Answer:
288 ft³
Step-by-step explanation:
The formula of a volume of a prism:
[tex]V=BH[/tex]
where
B - area of a base
H - height of a prism
In the base we have the right treiangle. The formula of an area of a right triangle is:
[tex]A=\dfrac{ab}{2}[/tex]
where
a, b - are legs
We have
[tex]a=6\ ft,\ b=8\ ft[/tex]
Substitute:
[tex]B=\dfrac{(6)(8)}{2}=\dfrac{48}{2}=24\ ft^2[/tex]
Calculate the volume.
Substitute
[tex]B=24\ ft^2,\ H=12\ ft[/tex]
[tex]V=(24)(12)=288\ ft^3[/tex]
