10.5 m 10.5 m cubic meters submit

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 \( 10.5 \, \text{m} \)). The area of a square is \( B = s\times s \), where \( s \) is the side length. So, \( B=10.5\times10.5 = 110.25 \, \text{m}^2 \).

Step3: Substitute the values into the volume formula

We know that \( h = 9.4 \, \text{m} \) and \( B = 110.25 \, \text{m}^2 \). Substituting these into the formula \( V=\frac{1}{3}Bh \), we get:
\[
V=\frac{1}{3}\times110.25\times9.4
\]
First, calculate \( \frac{1}{3}\times110.25 = 36.75 \). Then, multiply this by \( 9.4 \): \( 36.75\times9.4 = 345.45 \).

Answer:

\( 345.45 \)