The volume of a pyramid is calculated using the formula V = (1/3) * base area * height.
Given that the volume of the pyramid is 10 cm^3 and the base area and height are the same for both the pyramid and the rectangular prism, we can set up the equation:
(1/3) * base area * height = 10
Since the base area and height of the pyramid are congruent, let's call the base area and height of the rectangle "x". Therefore, the volume of the rectangular prism can be calculated as:
x * x * x = 10
x^3 = 10
x = ∛10 ≈ 2.154
Therefore, the volume of the rectangular prism with congruent base and height to the pyramid is approximately 2.154 * 2.154 * 2.154 = 10 cm^3.
Every single pyramid has a volume of 10 cm. What is the volume of a rectangular prism given it has a congruent base and height to the pyramid
1 answer