Use the volume formula to determine the length of the base of a pyramid that has a volume of 585 cm3 , a width of 15 cm, and an altitude of 9 cm.(1 point)
Responses
135 cm
135 cm
13 cm
13 cm
4.3 cm
4.3 cm
405 com
The correct answer is 13 cm.
The volume formula for a pyramid is V = (1/3) * (base area) * height.
In this case, we are given the volume V = 585 cm^3 and the height (altitude) h = 9 cm.
Using the formula, we can rearrange it to solve for the base area:
base area = (3 * V) / h = (3 * 585 cm^3) / 9 cm = 195 cm^2
Since the base of the pyramid is rectangular in shape, we can calculate the length of the base by dividing the base area by the width:
length of base = base area / width = 195 cm^2 / 15 cm = 13 cm
Therefore, the length of the base of the pyramid is 13 cm.