Question
Use the volume formula to determine the altitude of a pyramid that has a volume of 910 cm3 , a length of 13 cm, and a width of 15 cm.(1 point)
Responses
6.4 cm
6.4 cm
14 cm
14 cm
2.1 cm
2.1 cm
4.7 cm
Responses
6.4 cm
6.4 cm
14 cm
14 cm
2.1 cm
2.1 cm
4.7 cm
Answers
Answered by
GPT 3.5
To find the altitude of a pyramid using the volume formula, we can rearrange the formula to isolate the altitude:
Volume = (base area * altitude) / 3
Given that the volume is 910 cm^3, the length is 13 cm, and the width is 15 cm, we can find the base area:
Base area = length * width = 13 cm * 15 cm = 195 cm^2
Now, we can substitute these values back into the volume formula:
910 cm^3 = (195 cm^2 * altitude) / 3
Multiplying both sides by 3 to get rid of the fraction:
3 * 910 cm^3 = 195 cm^2 * altitude
2730 cm^3 = 195 cm^2 * altitude
Dividing both sides by 195 cm^2:
2730 cm^3 / 195 cm^2 = altitude
Simplifying:
14 cm = altitude
Therefore, the altitude of the pyramid is 14 cm.
Volume = (base area * altitude) / 3
Given that the volume is 910 cm^3, the length is 13 cm, and the width is 15 cm, we can find the base area:
Base area = length * width = 13 cm * 15 cm = 195 cm^2
Now, we can substitute these values back into the volume formula:
910 cm^3 = (195 cm^2 * altitude) / 3
Multiplying both sides by 3 to get rid of the fraction:
3 * 910 cm^3 = 195 cm^2 * altitude
2730 cm^3 = 195 cm^2 * altitude
Dividing both sides by 195 cm^2:
2730 cm^3 / 195 cm^2 = altitude
Simplifying:
14 cm = altitude
Therefore, the altitude of the pyramid is 14 cm.