A) A rectangular prism has a base area of
15 cm', and pyramid with a congruent base and height has a volume of
20 cm'
. What is the height of the rectangular prism? (1 point)
• 4 cm
• 5 cm
• 20 cm
• 3 cm
To find the height of the rectangular prism, we need to use the formula for the volume of a rectangular prism and the volume of a pyramid.
Volume of rectangular prism = base area x height
Volume of pyramid = (base area x height) / 3
Given:
Base area of prism = 15 cm^2
Volume of pyramid with congruent base = 20 cm^3
Let's denote the height of the rectangular prism as h.
Using the formulas above, we can set up the following equation:
15h = 20 (from volume of pyramid)
h = 20 / 15
h = 4 / 3
h = 1.33 cm
Since the options provided are whole numbers, the closest whole number to 1.33 cm is 3 cm. So, the height of the rectangular prism is 3 cm.
Therefore, the correct answer is:
• 3 cm