Question

What is the approximate volume of the remaining solid, in cubic inches?

Answer 1

To calculate the volume of the object in question we will calculate the volume of the prism and the volume of the cylinder. As you can see the total volume would be the subtraction between the volume of the prism and the volume of the cylinder.

First let's calculate the volume for the prism.

`\begin{gathered} V_1=6\cdot6\cdot8 \\ V_1=288\text{ cubic inches} \end{gathered}`

Now let's calculate the volume of the cylinder.

`\begin{gathered} V_2=\pi\cdot r^2\cdot h \\ V_2=\pi\cdot1\cdot8 \\ V_2=25.132\text{ cubic inches} \end{gathered}`

Total volume would be

`\begin{gathered} V=V_1-V_2 \\ V=288-25.132 \\ V=262.868\text{ cubic inches } \end{gathered}`

The approximate volume of the remaining solid would be 263 cubic inches.