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what is the volume of this figure? 8 ft. 1 ft. 3 ft. 5 ft. 1 ft. 2 ft. …

Question

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

Explanation:

Step1: Calculate volume of top prism

Volume = $8 \times 1 \times 3 = 24$ cubic feet

Step2: Calculate volume of middle prism

First find length: $8 - 1 = 7$ ft.
Volume = $7 \times 2 \times 1 = 14$ cubic feet

Step3: Calculate volume of bottom prism

First find length: $7 - 4 = 3$ ft.
Volume = $3 \times 1 \times 3 = 9$ cubic feet

Step4: Sum all prism volumes

Total Volume = $24 + 14 + 9$

Answer:

47 cubic feet