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? (12−2x)(10−2x)x (12−x)(10−x)x (12x−10)(10x−12) (10−12x)(12−10x)

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The answer is(12-2x)(10-2x)x
Just took the quiz myself ^~^

Volume is a three-dimensional scalar quantity. The volume of the box will be (12-2x)(10-2x)x.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The given dimension of the box is 12 cm by 10cm. since the length of the square corner is x, and it is needed to be cut from both sides. Therefore, the volume of the box will be,

Volume = (12-2x)(10-2x)x

Hence, the volume of the box will be (12-2x)(10-2x)x.

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