Answer
The volume of the pyramid is\[800\text{ y}{{\text{d}}^{3}}\].
Work Step by Step
The dimensions of the base are 15 yd. and 8 yd. and the height of the pyramid is 20 yd. Firstly, compute the area of the base by multiplying the length and width using the equation as shown below:
\[\begin{align}
& \text{Area of base}\left( B \right)=\left( 15\times 8 \right)\text{ y}{{\text{d}}^{\text{2}}} \\
& =120\text{ y}{{\text{d}}^{\text{2}}}
\end{align}\]
Now, compute the volume of the pyramid using the equation as shown below:
\[\begin{align}
& \text{Volume of the Pyramid (}V\text{)}=\left( \frac{1}{3}\times 120\times 20 \right)\text{y}{{\text{d}}^{3}} \\
& =800\text{ y}{{\text{d}}^{3}}
\end{align}\]
