Answer:
[tex]\large\boxed{V=180\ cm^3}[/tex]
Step-by-step explanation:
The formula of a volume of a pyramid:
[tex]V=\dfrac{1}{3}A_BH[/tex]
[tex]A_B-area\ of\ a\ base\\H-height[/tex]
In the base we have the right teingle with legs 5cm and 12cm.
The formula of an area of a right triangle:
[tex]A=\dfrac{1}{2}(leg)(leg)[/tex]
Substitute:
[tex]A_B=\dfrac{1}{2}(5)(12)=(5)(6)=30\ cm^2[/tex]
The height of a pyramid H = 18 cm. Substitute:
[tex]V=\dfrac{1}{3}(30)(18)=(10)(18)=180\ cm^3[/tex]
