A rectangular prism has a base area of 15 cm2 , and pyramid with a congruent base and height has a volume of 20 cm3 . What is the height of the rectangular prism?(1 point) Responses 4 cm 4 cm 20 cm 20 cm 4/3 cm Start Fraction 4 over 3 End Fraction cm 5 cm
To find the height of the rectangular prism, we need to find the height of the pyramid first.
The formula for the volume of a pyramid is given as V = (1/3) * base area * height.
We are given that the volume of the pyramid is 20 cm^3, the base area is 15 cm^2, and the height is h.
Substitute these values into the formula:
20 = (1/3) * 15 * h
20 = 5h
h = 4 cm
Now, since the height of the prism is the same as the height of the pyramid, the height of the rectangular prism is 4 cm.
Therefore, the correct answer is:
4 cm