Question

8.
3 in
2 in
3 in
3 in
10 in

Explanation:

Step1: Split the shape into two rectangular - prisms

The given composite shape can be split into a smaller rectangular - prism on the left and a larger rectangular - prism on the right.

Step2: Calculate the volume of the smaller rectangular - prism

The volume formula for a rectangular - prism is $V = l\times w\times h$. For the smaller rectangular - prism, $l = 3$ in, $w = 2$ in, and $h = 3$ in. So, $V_1=3\times2\times3 = 18$ in³.

Step3: Calculate the volume of the larger rectangular - prism

For the larger rectangular - prism, $l = 10$ in, $w = 3$ in, and $h = 3$ in. So, $V_2 = 10\times3\times3=90$ in³.

Step4: Calculate the total volume

The total volume $V$ of the composite shape is the sum of the volumes of the two rectangular - prisms. $V=V_1 + V_2=18 + 90=108$ in³.

Answer:

108 in³