The formula for the volume of a pyramid is:
Volume = 1/3 * base area * height
In this case, the base area is the area of the rectangular base, which is length * width. So, the base area is:
Base Area = 7 cm * 9 cm = 63 cm^2
We are given that the volume is 231 cubic centimeters. Plugging in the given values into the formula, we have:
231 cm^3 = 1/3 * 63 cm^2 * height
Multiplying both sides of the equation by 3 to get rid of the fraction, we have:
231 cm^3 * 3 = 63 cm^2 * height
693 cm^3 = 63 cm^2 * height
Dividing both sides of the equation by 63 cm^2, we have:
693 cm^3 / 63 cm^2 = height
Simplifying the equation, we have:
11 cm = height
Therefore, the height of the pyramid is 11 cm.
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 you shorten your response?
To find the height of the pyramid, we can use the formula for the volume of a pyramid:
Volume = 1/3 * base area * height
Given that the length is 7 cm and the width is 9 cm, the base area is 7 cm * 9 cm = 63 cm^2.
We are also given that the volume is 231 cm^3.
Plugging in these values into the formula, we have:
231 cm^3 = 1/3 * 63 cm^2 * height
Simplifying the equation, we find:
height = 11 cm
Therefore, the height of the pyramid is 11 cm.
Volume = 1/3 * base area * height
Given that the length is 7 cm and the width is 9 cm, the base area is 7 cm * 9 cm = 63 cm^2.
We are also given that the volume is 231 cm^3.
Plugging in these values into the formula, we have:
231 cm^3 = 1/3 * 63 cm^2 * height
Simplifying the equation, we find:
height = 11 cm
Therefore, the height of the pyramid is 11 cm.
Even smaller?
The rectangular pyramid has a height of 11 cm.
1 answer