Question

what is the volume of this figure? 2 in. 7 in. 10 in. 2 in. 3 in. cubic inches

Explanation:

Step1: Divide the figure into two rectangular - prisms.

One prism has dimensions \(7\times3\times2\) and the other has dimensions \(10\times2\times2\).

Step2: Calculate the volume of the first prism.

The volume formula for a rectangular - prism is \(V = l\times w\times h\). For the first prism with \(l = 7\), \(w = 3\), and \(h = 2\), \(V_1=7\times3\times2=42\) cubic inches.

Step3: Calculate the volume of the second prism.

For the second prism with \(l = 10\), \(w = 2\), and \(h = 2\), \(V_2=10\times2\times2 = 40\) cubic inches.

Step4: Find the total volume.

Add the volumes of the two prisms: \(V = V_1+V_2=42 + 40=82\) cubic inches.

Answer:

82