Answer
The volume of the pyramid is\[175\text{ y}{{\text{d}}^{3}}\].
Work Step by Step
A solid figure whose base is a polygon and side are triangles will be termed as a pyramid. The volume may be defined as the capacity or space that is being occupied by an item. The volume is expressed in terms of cubic units. The volume of a pyramid is determined as the one-third of the resultant of the base area and height of the pyramid.
To compute the volume of the pyramid, firstly compute the area of the base by multiplying the length and breadth of the base of the pyramid.
Compute the area of the base of the pyramid using the equation as shown below:
\[\begin{align}
& \text{Area of the base}=\left( 7\times 5 \right)\text{y}{{\text{d}}^{\text{2}}} \\
& =35\text{ y}{{\text{d}}^{\text{2}}}
\end{align}\]
Now, compute the volume of the pyramid using the equation as shown below:
\[\begin{align}
& \text{Volume of the pyramid}=\left( \frac{1}{3}\times 35\text{ y}{{\text{d}}^{2}}\times 15\text{ yd} \right) \\
& =\left( \frac{1}{3}\times 525\text{ y}{{\text{d}}^{3}} \right) \\
& =175\text{ y}{{\text{d}}^{3}}
\end{align}\]
