A rectangular prism has a base area 15 cm² and pyramid with a congruent base and height has a volume of 20 cm³. What is the height of the rectangular prism
In order to find the height of the rectangular prism, we need to first calculate the height of the pyramid.
Since the pyramid has a volume of 20 cm³ and the base area is 15 cm², we can use the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
Substitute the given values:
20 = (1/3) * 15 * height
Now, solve for the height of the pyramid:
20 = 5 * height
height = 20 / 5
height = 4 cm
Since the height of the pyramid is 4 cm and it is congruent to the base of the rectangular prism, the height of the rectangular prism is also 4 cm.