Apiece of cardboard measuring 9 inches by 11 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. find a formula for the volume of the box in terms of x.

Step-by-step explanation:

Given data

breadth=9 in

Length=11 in

Now a square of side x is cutted for each corner such that the cardboard is made into a open-top box with

length=11-2x

breadth=9-2x

height=x

Here substract 2x because from both sides of length and breadth x units are reduced.

therefore volume of new open-top box is

Volume(v)=

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following