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?
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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.
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.
that is incorrect, can you try again?
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?
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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?
can you help bot?
To find the height of the rectangular pyramid, we can use the formula for the volume of a rectangular prism:
Volume = Base Area * Height
In this case, the volume of the prism is given as 125 in^3, and the base area is given as 25 in^2. We can substitute these values into the formula to get:
125 = 25 * Height
Now we can solve for the height by dividing both sides of the equation by 25:
125 / 25 = Height
5 = Height
Therefore, the height of the rectangular pyramid is 5 inches.