A rectangular prism has a base area of 15 cm 2
*, and pyramid with a congruent base and height has a volume of 20 cm?. What is
the height of the rectangular prism? (1 point)
• 20 cm
• 4 cm
0 3 cm
• 5 cm
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To find the height of the rectangular prism, we need to first calculate the height of the pyramid using the given information.
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
Given that the base area of the pyramid is 15 cm^2 and the volume is 20 cm^3, we can plug in these values into the formula:
20 = (1/3) * 15 * height
20 = 5 * height
height = 20 / 5
height = 4 cm
Since the pyramid has the same base and height as the rectangular prism, the height of the rectangular prism is also 4 cm.
Therefore, the correct answer is:
• 4 cm