what is the volume of this figure? cubic feet

Answer

Explanation:

Step1: Divide the figure into two rectangular - prisms

We can divide the given figure into two rectangular - prisms. One with dimensions (10\times2\times3) and the other with dimensions (8\times2\times3).

Step2: Calculate the volume of the first rectangular - prism

The volume formula for a rectangular - prism is (V = l\times w\times h). For the first prism with (l = 10) ft, (w = 2) ft, and (h = 3) ft, (V_1=10\times2\times3=60) cubic feet.

Step3: Calculate the volume of the second rectangular - prism

For the second prism with (l = 8) ft, (w = 2) ft, and (h = 3) ft, (V_2 = 8\times2\times3=48) cubic feet.

Step4: Calculate the total volume

The total volume (V) of the figure is the sum of the volumes of the two prisms, (V=V_1 + V_2). So (V=60 + 48=108) cubic feet.

Answer:

108