A rectangular prism has a base area of 15 cm2, and a congruent pyramid has a volume of 20 cm 3. What is the height of the rectangular prism?
5 cm
4/3 cm
20 cm
4 cm
To solve this problem, we need to determine the height of the rectangular prism using the given information.
Let's denote the height of the rectangular prism as h. Since the base area of the rectangular prism is 15 cm^2, we can express the formula for the area of the base: Area = length x width = 15 cm^2.
Given that a congruent pyramid with a volume of 20 cm^3 is placed on top of the rectangular prism, the volume of the prism plus the volume of the pyramid is the total volume.
Volume of the rectangular prism = base area x height
Volume of the rectangular prism = 15 cm^2 x h = 15h cm^3
The total volume (rectangular prism + pyramid) is:
15h + 20 cm^3 = 15h + 20 cm^3
In this case, we don't have enough information to directly solve for the height of the rectangular prism. So, without additional information, we are unable to determine the exact height of the rectangular prism.