Question

b. find the volume of each figure to the n 4. 5. ( h = 8 ) 2 rectangle prism

Explanation:

Step1: Calculate the volume of the lower prism

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the lower prism, \(l = 5\), \(w=4\), \(h = 3\). So \(V_1=5\times4\times3 = 60\).

Step2: Calculate the volume of the upper prism

For the upper prism, the height \(h=(3 + 2)-3=2\), \(l = 5\), \(w=(5 - 4)=1\). Using the volume formula \(V = l\times w\times h\), we have \(V_2=5\times1\times(3 + 2)=5\times1\times5 = 25\).

Step3: Sum the volumes of the two prisms

The total volume \(V=V_1 + V_2\). Substitute \(V_1 = 60\) and \(V_2=25\) into the formula, \(V=60+25=85\).

Answer:

\(85\)