A square pyramid has a volume of 196 cm^3. Determine the height of the pyramid if the edges of the base measures 7cm.
volume of a square pyramid = 1/3 * b^2 * h
http://math.about.com/od/formulas/ss/surfaceareavol_5.htm
find h.
I came up with 12.25 cm my answer s/b 12 cm what did I do wrong
To determine the height of the square pyramid, we can use the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
In this case, we know that the volume is 196 cm^3 and the base is a square with edges of 7 cm.
First, let's find the base area of the square base:
Area = side * side
Area = 7 cm * 7 cm
Area = 49 cm^2
Now, we can plug the values into the formula and solve for the height:
196 cm^3 = (1/3) * 49 cm^2 * height
To isolate the height, we can multiply both sides of the equation by 3 and divide by 49:
196 cm^3 * 3 = 49 cm^2 * height
588 cm^3 = 49 cm^2 * height
Next, divide both sides of the equation by 49 cm^2 to solve for the height:
height = 588 cm^3 / 49 cm^2
height = 12 cm
Therefore, the height of the square pyramid is 12 cm.