42 cubic inches.
To find this, we can use the formula for the volume of a pyramid, which is given by V = (1/3) * base area * height.
Given that the volume of the first pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches, we can write this as:
24 = (1/3) * 24 * 3
Solving for the constant of proportionality, we find that (1/3) * 24 = 8.
Now, we can calculate the volume of the second pyramid with a base area of 15 square inches and a height of 7 inches:
V = 8 * 15 * 7 = 42 cubic inches.
Therefore, the volume of the second pyramid is 42 cubic inches.
The volume of a pyramid varies jointly with the base area of the pyramid and its height. The volume of one pyramid is 24 cubic inches when its base area is 24 square inches and its height is 3 inches. What is the volume of a pyramid with a base area of 15 square inches and a height of 7 inches?
The volume of the pyramid is blank cubic inches.
The solution is
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