Answer:
[tex]\large\boxed{V=2520\ cm^3[/tex]
Step-by-step explanation:
The formula of a volume of a prism:
[tex]V=BH[/tex]
B - base area
H - height
In the base we have the right triangle.
The formula of an area of a right triangle:
[tex]A=\dfrac{ab}{2}[/tex]
a, b - legs
We have a = 7cm, b = 24cm.
Substitute:
[tex]B=\dfrac{(7)(24)}{2}=(7)(12)=84\ cm^2[/tex]
Put the values of B = 84cm² and H = 30cm to the formula of a volume of a prism:
[tex]V=(84)(30)=2520\ cm^3[/tex]
