Answer:
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3·B·h
where B represents the area of the base and h represents the height.
The area of a triangle is given by the formula ...
A = 1/2·b·h
where b represents the length of the base of the triangle, and h represents the height of the triangle.
For a right triangle, the base and height can be taken to be the lengths of the two legs. Then we have
A = 1/2·(15 cm)·(24 cm) = 180 cm²
The volume of the pyramid is then ...
V = 1/3·(180 cm²)(13 cm) = 780 cm³
The volume of the pyramid is 780 cm³.