The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.
If the base and height are congruent, the base area can be represented as x^2, where x is the length of a side of the base.
Given that the volume of the pyramid is 480 in^3, we have:
480 = (1/3) * x^2 * x
480 = (1/3) * x^3
Multiplying both sides by 3:
1440 = x^3
Taking the cube root of both sides:
x = 12
So, the length of a side of the base is 12 in.
The volume of the pyramid is:
V = (1/3) * 12^2 * 12
V = (1/3) * 144 * 12
V = 576 in^3
Therefore, the volume of the pyramid is 576 in^3.
A rectangular pyramid has the volume of 480 in ^3. If the base and height are congruent, what is the volume of the pyramid
1 answer
1 answer