Math
A box with an open top is to be constructed by cutting ainch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a box having a volume of 32 in^3, when a = 2?
width in
length in
asked by
Isaiah

If the original
width is x
length is 2x
With a=2, our new box has volume
(a)(x2a)(2x2a) = 32
2(x4)(2x4) = 32
2(x4)(2x4)  32 = 0
4x(x6) = 0
x = 6
So a sheet 6x12 will be cut to a box
2x2x8 with volume = 32
posted by Steve
Respond to this Question
Similar Questions

Math
Please help I have no Idea what to do here. A box with an open top is to be constructed by cutting ainch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a box 
math
open top rectangular box made from 35 x 35 inch piece of sheet metal by cutting out equal size squares from the corners and folding up the sides. what size squares should be removed to produce box with maximum volume. 
College Math
An opentopped rectangular box is to be constructed from a 24 inch by 36 inch piece of cardboard by cutting out squares of equal sides from the corners and then folding up the sides. What size squares should be cut out of each of 
Calculus
an open top box is to be made by cutting congruent squares of side length x from the corners of a 12 by 15 inch sheet of tin and bending up the sides. how large should the squares be? what is the resulting maximum value? 
Calculus
An open top box is made by cutting congruent squares from the corners of a 12 inch by 9 inch sheet of cardboard and then folding the sides up to create the box. What are the dimensions of the box which contains the largest volume? 
Math
You want to create a box without a top from an 8.5 in by 11 in sheet of paper. You will make the box by cutting squares of equal size from the four corners of the sheet of paper. If you make the box with the maximum possible 
Math
An open box is to be made from a 10ft by 14ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and folding up the sides. what size squares should be cut to obtain a box with largest 
precalc
A box with an open top is to be constructed by cutting equalsized squares out of the corners of a 18 inch by 30 inch piece of cardboard and folding up the sides. a) Let w be the length of the sides of the cut out squares. 
MATH help
A box with no top is to be constructed from a piece of cardboard whose Width measures x inch and whose length measures 3 inch more than the width the box is to be formed by cutting squares that measure 1 inch on each side of the 4 
algebra
Opentop box. Thomas is going to make an opentop box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then