A box can be formed by cutting squares out of each corner of a piece of tin and folding the​ "tabs" up. Suppose the piece of tin is 38 inches by 38 inches and each side of the square that is cut out has length x.

Question

Complete parts ​(a) through ​(e).
38
38
38
38
x
x
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Part 1
​(a) Write an expression for the height of the box that is constructed.
The height of the box is
  
enter your response here inches.

Answer 1

To construct the box, squares of side length \( x \) are cut out from each corner of the tin. When these tabs are folded up, the height of the box will be equal to the length of the side of the square that was cut out.

Therefore, the height of the box is:

\[ \text{Height} = x \text{ inches} \]

So, the answer is:

The height of the box is \( x \) inches.