Simplify this paragraph: To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid which is given by:
Volume = (1/3) * base area * height
We are given the length and width of the pyramid, so we can find the base area using:
Base area = length * width
Base area = 7 cm * 9 cm
Base area = 63 cm^2
Now we can plug in the values into the formula to find the height:
231 cm^3 = (1/3) * 63 cm^2 * height
Multiplying both sides by 3 gives:
3 * 231 cm^3 = 63 cm^2 * height
693 cm^3 = 63 cm^2 * height
Dividing by 63 cm^2 gives:
height = 693 cm^3 / 63 cm^2
height = 11 cm
Therefore, the height of the pyramid is 11 cm
1 answer
To find the height of the rectangular pyramid, use the formula for its volume: Volume = (1/3) * base area * height. Given the length and width of the pyramid, the base area is calculated by multiplying the length and width together. The base area is 63 cm^2. By substituting the values into the formula, the equation becomes 231 cm^3 = (1/3) * 63 cm^2 * height. Multiply both sides by 3 to eliminate the fraction and the equation becomes 3 * 231 cm^3 = 63 cm^2 * height. Simplifying further, this becomes 693 cm^3 = 63 cm^2 * height. Divide both sides by 63 cm^2 to isolate the height, resulting in height = 693 cm^3 / 63 cm^2. Simplify this fraction to find the height is 11 cm. Thus, the height of the pyramid is 11 cm.
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