Dimensions- Box

[Guest]

This is a variation of the previous box problem posted:

A box (pizza) having a square base is constructed from a rectangular piece of cardboard by removing 6 1-inch squares from corners and middle section and folding up sides.

Area of base - 144 in.^2.

Calculate dimensions of cardboard used.

6 1-inch squares = 36 in.^2.

144 = - 36 in.^2.

How do I proceed from here ?

[Guest]

Error in last post:

6 1-inch squares = 6 in.^2.

144 = - 6 in.^2.

[Guest]

I don't understand the question....
How can you have 1 inch out of the middle of the box and still have a box.??????
A box with holes..?????
and you are not following any logic with your sums..
The normal procedure with problems is.................

Let x = something

Then set up an expression to represent then information given in the question....

Then solve for a solution.................

[Guest]

Addition to post:

The squares removed from the middle are on the sides.

Let L = Length
W = Width


I don't how to proceed with the expression.

[Guest]

Area of base is 144 so base is 12 x 12
Sides 1inch so size of sheet is 14 x 14 = 196 sq ins
What is purpose of holes in sides is it to let steam or smellout

[Guest]

"What is purpose of holes in sides is it to let steam or smellout"

I don't know- they were listed in the problem.

Please post solution to problem algebraically. Thanks.

[Guest]

You say 6 one inch squarex. 4 out of the corners and 2 from the middle so will not affect the overall size of the sheet. You tell me the area of tbe ase is 144.. that means the lengh of a side of the box is the sq root of 144. So that is 12 because it is a square base. If you add on the two 1 inch sides you get 14 inches overall for the sheet. No algebra involved because not that type of a problem. But then you do not know what the problem is..

[Guest]

Answer given:

14" x 27" sheet of cardboard used.

How was the 27 obtained ?

[Guest]

It has a lid
14 x 14 bottom part and 14 x 13 for lid joined on and 6 one inch squares cut out
And no algebra

[Guest]

And that gives one sheet cardboard 14 x 27

[Guest]

I was not thinking about the lid - Pizza box. Thanks.

[Guest]

Yes you knew the answer before you gave the question
I knew the question before you gave the answer[

[Guest]

I just wanted to know how the problem was solved with the extra squares removed. I DID NOT look for an answer until then.