## 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

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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:

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

=

=

=

=

Thus,

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

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