Answer:
75 in³
Step-by-step explanation:
The formula of a volume of a pyramid:
[tex]V=\dfrac{1}{3}BH[/tex]
B - area of a base
H - height
In a base we have the right triangle with legs 9in and 5in.
The formula of an area of a right triangle:
[tex]A=\dfrac{ab}{2}[/tex]
ab - legs
Substitute:
[tex]B=\dfrac{(5)(9)}{2}=\dfrac{45}{2}\ in^2[/tex]
The height H = 10 in.
Calculate the volume:
[tex]V=\dfrac{1}{3\!\!\!\!\diagup_1}\left(\dfrac{45\!\!\!\!\!\diagup^{15}}{2\!\!\!\!\diagup_1}\right)(10\!\!\!\!\!\diagup^5)=(1)(15)(5)=75\ in^3[/tex]
