The volume of a square-based pyramid is 588 cubic inches. The height of this pyramid is 9 inches. What is the area of the base of this pyramid?
some one help me
196 sq in
To find the area of the base of the pyramid, we need to divide the volume of the pyramid by the square of the height.
The formula for the volume of a square-based pyramid is given by V = (A * h) / 3, where V is the volume, A is the area of the base, and h is the height.
We are given that the volume of the pyramid is 588 cubic inches and the height is 9 inches. Plugging these values into the formula, we have:
588 = (A * 9) / 3
We can simplify this equation by multiplying both sides by 3:
1764 = 9A
Now, we can solve for A by dividing both sides by 9:
A = 1764 / 9
Dividing 1764 by 9, we find that:
A = 196
Therefore, the area of the base of the pyramid is 196 square inches.
V = 1/3 Bh
so
1/3 B*9 = 588
Now finish it off