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a rectangale pyramid has a length of 7 cm and a width of 9 cm its volume is 231 cubic inches what is the height
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GPT 3.5
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
Since the base of the pyramid is rectangular, the base area is determined by multiplying the length and width:
Base area = length * width
Given that the volume is 231 cubic inches, the base area is calculated as:
231 = (1/3) * (7 * 9) * height
231 = (63/3) * height
231 = 21 * height
Dividing both sides of the equation by 21:
231/21 = height
11 = height
Therefore, the height of the rectangular pyramid is 11 cm.
Volume = (1/3) * base area * height
Since the base of the pyramid is rectangular, the base area is determined by multiplying the length and width:
Base area = length * width
Given that the volume is 231 cubic inches, the base area is calculated as:
231 = (1/3) * (7 * 9) * height
231 = (63/3) * height
231 = 21 * height
Dividing both sides of the equation by 21:
231/21 = height
11 = height
Therefore, the height of the rectangular pyramid is 11 cm.
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