The stones used to build the great pyramid were limestone blocks with an average volume of 1. 5 cubic yards. Assuming a solid pyramid, how many of these blocks were needed to construct the great pyramid?.

Respuesta :

It would require 2257920 blocks to construct the great pyramid.

Given,

Side of  base of pyramid = 756 ft = [tex]\frac{756}{3}[/tex] = 252 yard

height of pyramid = 480 ft = [tex]\frac{480}{3}[/tex] = 160 yard

volume of 1 block which is used to construct pyramid = 1.5 cubic yard

Volume of pyramid can be determined by formula,

[tex]Volume\ of\ pyramid\ =\ \frac{1}{3}*area\ of\ base*height[/tex]

At first,

area of base=side x side = 252x252= 63504 square yard

now,

[tex]Volume\ of\ pyramid\ =\ \frac{1}{3}*area\ of\ base*height\\\\Volume\ of\ pyramid\ = \frac{1}{3}*63504*160\\\\Volume\ of\ pyramid\ = \frac{1}{3}*10160640\\\\Volume\ of\ pyramid\ = 3386880\ cubic\ yard[/tex]

Now, the number of blocks required to construct the pyramid will be,

[tex]Number of blocks =\frac{3386880}{1.5}=2257920[/tex]

Thus, the number of blocks required to construct the great pyramid is 2257920.

To learn more about measurements refer here

https://brainly.com/question/17615619

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