Question

what is the volume of this figure? 3 ft. 14 ft. 2 ft. 2 ft. 8 ft. 7 ft. cubic feet

Explanation:

Step1: Calculate volume of large rectangular - prism

The volume formula for a rectangular - prism is $V = l\times w\times h$. For the large rectangular - prism, $l = 14$ ft, $w = 3$ ft, and $h = 8$ ft. So $V_1=14\times3\times8 = 336$ cubic feet.

Step2: Calculate volume of small rectangular - prism

For the small rectangular - prism, $l = 7$ ft, $w = 2$ ft, and $h = 2$ ft. So $V_2 = 7\times2\times2=28$ cubic feet.

Step3: Calculate total volume

The total volume $V$ of the figure is the sum of the volumes of the two rectangular - prisms. So $V=V_1 + V_2=336+28 = 364$ cubic feet.

Answer:

364