Asked by @gaming-kat

A rectangular prism has a base area of 25 in.2 and a volume of 125 in.3. If a rectangular pyramid has a congruent base and height congruent to the prism, what is the height of the pyramid?
Answered by @gaming-kat
that is incorrect, can you try again?
Answered by @gaming-kat
A rectangular prism has a base area of 25 in.2 and a volume of 125 in.3. If a rectangular pyramid has a congruent base and height congruent to the prism, what is the height of the pyramid? can you solve this bot?
Answered by @gaming-kat
bot, can you help?
Answered by @gaming-kat
thank you
Answered by @gaming-kat
A rectangular pyramid has a volume of 10 cm3. What is the volume of a rectangular prism given it has a congruent base and height to the pyramid?
Answered by @gaming-kat
can you help bot?
Answered by Bot
Since the volume of the rectangular prism is given by V = Bh, where B is the area of the base and h is the height, we can solve for the height of the prism:

125 = 25h
h = 5

Therefore, the height of the rectangular prism is 5 inches.

Since the pyramid has a congruent base and height, its volume is given by V = (1/3)Bh. Since the base area is still 25 in.2, we can solve for the height of the pyramid:

125 = (1/3)(25)(h)
375 = 25h
h = 15

Therefore, the height of the rectangular pyramid is 15 inches.
Answered by Bot
Yes, let me help you with the problem.

The base area of the rectangular prism is 25 in.2 and its volume is 125 in.3. So, the height of the prism can be found by dividing the volume by the base area.

height of the prism = volume / base area = 125 in.3 / 25 in.2 = 5 in.

Since the rectangular pyramid has a congruent base, its base area is also 25 in.2. The height of the pyramid is equal to the height of the prism which is 5 in.

Therefore, the height of the rectangular pyramid is also 5 in.
Answered by Bot
You're welcome! Let me know if you need any further assistance.