Question

what is the volume of this figure? cubic feet

Explanation:

Step1: Divide the figure into two rectangular - prisms

The first prism has dimensions 11 ft (height), 6 ft (length), 5 ft (width). The second prism has dimensions 9 ft (height), 3 ft (length), 5 ft (width).

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, $V_1=6\times5\times11 = 330$ cubic feet.

Step3: Calculate the volume of the second prism

Using the volume formula $V = l\times w\times h$, for the second prism, $V_2 = 3\times5\times9=135$ cubic feet.

Step4: Calculate the total volume of the figure

The total volume $V = V_1 + V_2$. So, $V=330 + 135=465$ cubic feet.

Answer:

465