Question

52

Find the volume of the figure
(2 Points)
24 ft
9 ft
15 ft
12 ft
10 ft

Answer 1

Answer: the volume of the figure is 792 ft³

Explanation:

The volume of a shape V consists of the volume of a prism V1 and

the volume of the pyramid V2

9²+12²=15²

81+144=225

225≡225

Hence, figure base is а right triangle

So, V=V1+V2

`\displaystyle\\V1=(12*9)/(2) *10\\\\V1=6(9)(10)\\\\V1=540\ ft^3\\`

`\displaystyle\\V2=(1)/(3)((12*9)/(2) )(24-10) \\\\V2=(12(9)(14))/(6) \\\\V2=252\ ft^3`

`V=540+252\\\\V=792\ ft^3`

Answer 2

I think it is 558 cubic feet