SOLUTION: an open box with a square base is to be constructed from 84 square inches of material. what should be the dimensions of the base if the height of the box is to be 2 inches? (Surfac

Algebra ->  Surface-area -> SOLUTION: an open box with a square base is to be constructed from 84 square inches of material. what should be the dimensions of the base if the height of the box is to be 2 inches? (Surfac      Log On


   

Question 329673: an open box with a square base is to be constructed from 84 square inches of material. what should be the dimensions of the base if the height of the box is to be 2 inches? (Surface area: S=x^2+4xh)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

An open box with a square base is to be constructed from 84 square inches of
material. what should be the dimensions of the base if the height of the box is
to be 2 inches? (Surface area: S=x^2+4xh)

Substitute 2 for h, and 84 for S and solve for x.

You will get x=6 and x=-14.  Ignore the negative answer.

The dimensions of the base are 6 inches by 6 inches.

Each of the 4 sides are 6x2 or 12 square inches each.  That's 48 square inches.
The base is 6x6 or 36 square inches.  So that's 48 + 36 = 84 square inches.

Edwin