The volume of a rectangular pyramid is given by the formula V = (1/3)Bh, where B is the area of the base and h is the height. Since the pyramid has a volume of 10cm, we can write:
10cm = (1/3)Bh
Multiplying both sides by 3, we get:
30cm = Bh
Since the base and height of the pyramid are congruent, we know that the base is a square. Let's say the length of one side of the square base is x. We can then write:
B = x^2
Substituting this into the equation above, we get:
30cm = x^2h
To find the volume of a rectangular prism with a congruent base and height, we just need to multiply the area of the base (which is x^2) by the height (which is h). So the volume of the rectangular prism is:
V = x^2h
But from the equation we derived above, we know that x^2h = 30cm. So the volume of the rectangular prism is 30cm.
A rectangular Pyramid has a volume of 10cm. What is the volume of a rectangular prism given it has a congruent base and height to the Pyramid
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