Question

what is the volume of this figure? cubic inches

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, $l = 11$ in, $w = 4$ in, and $h = 6$ in. So $V_1=11\times4\times6 = 264$ cubic inches.

Step2: Calculate volume of small rectangular - prism

For the small rectangular - prism, $l = 5$ in, $w = 4$ in, and $h = 3$ in. So $V_2 = 5\times4\times3=60$ cubic inches.

Step3: Calculate total volume

The total volume $V$ of the figure is the sum of the volumes of the two rectangular - prisms. So $V=V_1 + V_2=264+60 = 324$ cubic inches.

Answer:

324