SOLUTION: one cake is a rectangular with a length of 14 inches,a width of 9 inches, and a height of 3 inches. the other is a round cake with radius of 5 inches and a height of 4 inches. whic

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: one cake is a rectangular with a length of 14 inches,a width of 9 inches, and a height of 3 inches. the other is a round cake with radius of 5 inches and a height of 4 inches. whic      Log On


   



Question 766528: one cake is a rectangular with a length of 14 inches,a width of 9 inches, and a height of 3 inches. the other is a round cake with radius of 5 inches and a height of 4 inches. which cake do you prefer to buy if they coast the same price? why?

Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
one cake is a rectangular with a length of 14 inches,a width of 9 inches, and a height of 3 inches. the other is a round cake with radius of 5 inches and a height of 4 inches. which cake do you prefer to buy if they cost the same price? why?

Ans:
For the same price, you would obviously like to get *more* cake, right?
So let us find out the volumes of both the cakes.

Volume of 1st cake - rectangular = length * width * height 
= 14%2A9%2A3+=+378+cubic+inches

Volume of 2nd cake - cylindrical = base area * height
= pi+%2A+radius%5E2+%2A+height+=+pi+%2A+5%5E2+%2A+4+=+314+cubic+inches

Clearly the first cake is bigger and a better buy, for the same cost.

Hope you got it :)