The volume of a pyramid can be calculated using a known formula.
V=1/3BhIn this formula B is the area of the base, and h is the height. Let's find the area of the base of the given pyramid. From the diagram we can see that the base is a right triangle with legs of lengths 5inches and 9inches. Recall that in the right triangle the area equals half of the product of the legs.
B=1/2( 5)( 9)
⇕
B=22.5 in.
The base of our pyramid is 22.5 inches. We are also given that the height is 10in. Let's substitute these values into the volume formula.