Question

A rectangular pyramid has a volume of 10 cm3 . What is the volume of a rectangular prism given it has a congruent base and height to the pyramid?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a rectangular prism with a congruent base and height to the pyramid can be found by multiplying the base area of the pyramid by the height of the pyramid. Since the volume of the pyramid is 10 cm^3, we can say that the base area times the height is equal to 10 cm^3.

Let's denote the base area of the pyramid as A and the height of the pyramid as h. Then we have:

A * h = 10

Since the base of the pyramid is congruent to the base of the rectangular prism, the base area of the pyramid is the same as the base area of the rectangular prism. Let's denote the height of the rectangular prism as x. Then the volume V of the rectangular prism is given by:

V = A * x

Substitute A * h = 10 into the above equation:

V = 10 * x

Thus, the volume of the rectangular prism is 10x cm^3.