Posted by **Kieran** on Thursday, September 27, 2012 at 9:24am.

a box with an open top is to be made from a rectangular piece of tin by cutting equal squares from the corners and turning up the sides. The piece of tin measures 1mx2m. Find the size of the squares that yields a maximum capacity for the box.

So far i have

V=(1-2x)(2-2x)x

- Calc -
**Steve**, Thursday, September 27, 2012 at 11:32am
so, figure dV/dx

dV/dx = 2(6x^2-6x+1)

dV/dx = 0 when x = 1/6 (3√3) = .211 or .789

Now .789 is impossible, since the width is only 1.

so, the cuts are .211m

- Calc -
**Kieran**, Thursday, September 27, 2012 at 12:30pm
how did you go from 0= 1/6 (3+-3)

- Calc -
**Steve**, Thursday, September 27, 2012 at 1:53pm
dV/dx = 2(6x^2-6x+1

so, dV/dx = 0 when 6x^2-6x+1

solve the quadratic to get X = 1/6 (3√3)

this is calculus; algebra I should be no problem...

## Answer this Question

## Related Questions

- math.....need help - Solve the problem. An open box is to be made from a ...
- Calculus - A box with an open top is to be made from a square piece of cardboard...
- Engineering - A box with an open top is to be made from a square piece of ...
- Calculus - an open box is made by cutting out squares from the corners of a ...
- math - it is required to make an open box of gregreatest possible volume from a ...
- math - open top rectangular box made from 35 x 35 inch piece of sheet metal by ...
- Calculus - an open top box is to be made by cutting congruent squares of side ...
- calculus - An open box is to be made from a 21 ft by 56 ft rectangular piece of ...
- Math - An open box is to be made from a 10-ft by 14-ft rectangular piece of ...
- Math (Word Problem) - An open gift box is to be made from a square piece of ...