A rectangular prism has a base area of 15 cm² pyramid with a congruent base in height has a volume of 20 cm³ what is the height of the rectangular prism
To find the height of the rectangular prism, we first need to determine the dimensions of the base of the pyramid. Since the base area of the prism is 15 cm², we can assume the base of the pyramid is a square with side length of s cm. Therefore, s² = 15 cm², which means s = √15 cm.
Since the volume of the pyramid is 20 cm³, we can use the formula for the volume of a pyramid to find the height of the pyramid:
Volume = (1/3) * base area * height
20 cm³ = (1/3) * 15 cm² * h
20 cm³ = 5h
h = 4 cm
Since the base of the pyramid is congruent to the base of the rectangular prism, the height of the rectangular prism is also 4 cm.