Question

find the volume of each figure to the nearest cubic unit.

Explanation:

Step1: Calculate the volume of the lower rectangular prism

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the lower prism, \(l = 5\), \(w = 5\), \(h = 3\).
\(V_1=5\times5\times3 = 75\)

Step2: Calculate the volume of the upper rectangular prism

The height of the upper prism is \(3 + 2=5\) (no, wait, the height of the upper prism: the total height of the combined - figure's vertical side. The height of the upper prism \(h_2=3 + 2-3=2\) (using the vertical dimension). Length \(l = 5\), width \(w=(5 - 4)=1\) (from the horizontal dimension).
\(V_2=5\times1\times(3 + 2)=5\times1\times5 = 25\)

Step3: Sum the volumes of the two prisms

\(V=V_1 + V_2\)
\(V=75+25=100\)

Answer:

\(100\) cubic units