volume
posted by carly .
Jasmine is a manufacturing engineer who is trying to find out if she can use a 20inchby12 inch sheet of cardboard and a 15inchby16inch sheet of cardboard to make boxes with the same height and volume. Is such a pair of boxes possible?
Please give mathematical proof.

The problem is not clearly enough defined. Certainly you could make a pair of small boxes of equal volume and height, with material left over from both pieces.
Conider a pair of 4 x 4 x 4 inch boxes, for example. All you need is a 12 x 12 x 12 sheet.
Respond to this Question
Similar Questions

Math Calculus Word Problem
an 18 inch by 20 inch sheet of cardboard is cut and folded to make a box for the great pecan company. a. write a polynomial funtion to model the volume of the box. how can i graph this? 
Math
From a 10inchby19inch piece of cardboard, 3inchsquare corners are cut out, as shown in the figure above, and the resulting flaps are folded up to form an open box. Find the surface area and volume of the open box 
Math
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 … 
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
I have a piece of cardboard that is twice as long as it is wide .I f I cut a 1inch by 1inch square from each corner and fold up the resulting flaps ,I get a box with a volume of 40 cubic inches.what are the dimensions of the cardboard? 
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
Jasmine is manufacturing engineer who is trying to find out if she can use a 12inch by 12inch sheet of cardboard and a 15inch by 16inch sheet of cardboard to make boxes with the same height and volume. In such a pair of boxes possible? 
Algebra
A box with a lid is to be cut out of a 12 inch by 24 inch sheet of thin cardboard by cutting out six xinch squares and folding them. What are the dimensions to two decimal places of all possible boxes that will have a volume of 100 … 
Algebra
You have to make a squarebottomed, unlidded box with a height of three inches and a volume of approximately 42 cubic inches. You will be taking a piece of cardboard, cutting threeinch squares from each corner, scoring between the … 
math
Jessie has a piece of cardboard that is 8.5 inches by 11 inches. She makes a picture frame with the cardboard by cutting out a 4 inch by 4 inch square from the center of the cardboard. What is the are of the frame?