Question

7. An open box is to be made from a square piece of material, 24 cm on a side
cutting equal squares from the corners and turning up the sides as shown (Fig. 1.17
Express the volume V of the box as a function of x.

can anyone explain this ​

Answer 1

length of box after fold =width of box=24-2x

height of box = x

vol of box

=(24-2x)²x

=144x+4x²-96x²

=144x-92x²