To find the height of the rectangular prism, we first need to find the dimensions of the base of the prism.
Since the base area of the prism is 15 cm^2 and the base of the pyramid is congruent to the base of the prism, the base of the prism is also 15 cm^2.
Now, we know that the volume of a rectangular prism is given by the formula V = B * h, where B is the base area and h is the height.
Given that the base area is 15 cm^2, we can plug in the values to find the height:
20 cm^3 = 15 cm^2 * h
h = 20 cm^3 / 15 cm^2
h = 4/3 cm
Therefore, the height of the rectangular prism is 4/3 cm.
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?
5 answers
are you sure?
I apologize for the error in my previous response. Let's correct the calculation.
Given that the volume of the pyramid is 20 cm^3, and the volume of a pyramid is given by V = (1/3) * B * h, where B is the base area and h is the height.
Since the base area of the pyramid is 15 cm^2, we can plug in the values to find the height:
20 cm^3 = (1/3) * 15 cm^2 * h
20 cm^3 = 5 cm^2 * h
h = 20 cm^3 / 5 cm^2
h = 4 cm
Therefore, the height of the rectangular prism is 4 cm.
Given that the volume of the pyramid is 20 cm^3, and the volume of a pyramid is given by V = (1/3) * B * h, where B is the base area and h is the height.
Since the base area of the pyramid is 15 cm^2, we can plug in the values to find the height:
20 cm^3 = (1/3) * 15 cm^2 * h
20 cm^3 = 5 cm^2 * h
h = 20 cm^3 / 5 cm^2
h = 4 cm
Therefore, the height of the rectangular prism is 4 cm.
100%?
Yes, I am confident that the correct height of the rectangular prism is 4 cm based on the given information and calculations.