Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the volume of this figure? 5 ft. 2 ft. 5 ft. 4 ft. 6 ft. 3 ft. …

Question

what is the volume of this figure?
5 ft.
2 ft.
5 ft.
4 ft.
6 ft.
3 ft.
7 ft.
2 ft.
9 ft.
____ cubic feet
submit

Explanation:

Step1: Calculate volume of bottom prism

Volume formula: $V = l \times w \times h$
$$V_1 = 9 \times 7 \times 2 = 126$$

Step2: Calculate volume of middle prism

Use volume formula for prism
$$V_2 = 6 \times 4 \times 3 = 72$$

Step3: Calculate volume of top prism

Use volume formula for prism
$$V_3 = 5 \times 2 \times 5 = 50$$

Step4: Sum all three volumes

Add the three volume values
$$V_{total} = 126 + 72 + 50$$

Answer:

248 cubic feet