Question

what is the volume of the figure?

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 first prism with \(l = 6m\), \(w = 5m\), \(h = 5m\), we have \(V_1=6\times5\times5 = 150m^{3}\).

Step2: Calculate the volume of the second rectangular prism

For the second prism with \(l = 7m\), \(w = 6m\), \(h = 4m\), using the volume formula \(V = l\times w\times h\), we get \(V_2 = 7\times6\times4=168m^{3}\).

Step3: Calculate the total volume

The total volume \(V = V_1 + V_2\). Substitute the values: \(V=150 + 168=290m^{3}\).

Answer:

\(290m^{3}\)