Answer
The volume of the Pyramid is \[400\text{ }{{\text{m}}^{3}}\].
Work Step by Step
The volume of the Pyramid is \[400\text{ }{{\text{m}}^{3}}\].
The dimensions of the base are \[10\text{ m}\] and \[10\text{ m}\]. The height of the pyramid is \[12\text{ m}\]. First, compute the area of the base by multiplying the length and width using the equation as shown below:
\[\begin{align}
& \text{Area of base}\left( B \right)=\text{Length}\left( l \right)\times \text{width}\left( w \right) \\
& =\left( 10\times 10 \right)\text{ }{{\text{m}}^{\text{2}}} \\
& =100\text{ }{{\text{m}}^{\text{2}}}
\end{align}\]
Now, compute the volume of the pyramid using the equation as shown below:
\[\begin{align}
& \text{Volume of the Pyramid}\left( V \right)=\frac{1}{3}\text{ }\!\!\times\!\!\text{ Area of Base}\left( B \right)\times \text{Height}\left( h \right) \\
& =\left( \frac{1}{3}\times 100\text{ }{{\text{m}}^{2}}\times 12\text{ m} \right) \\
& =400\text{ }{{\text{m}}^{3}}
\end{align}\]
Hence, the volume of the given figure is \[400\text{ }{{\text{m}}^{3}}\].
