Question

Thomas wants to make a box with no lid out of cardboard sheet to use as a food dish for his dog. He plans to make the box shape by cutting four congruent squares from all corners of the sheet.

1.) Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function.
2.) What is the size of the cutout he needs to make so that he can fit the maximum amount of food in the box?
3.) If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be? What would be the dimensions of this box?
4.) Using complete sentences, explain the connection between the cutout and the volume of the box.
5.) Design an equation that would work for any cardboard sheet length, q, and width, p.

Answer 1

Answer the questions from 1-5?

Answer 2

@lsherron14

Answer 3

what gread are you?

Answer 4

I'm in 11th

Answer 5

im in 10th

Answer 6

but i will do the math

Answer 7

This is Algebra, what I've learned in 10th grade but it's been so long so I forget how to do it

Answer 8

ok

Answer 9

I appreciate the help

Answer 10

The help he didnt do anything and im in 12

Answer 11

why the meddle? i dident do any thing

Answer 12

I know you didn't but you looked at it and I appreciate that. I've literally been stuck on this for so long so for even anyone to take time and look at it, means a lot.

and @Justin234 do you understand it?

Answer 13

Thomas wants to make a box with no lid out of cardboard sheet to use as a food dish for his dog. He plans to make the box shape by cutting four congruent squares from all corners of the sheet.

1.) Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function.

Draw that 8 x 12 inch piece of cardboard. Next, draw using dashed lines the 4 congruent squares to be cut out of the 4 corners of the cardboard. label the length of the side of each square "x."