Monday

July 28, 2014

July 28, 2014

Posted by **Haru** on Monday, July 21, 2008 at 11:22am.

I'm not sure how to start this out. Do I multiply x(8.5-2x)(11-2x)?

- Math -
**Matt**, Monday, July 21, 2008 at 11:57amWell, assuming there is no bottom to the box (taken from where the instructions say you only cut 4 pieces of paper), the largest length possible that can be cut along the 8.5 in side is 4.25 inches. So, assuming the constraints from the instructions the way I interpreted, that is the length.

- Math -
**tchrwill**, Monday, July 21, 2008 at 1:20pmThe volume V will be

V = (8.5 - 2x)(11 - 2x)x

V = 4x^3 - 39x^2 + 93.5x

Taking the first derivitive:

dV = 12x^2 - 78x + 93.5

Set equal to zero and solve for x.

**Related Questions**

maths --plse help me.. - THE VOLUME OF A CYLINDER IS 48.125cm cube , WHICH IS ...

maths-urgently needed - The volume of a cylinder is 48.125 cm3, which is formed ...

Calculus - An open top box is made by cutting congruent squares from the corners...

math - open top rectangular box made from 35 x 35 inch piece of sheet metal by ...

Calculus - A SHEET OF CARDBOARD 180 INCHES SQUARE IS USED to make an open box by...

algebra - Open-top box. Thomas is going to make an open-top box by cutting equal...

Math - Please help I have no Idea what to do here. A box with an open top is to ...

Calculus - A square sheet of cardboard with a side 16 inches is used to make an ...

Math - An open box is to be made from a 10-ft by 14-ft rectangular piece of ...

Maths - A box with no top is to be built by taking a 6'' - by - 10'' sheet of ...