The volume of a pyramid is given by the formula 

V = Bh3,

 where B is the area of its base and h is its height. The volume of a pyramid is 84 cubic centimeters. Its height is 9 centimeters, and one side of its rectangular base is 3 centimeters shorter than the other. Find the dimensions of its base.

Respuesta :

first I would start plugging the values into the volume equation for a pyramid. 
[tex] 84 =\frac{B (9)}{3} [/tex]
then I would multiply both sides of the equation by 3 to get rid of the dividing 
[tex]B(9) = 252[/tex]
then I divide both dies by 9 to solve for B
[tex] \frac{B(9)}{9} = \frac{252}{9} \\ B = 28[/tex]
Then I would just find combination s of numbers that when multiplied equal 28, I would just find all of the pairs then rule out the ones that dont have a difference of 3, the one(s) left should be your base dimensions. 

I did this and got 4 and 7