Question

what is the volume of this figure?
2 ft.
4 ft.
8 ft.
2 ft.
5 ft.
____ cubic feet
submit

Explanation:

Step1: Split into two rectangular prisms

Divide the L-shape into two separate rectangular solids.

Step2: Calculate volume of Prism 1

Prism 1: dimensions $8$ ft, $2$ ft, $4$ ft.
Volume: $V_1 = 8 \times 2 \times 4 = 64$ cubic ft

Step3: Calculate volume of Prism 2

Prism 2: dimensions $2$ ft, $(5-2)$ ft, $4$ ft.
Volume: $V_2 = 2 \times 3 \times 4 = 24$ cubic ft

Step4: Sum the two volumes

Total volume = $V_1 + V_2$

Answer:

88 cubic feet