Question
The dimension of a rectangular prism are all positive integers. The volume of the prism is 2002 cubic cm. Find the minimum possible sum in cm of the length width and height.
Answers
MathMate
Factorize 2002 to get
2002=2*7*11*13
The three dimensions of the prism must be either one of the above factors, or a product of two of the factors, such as 14*11*13, or
22*7*13, or
2*77*13, etc
Can you find the dimensions which give the minimum sum?
2002=2*7*11*13
The three dimensions of the prism must be either one of the above factors, or a product of two of the factors, such as 14*11*13, or
22*7*13, or
2*77*13, etc
Can you find the dimensions which give the minimum sum?