Answer:
The expression that can be used to find the volume of the cardboard box is:
(4−2x)(2−2x)x
Step-by-step explanation:
A box without a top is made from a rectangular piece of cardboard, with dimensions 4 m by 2 m, by cutting out square corners with side length x.
i.e. the box is in the shape of a cuboid.
Now the volume of a box is same as the volume of a cuboid.
We know that the volume of a cuboid is given as:
Volume of cuboid=Length×Breadth×Height.
So, the length of the cuboid box is: 4-2x
and the width of the box is: 2-2x
Also, the height of box is: x
Hence, the volume of cuboid is:
[tex]Volume=(4-2x)\times (2-2x)\times x\\\\Volume=(4-2x)(2-2x)x[/tex]
Hence, the expression for the volume of cuboid box is:
(4−2x)(2−2x)x
