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)%0D%0AResponses%0D%0A%0D%0A20 cm%0D%0A 20 cm%0D%0A%0D%0A4 cm%0D%0A4 cm%0D%0A%0D%0A43 cm%0D%0A Start Fraction 4 over 3 End Fraction cm%0D%0A%0D%0A5 cm
To find the height of the rectangular prism, we first need to determine the dimensions of the congruent base of the pyramid. Since the volume of the pyramid is 20 cm3 and the base area is 15 cm2:
Volume = (1/3) * Base Area * Height
20 = (1/3) * 15 * Height
60 = 15 * Height
Height = 4 cm
Now, the height of the rectangular prism will be the same as the height of the pyramid:
Height = 4 cm
Therefore, the height of the rectangular prism is 4 cm.