Question

what is the volume of this figure? cubic meters

Explanation:

Step1: Divide the figure into two rectangular - prisms.

One prism has dimensions \(5m\times9m\times2m\) and the other has dimensions \(8m\times4m\times2m\).

Step2: Calculate volume of first prism.

Using the formula \(V = l\times w\times h\), for the first prism with \(l = 5m\), \(w = 9m\), \(h = 2m\), we have \(V_1=5\times9\times2 = 90m^3\).

Step3: Calculate volume of second prism.

Using the formula \(V = l\times w\times h\), for the second prism with \(l = 8m\), \(w = 4m\), \(h = 2m\), we have \(V_2=8\times4\times2=64m^3\).

Step4: Calculate total volume.

\(V = V_1 + V_2=90 + 64=154m^3\).

Answer:

154