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
Algebra ->
Quadratic Equations and Parabolas
-> 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
Log On
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
