what is vol. of box formed from sheet w/ corners cut out?

[heavens_daughter]

A rectangular piece of tin measures 36 in. by 25 in. A square measuring 4 in. by 4 in. is cut out of each corner and the sides are folded to form a box. What is the volume of the box?

area of the squares is 16 in x2=32

v=bh

v=32x36=1152 in cubed

ok some how i think i messed this one up a bit.

 

[jwpaine]

Re: what is the volume of the box

A rectangular piece of tin measures 36 in. by 25 in. A square measuring
4 in. by 4 in. is cut out of each corner and the sides are folded to form a
box.What is the volume of the box?


area of the squares is 16 in x2=32

v=bh

v=32x36=1152 in cubed


ok some how i think i messed this one up a bit.

Hi. It is easier to solve this problem if you draw it out on paper.

You have a rectangle of dimensions: 36 * 25

you cut a 4*4 square out of each corner. this leaves you with two opposing sides of length, (36-8) = 28 and two opposing sides of length (25-8) = 17

if you fold this up into a box, the box's HEIGHT would = 4in

1 side would = 17

1 side would = 28


so the volume would be ( 17*28*height )

Hope this helps.

 

[soroban]

Re: what is vol. of box formed from sheet w/ corners cut out

Hello, heavens_daughter!

A rectangular piece of tin measures 36 in. by 25 in.
A square measuring 4 in. by 4 in. is cut out of each corner
and the sides are folded up to form a box.
What is the volume of the box?

Obviously, you didn't make a sketch or even visualize the problem.

      : - - - - - 36  - - - - :
   -  *-----*-----------*-----* -
   :  |:::::|           |:::::| :
   :  |:::::|           |:::::| 4
   :  |:::::|           |:::::| :
   :  *-----*           *-----* -
   :  |                       | :
   :  |                       | :
  25  |                       | 17
   :  |                       | :
   :  |                       | :
   :  *-----*           *-----* -
   :  |:::::|           |:::::| :
   :  |:::::|           |:::::| 4
   :  |:::::|           |:::::| :
   -  *-----*-----------*-----* -
      :  4  :    28     :  4  :

This is the sheet of tin.
The four corner squares are removed
. . and the sides are folded up
. . forming an open-top box.

              *-----------------*
            / |               / |
          /   |             /   | 4
        /     |           /     |
      *-----------------*       *
      |                 |     /
    4 |                 |   / 17
      |                 | /
      *-----------------*
              28

And this is the box.

Got it?