Thursday

December 18, 2014

December 18, 2014

Posted by **diana** on Thursday, July 24, 2008 at 8:48pm.

IT IS TO BE MADE INTO A BOX WITH AN OPEN TOP BY CUTTING 3-INCH SQUARES FROM EACH CORNER AND FOLDING UP THE SIDES.

IF THE VOLUME OF THE BOX MUST BE BETWEEN 600 AND 800 CUBIC INCHES, WHAT VALUES OF X WILL PRODUCE THIS RANGE OF VOLUMES?

- CALCULUS -
**Damon**, Thursday, July 24, 2008 at 9:39pmwidth of sheet = x ??? I will assume

b, breadth of box = x - 6

L = length of box = 2.6 x - 6

height = 3

600 ≤ 3(x-6)(2.6 x - 6) ≤ 800

600 ≤ 7.8 x^2 -64.8 x + 108 ≤ 800

492 ≤ 7.8 x^2 - 64.8 x ≤ 692

solve those quadratics (ignore negative solutions)

x = 13.1

x = 14.4

**Answer this Question**

**Related Questions**

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 - An open box is to be made from a 21 ft by 56 ft rectangular piece of ...

inermediate algebra - A box with no top is to be made by cutting a 2-inch square...

math - a piece of cardboard is twice as it is wide. It is to be made into a box ...

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

calculus - Help!!! A rectangle piece of cardboard twice as long as wide is to be...

calculus - An open box is to be made out of a 8-inch by 14-inch piece of ...

Calculus - You are given a piece of sheet metal that is twice as long as it is ...

Calculus - an open top box is to be made by cutting congruent squares of side ...