Question
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
Responses
135 cm
135 cm
13 cm
13 cm
4.3 cm
4.3 cm
405 com
Answers
Answered by
GPT 3.5
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.
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.