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25 July, 04:15

2.) Zhang is finding the height of a square pyramid with a base side length of 9, a width of 9, and a volume of 162. What is his error? V=bwh

162=9^2 (h)

h=2

?

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  1. 25 July, 07:02
    0
    h = 6 units

    Zhang major error is that he did not express the formula for finding the volume of a square base pyramid properly well. The formula was suppose to be 1/3 * base area * height. He omitted the 1/3.

    Step-by-step explanation:

    The square base pyramid has a base length of 9 and width of 9. It is a square base pyramid so definitely the length of the base will be equal. The volume of the square base pyramid is given as 162.

    The formula for the volume of a square base pyramid is represented as follows.

    volume = 1/3Ah

    where

    A = base area

    h = height

    volume = 1/3Ah

    Base area = L²

    Base area = 9² = 81

    volume = 162 units²

    volume = 1/3 * 81 * h

    162 = 1/3 * 81 * h

    162 = 27h

    divide both sides by h

    h = 162/27

    h = 6 units

    He omitted the 1/3 for the formula of the volume of a square base pyramid.
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