Question

what is the volume of this figure? 3 in. 9 in. 6 in. 2 in. 6 in. 1 in. cubic inches submit work it out not feeling ready yet? these can help:

Explanation:

Step1: Calculate volume of first rectangular - prism

The volume formula for a rectangular - prism is \(V = l\times w\times h\). For the first rectangular - prism with \(l = 9\) in, \(w = 3\) in, and \(h = 6\) in, we have \(V_1=9\times3\times6=162\) cubic inches.

Step2: Calculate volume of second rectangular - prism

For the second rectangular - prism with \(l = 6\) in, \(w = 1\) in, and \(h = 2\) in, using the volume formula \(V = l\times w\times h\), we get \(V_2 = 6\times1\times2=12\) cubic inches.

Step3: Calculate total volume

The total volume \(V\) of the figure is the sum of the volumes of the two rectangular - prisms, so \(V=V_1 + V_2=162+12 = 174\) cubic inches.

Answer:

174