00:01
In this problem, an open box is made out of a cardboard sheet by cutting out 5 inches square from all the four corners and folding up the sides.
00:15
It is also known as the volume v of the box is 2 ,420 cubic inches.
00:25
We are asked to determine the dimensions of the cardboard so that this box.
00:32
Box can be made.
00:36
Now this diagram shows the situation.
00:39
Let the cardboard has side length x and since from each corners five inch squares are cut out, the box will have a height of five inches and the length and width of this box will be x minus subtract the five inches from both sides so that x minus x minus.
01:04
So that x minus 10 will be the width and length of the square box.
01:10
Now, the length of the box is actually the dimension of the base, that is x minus 10.
01:21
The width of the box is also x minus 10 since it has a square base.
01:27
And the height of the box is 5 inches...