if given a pyramid has a volume of 36.8 cubic centimeters (cm3) and the area of the base is 13.8 squared centimeters (cm2), what is the height of the pyramid?
To find the height of the pyramid, we can use the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
Given:
Volume = 36.8 cm3
Base area = 13.8 cm2
Substitute the given values into the formula:
36.8 = (1/3) * 13.8 * height
Now, solve for the height:
36.8 = 4.6 * height
height = 36.8 / 4.6
height = 8
Therefore, the height of the pyramid is 8 cm.