Question

A box without a top is made from a rectangular piece of cardboard, with dimensions 27 centimeters by 18 centimeters, by cutting out square corners with side length x centimeters. Which expression represents the volume of the box in terms of x?

(2x−27)(2x−18)x

(27−2x)(18−2x)x

(27−x)(18−x)x

(27−2x)(18−2x)4x

Answer 1

(27-2x) (18-2x)x

Explanation:

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Answer 2

By cutting each corner we have that the resulting dimensions are:
27 - 2x
18 - 2x
Height = x
Therefore, the volume of the box in terms of the variable x, is given by:
V (x) = (x) * (27-2x) * (18-2x)
Answer:
The volume of the box in terms of x is:
(27-x) (18-x) x