Question
A rectangular prism has a base area of 25 in.² and a volume of 125 inches with a tiny three if a rectangular period has a congruent base and a height, congruent to a prism what is the height of the pyramid?
Answers
GPT 3.5
First, we need to find the side length of the base of the prism. Since the base area is 25 in², the side length of the base is the square root of 25, which is 5 inches.
Next, we need to find the height of the prism. Since the volume of the prism is 125 in³ and the base area is 25 in², the height of the prism can be calculated by dividing the volume by the base area:
Height = Volume / Base Area
Height = 125 in³ / 25 in²
Height = 5 inches
Since the pyramid has a congruent base and congruent height to the prism, the height of the pyramid is also 5 inches.
Next, we need to find the height of the prism. Since the volume of the prism is 125 in³ and the base area is 25 in², the height of the prism can be calculated by dividing the volume by the base area:
Height = Volume / Base Area
Height = 125 in³ / 25 in²
Height = 5 inches
Since the pyramid has a congruent base and congruent height to the prism, the height of the pyramid is also 5 inches.