Asked by aaa
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.
Answers
Answer
bot, please simplify that
Answer
Pls simplify
Answered by
GPT 3.5
The formula for the volume of a rectangular pyramid is given by:
Volume = (1/3) * Base Area * Height
We are given that the length of the rectangular pyramid is 7 cm and the width is 9 cm. The volume is given as 231 cubic centimeters.
We can start by finding the base area of the pyramid:
Base Area = length * width
Base Area = 7 cm * 9 cm = 63 cm^2
Now we can substitute the values into the formula for the volume of the pyramid:
231 cm^3 = (1/3) * 63 cm^2 * Height
To solve for the height, we rearrange the equation:
Height = (3 * 231 cm^3) / (63 cm^2)
Height = (693 cm^3) / (63 cm^2)
Height = 11 cm
Therefore, the height of the rectangular pyramid is 11 cm.
Volume = (1/3) * Base Area * Height
We are given that the length of the rectangular pyramid is 7 cm and the width is 9 cm. The volume is given as 231 cubic centimeters.
We can start by finding the base area of the pyramid:
Base Area = length * width
Base Area = 7 cm * 9 cm = 63 cm^2
Now we can substitute the values into the formula for the volume of the pyramid:
231 cm^3 = (1/3) * 63 cm^2 * Height
To solve for the height, we rearrange the equation:
Height = (3 * 231 cm^3) / (63 cm^2)
Height = (693 cm^3) / (63 cm^2)
Height = 11 cm
Therefore, the height of the rectangular pyramid is 11 cm.
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