Question

1. 2 in 5 in 10 in 1 in 8 in

Explanation:

Step1: Divide the shape into two rectangular - prisms

The larger prism has dimensions \(l_1 = 8\) in, \(w_1 = 1\) in, \(h_1 = 10\) in. The smaller prism has dimensions \(l_2=10\) in, \(w_2 = 2\) in, \(h_2 = 5\) in.

Step2: Calculate the volume of the first rectangular - prism

Use the volume formula \(V = l\times w\times h\). For the first prism \(V_1=l_1\times w_1\times h_1=8\times1\times10 = 80\) in³.

Step3: Calculate the volume of the second rectangular - prism

Using the volume formula \(V = l\times w\times h\), for the second prism \(V_2=l_2\times w_2\times h_2=10\times2\times5 = 100\) in³.

Step4: Calculate the total volume

The total volume \(V = V_1+V_2=80 + 100=180\) in³.

Answer:

180 in³