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 block

Volume formula: $V = l \times w \times h$
$V_1 = 8 \times 1 \times 3 = 24$ cubic feet

Step2: Calculate volume of middle block

First find length: $8 - 1 - 1 = 6$ ft
$V_2 = 6 \times 2 \times 1 = 12$ cubic feet

Step3: Calculate volume of bottom block

First find length: $8 - 4 = 4$ ft
$V_3 = 4 \times 3 \times 1 = 12$ cubic feet

Step4: Sum all volumes

$V_{total} = V_1 + V_2 + V_3$
$V_{total} = 24 + 12 + 12$

Answer:

48 cubic feet