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A box without a top is made from a rectangular piece of cardboard, with dimensions 12 cm by 10 cm, by cutting out square corners with side length x.

 

Which expression can be used to determine the greatest possible volume of the cardboard box?

 

A. (10 − 12x)(12 − 10x)

B. (12 − 2x)(10 − 2x)x

C. (12x − 10)(10x − 12)

D. (12 − x)(10 − x)x

 Mar 27, 2019
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Let the side of the square  = x

 

So.....the height of the  box will be x

 

And the base  area is   (12 -2x) (1- 2x)

 

So....the area is

 

Base area * height  =

 

(12 - 2x) (10 - 2x) *x   ⇒     "B"

 

 

 

cool cool cool

 Mar 27, 2019

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