SOLUTION: A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is formed by cutting squares that measure 4 inch on ea

Question 644775: A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is formed by cutting squares that measure 4 inch on each side from the four corners and then folding up the sides.
If the volume of the box 256 in cm^3 what are the dimensions of the piece of cardboard?
The Height?
The width?
It would be appreciated if you can show your work. Thank you! :)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the width of the piece of cardboard = in
The length = in
After the 4 in squares are cut from each corner,
The width = in
The length = in
Folding the sides up makes the height in
--------------
The volume is length x width x height, so
in3

Complete the square

in
and length = in
The cardboard is 12" x 24"
Height is 4"
Width is 12"
-----------
check:
The volume is

in3
OK
RELATED QUESTIONS
A box with no top is to be constructed from a piece of cardboard whose length measures... (answered by CubeyThePenguin)

A box with no top is to be constructed from a piece of cardboard whose length measures 12 (answered by TimothyLamb)

A box with no top is to be constructed from a piece of cardboard whose length measures 10 (answered by ikleyn)

a box with no top is to be constructed from a piece of cardboard whose length measures 12 (answered by josgarithmetic)

A box with no top is to be constructed from a piece of cardboard whose width measures x... (answered by ankor@dixie-net.com)

Please help me solve this problem: A box with no top is to be constructed from a piece of (answered by josmiceli)

Please help me solve this: A box with no top is to be constructed from a piece of... (answered by josgarithmetic,MathTherapy)

please help solve a box with no top is to be constructed from a piece of cardboard... (answered by venugopalramana)

A box with no top is to be constructed from a piece of cardboard whose length measures 9... (answered by ikleyn,Edwin McCravy)