The volume of a rectangular prism is given by the formula V = base area x height. In this case, the volume of the prism is unknown, the base area is 15 cm², and the height is also unknown.
The volume of the pyramid with a congruent base and height can be calculated as V = (1/3) x base area x height. In this case, the volume of the pyramid is 20 cm³, the base area is 15 cm², and the height is also unknown.
Since the base area and height of the prism and pyramid are the same, we can set up the equation:
15h = 20(3) (since the volume of a pyramid is 1/3 the volume of a prism)
15h = 60
h = 60/15
h = 4 cm
Therefore, the height of the rectangular prism is 4 cm.
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)
• 20 cm
0 4cm
0 5 cm
0 ‡ cm
1 answer