Question

find the volume of the composite figure below measured in ft.
3 ft
4 ft
12 ft
a
7 ft
2 ft
5 ft
b
6 ft
3 ft

Explanation:

Step1: Calculate volume of part A

The volume formula for a rectangular - prism is $V = l\times w\times h$. For part A, $l = 6$ ft, $w = 3$ ft, $h = 12$ ft. So $V_A=6\times3\times12 = 216$ $ft^3$.

Step2: Calculate volume of part B

For part B, $l = 3$ ft, $w = 2$ ft, $h = 5$ ft. Using the volume formula $V = l\times w\times h$, we get $V_B = 3\times2\times5=30$ $ft^3$.

Step3: Calculate volume of part C

For part C, $l = 4$ ft, $w = 2$ ft, $h = 7$ ft. Using the volume formula $V = l\times w\times h$, we get $V_C=4\times2\times7 = 56$ $ft^3$.

Step4: Calculate total volume

The volume of the composite figure $V = V_A+V_B + V_C$. So $V=216 + 30+56=302$ $ft^3$.

Answer:

$302$ $ft^3$