Tuesday

March 31, 2015

March 31, 2015

Posted by **jim** on Tuesday, May 19, 2009 at 8:05pm.

by cutting congruent squares from the corners and folding up the sides.

What are the dimensions (of the 3 sides) of the largest volume you can make this way?

- calculus -
**Reiny**, Tuesday, May 19, 2009 at 8:19pmlet the size of the cut out squares be x by x inches

so the base of the box is 12-2x by 12-2x and its height is x inches.

volume = x(12-2x^2

expand, then find d(volume)dx

set that equal to zero and solve for x,

from which you can then find the dimensions

**Answer this Question**

**Related Questions**

optimal dimensions - Applications of derivatives You are planning to make an ...

math - An open topped box can be created by cutting congruent squares from each ...

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

Math - An open-topped box can be created by cutting congruent squares from each ...

math grade 12 - A open-topped box can be created by cutting congruent squares ...

math - An open box is made from a rectangular piece of cardboard, with ...

math - An open-topped box is made from a rectangular piece of cardboard, with ...

math - you want to make an open-topped box from a 20 cm by 20 cm piece of ...

Algebra - A box with no top is to be constructed from a piece of cardboard ...

Calculus - A box with an open top is to be made from a square piece of cardboard...