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
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Since the base and height of the rectangular prism are congruent to the rectangular pyramid, let's call the base and height of both shapes x.
For the rectangular pyramid:
V = (1/3) * x^2 * x = 10 cm^3
x^3 = 30
x = ∛30 ≈ 3.107 cm
Now, for the rectangular prism:
V = x * x * x = 3.107 * 3.107 * 3.107 ≈ 30 cm^3
Therefore, the volume of the rectangular prism is approximately 30 cm^3.