Question

Explain how you found the volume of the rectangular prism with a hole through it.

Answer 1

Find the volume of a prism with a cylinder cut through it,

Prism:
\(V=\color{lime}{Bh}\)
Cylinder:
\(V=\color{tomato}{\pi r^2h}\)

So the equation would be,
\(V_\text{shape}=\color{lime}{V_\text{prism}}-\color{tomato}{V_\text{cylinder}}\)

Which would be
\(V_\text{shape}=\color{lime}{Bh}-\color{tomato}{\pi r^2h}\)