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 4/3 cm Start Fraction 4 over 3 End Fraction cm 20 cm 20 cm 5 cm
To find the height of the rectangular prism, we need to first find the height of the pyramid and then use that information to calculate the height of the rectangular prism.
The volume of a pyramid is given by the formula: V = (1/3) * base area * height
Given that the volume of the pyramid is 20 cm3 and the base area is 15 cm2, we can plug these values into the formula to find the height of the pyramid:
20 = (1/3) * 15 * height
20 = 5 * height
height = 20 / 5
height = 4 cm
Now that we have found the height of the pyramid, we can use this information to find the height of the rectangular prism.
Since the height of the rectangular prism is the same as the height of the pyramid, the height of the rectangular prism is also 4 cm.
Answer: 4 cm