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A pyramid with a square base has a volume of 120 cubic meters and a height of 10 meters. what is a side length of the base?

Sagot :

Anijlinidn
volume of a pyramid = length x width x height 
                                                3

because a square has the same length and width, length = width = side 

volume of a pyramid = side x side x height
                                           3

volume of a pyramid = side² x height
                                          3

We know the volume of the pyramid is 120 cubic meters, and the height is 10 meters, so: 

120 = side² x 10
              3

multiply both sides by 3

360 = side² x 10

divide both sides by 10 

36 = side²

square root both sides

6 = side

A side length of the base is 6 meters.
Konrad509idn
[tex]V=120\\ h=10\\ a=?\\\\ V=\dfrac{1}{3}a^2h\\ 120=\dfrac{1}{3}a^2\cdot10\\ a^2=36\\ a=6[/tex]
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