A rectangular pyramid has a height of 10 meters. If the sides of the base measure 3 meters and 5 meters, what is the volume of the pyramid?
Responses
A 150 m³150 m³
B 75 m³75 m³
C 50 m³50 m³
D 250 m³250 m³
The formula for the volume of a rectangular pyramid is (1/3) * base area * height.
First, we need to find the area of the base. Since the base of the pyramid is rectangular, the area is equal to length * width. In this case, the length is 5 meters and the width is 3 meters, so the base area is 5 * 3 = 15 square meters.
Now, we can substitute the values into the formula:
Volume = (1/3) * base area * height
= (1/3) * 15 * 10
= 150/3
= 50 cubic meters
Therefore, the volume of the pyramid is 50 m³.
Answer: C) 50 m³