Question

An open box is to be made from a flat square piece of material 19 inches in length and width by cutting equal squares of length x from the corners and folding up the sides. (a) Write the volume V of the box as a function of x. Leave it as a product of factors; you do not have to multiply out the factors.

Answer 1

Answer:
`Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )`

Explanation:

Given

Length is 19 in of original box so required length of square box is 19-2x

as width is also equal to length of box

therefore width=19-2x in.

height of box =x in.

`Volume =length* width* height`

`Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )`