SOLUTION: The volume of a square based pyramid is 250cm3. If the height is 10cm, what are the dimensions of the base?

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Question 822487: The volume of a square based pyramid is 250cm3. If the height is 10cm, what are the dimensions of the base?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

The volume of a square based pyramid is 250cm3. 

If the height is 10cm, what are the dimensions of the base?



  %281%2F3%29b%5BA%5Dh++=+V

  %2810%2F3%29b%5BA%5D+=+250+cm%5E3

        area of the base = (3/10)(250cm^3) = 75cm^2

 square based pyramid: s^2 = 75cm^2, 

                       s = sqrt(75cm^2) = 5sqrt(3)cm   \Using positive root for unit measure

dimensions are:    5sqrt(3)cm   by   5sqrt(3)cm