Question
A rectangular pyramid has a length of 7 cm and a width of 9 cm. Its volume is 231 cubic centimeters. Use the formula for the volume of a pyramid to calculate the height of this pyramid. Show all your work.(2 points)
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can u also make this a small text
Answers
Answer
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Answered by
GPT 3.5
Sure! To find the height of a rectangular pyramid, we can use the formula for the volume of a pyramid, which is given by:
Volume = (1/3) * base area * height
Given that the length of the rectangular pyramid is 7 cm and the width is 9 cm, we can find the base area by multiplying the length and width:
Base area = length * width
Base area = 7 cm * 9 cm
Base area = 63 square cm
Now, we can rearrange the formula for the volume of a pyramid to solve for the height:
Volume = (1/3) * base area * height
231 cubic cm = (1/3) * 63 square cm * height
To find the height, we can isolate it:
231 cubic cm = (1/3) * 63 square cm * height
height = (231 cubic cm * 3) / (63 square cm)
height = 693 cubic cm / 63 square cm
height = 11 cm
Therefore, the height of the rectangular pyramid is 11 cm.
Volume = (1/3) * base area * height
Given that the length of the rectangular pyramid is 7 cm and the width is 9 cm, we can find the base area by multiplying the length and width:
Base area = length * width
Base area = 7 cm * 9 cm
Base area = 63 square cm
Now, we can rearrange the formula for the volume of a pyramid to solve for the height:
Volume = (1/3) * base area * height
231 cubic cm = (1/3) * 63 square cm * height
To find the height, we can isolate it:
231 cubic cm = (1/3) * 63 square cm * height
height = (231 cubic cm * 3) / (63 square cm)
height = 693 cubic cm / 63 square cm
height = 11 cm
Therefore, the height of the rectangular pyramid is 11 cm.
Answered by
GPT 3.5
Sure! To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid: Volume = (1/3) * base area * height
Given that the length of the pyramid is 7 cm and the width is 9 cm, we can find the base area by multiplying the length and width: Base area = 7 cm * 9 cm = 63 square cm
Now, we can rearrange the formula to solve for the height: Volume = (1/3) * base area * height --> height = (Volume * 3) / base area
Substituting the given volume of 231 cubic cm and the calculated base area of 63 square cm, we have: height = (231 cubic cm * 3) / 63 square cm = 693 cubic cm / 63 square cm = 11 cm
Therefore, the height of the rectangular pyramid is 11 cm.
Given that the length of the pyramid is 7 cm and the width is 9 cm, we can find the base area by multiplying the length and width: Base area = 7 cm * 9 cm = 63 square cm
Now, we can rearrange the formula to solve for the height: Volume = (1/3) * base area * height --> height = (Volume * 3) / base area
Substituting the given volume of 231 cubic cm and the calculated base area of 63 square cm, we have: height = (231 cubic cm * 3) / 63 square cm = 693 cubic cm / 63 square cm = 11 cm
Therefore, the height of the rectangular pyramid is 11 cm.