Question

A piece 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.

Answer 1

Answer:$\left ( 11-2x\right )\times \left ( 9-2x\right )\times \left ( x\right )$

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)=$\left ( 11-2x\right )\times \left ( 9-2x\right )\times \left ( x\right )$