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 43 cm Start Fraction 4 over 3 End Fraction cm 4 cm 4 cm 20 cm 20 cm 5 cm
To find the height of the rectangular prism, we need to first find the dimensions of the base of the pyramid.
Since the volume of the pyramid is 20 cm3 and the base area is 15 cm2, the height of the pyramid can be found using the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
20 = (1/3) * 15 * height
20 = 5 * height
height = 4 cm
Now that we know the height of the pyramid is 4 cm, we can infer that the height of the rectangular prism is also 4 cm.
Therefore, the correct answer is 4 cm.