Question

find the volume of the solid. 3 mm 4 mm 6 mm 2 mm 7 mm 4 mm 9 mm mm 3

Explanation:

Step1: Calculate the volume of the first rectangular prism

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the lower - left prism, \(l = 6\space mm\), \(w=4\space mm\), \(h = 2\space mm\).
\(V_1=6\times4\times2=48\space mm^3\)

Step2: Calculate the volume of the second rectangular prism

For the second prism, the length \(l=(9 - 6)=3\space mm\), width \(w = 4\space mm\), and height \(h=7\space mm\)
\(V_2=3\times4\times7 = 84\space mm^3\)

Step3: Sum the volumes of the two prisms

\(V=V_1 + V_2\)
\(V=48+84\)

Answer:

\(132\space mm^3\)