The base of a rectangular prism has dimensions (x)cm by (2x) cm and a height of (x + 2) cm. If the total surface area is 63cm squared, find the value of x and the dimensions of the rectangular prism....

Answer 1

add up the pairs of faces
2(x(2x) + x(x+2) + 2x(x+2)) = 63

solve for x.

You sure you don't have a typo? Since there are two of each face, I'd expect the area to be an even number, like 64, rather than 63.

Answer 2

If the question had the dimensions are whole numbers.
How about x = appr 1.98 ?

http://www.wolframalpha.com/input/?i=2(x(2x)+%2B+x(x%2B2)+%2B+2x(x%2B2))+%3D+63