Determine the amount of stone needed to build one of the pyramids with a height of 145m and a square base with a side length of 230m? find the volume.

Respuesta :

Answer:

The volume is [tex]2556657m^{2}[/tex]

Step-by-step explanation:

This problem brothers on the mensuration of solid shapes, a square based pyramid.

Given data

Volume v =  ?

length of base a=  230m

Height h=   145m

Since we are required to solve for the volume of a square based pyramid, the expression for he volume is

[tex]v= a^{2} *\frac{h}{3}[/tex]

Substituting our data into the formula we have

[tex]volume= 230^{2}*\frac{145}{3}[/tex]

[tex]volume= 52900*48.33\\volume= 2556657m^{2}[/tex]

Hence the volume of the stones needed is is [tex]2556657m^{2}[/tex]

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