Find the volume of material used to construct the Red Pyramid in Cairo, given that it has a height of 105 m, a base length of

Question

Find the volume of material used to
construct the Red Pyramid in Cairo,
given that it has a height of 105 m, a
base length of 220 m, and is estimated
to be 96% solid.​

in progress 0
Ayla 3 weeks 2021-10-04T15:18:36+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-04T15:20:05+00:00

    Given:

    The material used to  construct the Red Pyramid in Cairo,  given that it has a height of 105 m, a base length of 220 m, and is estimated  to be 96% solid.

    To find:

    The volume of material used to  construct the Red Pyramid in Cairo

    Solution:

    The height of the Red Pyramid, h = 105 m

    The base length of the Red Pyramid, b = 220 m

    The percentage of the solid material used = 96%

    Here the Red Pyramid is a square-based pyramid, so the formula to find the volume of the square-based pyramid is as follows:

    \boxed{\bold{Volume \:of \:a\:square\: pyramid= \frac{1}{3} \times (Area \:of \:base) \times  Height}}

    Now, substituting the given values in the formula above, we get

    The volume of the material used to construct the Red Pyramid is,

    = 96% of [The volume of a square pyramid]

    = 96% × \frac{1}{3} \times (b)^2 \times h

    = \frac{96}{100} \times \frac{1}{3} \times (220)^2 \times  105

    = 0.96 \times \frac{1}{3} \times 48400 \times  105

    = 0.96 \times 48400 \times  35

    = \bold{1626240\:m^3}

    Thus, the volume of material used to construct the Red pyramid in Cairo is 1626240 m³.

    ——————————————————————————

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