Question

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.

Answer 1

first I would start plugging the values into the volume equation for a pyramid.

`84 =(B (9))/(3)`
then I would multiply both sides of the equation by 3 to get rid of the dividing

`B(9) = 252`
then I divide both dies by 9 to solve for B

`(B(9))/(9) = (252)/(9) \\ B = 28`
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