Question

think of a way to split the container into two parts. find the volume of each part of the container. then, complete the equation below to find the volume of the entire container.

Explanation:

Step1: Split the shape into two rectangular - prisms

One prism with dimensions \(3m\times3m\times4m\) and another with dimensions \(3m\times(5 - 3)m\times4m\).

Step2: Calculate volume of first prism

Using the formula \(V = l\times w\times h\), for the first prism with \(l = 3m\), \(w = 3m\), \(h = 4m\), we have \(V_1=3\times3\times4=36m^{3}\).

Step3: Calculate volume of second prism

For the second prism with \(l = 3m\), \(w=(5 - 3)m = 2m\), \(h = 4m\), we have \(V_2=3\times2\times4 = 24m^{3}\).

Step4: Calculate total volume

The total volume \(V=V_1 + V_2=36+24 = 60m^{3}\).

Answer:

\(60m^{3}\)