Rectangular prism has base area of 15 cm squared and pyramid with congruent bases and height. Volume of pyramid is 20 cm cubed what is the volume of the prism

Answer 1

To find the volume of the prism, we first need to find the height of the pyramid which is the same as the height of the prism.

The volume of a pyramid is given by the formula V = (1/3) * Base Area * Height. We are given that the volume of the pyramid is 20 cm^3 and the base area is 15 cm^2.

So, 20 = (1/3) * 15 * Height
=> 20 = 5 * Height
=> Height = 4 cm

Now, we can find the volume of the prism using the formula V = Base Area * Height.
V = 15 * 4 = 60 cm^3

Therefore, the volume of the prism is 60 cm^3.