Saturday

December 20, 2014

December 20, 2014

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**

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

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

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

Math - A box with an open top is to be made by cutting 5-inch squares from the ...

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

algebra 2 - you can make an open box from a piece of flat cardboard. First cut ...

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

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