To solve this problem, we need to find the height of the rectangular prism.
Given:
Base area of rectangular prism = 15 cm^2
Volume of pyramid with congruent base and height = 20 cm^3
Let the height of the rectangular prism be h cm.
Since the base of the pyramid is congruent to the base of the rectangular prism, the area of the base of the pyramid is also 15 cm^2.
The volume of the pyramid can be calculated using the formula: Volume = (1/3) * Base Area * Height
Substitute the values:
20 cm^3 = (1/3) * 15 cm^2 * h
Simplify the equation:
60 = 15h
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 cm2 , and pyramid with a congruent base and height has a volume of 20 cm3 . What is the height of the rectangular prism?(1 point) Responses 20 cm 20 cm 43 cm Start Fraction 4 over 3 End Fraction cm 4 cm 4 cm 5 cm
1 answer