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mariarad [96]
3 years ago
5

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 e

ach corner and folding up the sides. Find a formula for the volume of the box in terms of x.

Mathematics
1 answer:
Alika [10]3 years ago
5 0

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 )

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