what is the volume of this figure? cubic meters

Answer

Explanation:

Step1: Divide the figure into two rectangular - prisms

We can split the L - shaped figure into two rectangular prisms. One prism has dimensions (2m\times1m\times3m) and the other has dimensions ((5 - 1)m\times1m\times1m).

Step2: Calculate the volume of the first prism

The volume formula for a rectangular prism is (V = l\times w\times h). For the first prism with (l = 2m), (w = 1m), and (h = 3m), (V_1=2\times1\times3 = 6m^3).

Step3: Calculate the volume of the second prism

For the second prism, (l=(5 - 1)m = 4m), (w = 1m), (h = 1m). Using the volume formula (V = l\times w\times h), (V_2=4\times1\times1=4m^3).

Step4: Calculate the total volume

The total volume (V = V_1+V_2). So (V=6 + 4=10m^3).