Question

A rectangle has a length of 14 units and a width of 10 units. Squares of x by x units are cut out of each corner, and then the sides are folded up to create an open box. Express the volume of the box as polynomial function in terms of x .

Answer 1

∴V=(14-2x)(10-2x)x

where V is the volume of the box in cubic units.

Explanation:

Given that,

A rectangle has a length of 14 units and width of 10 units.

4 squares with dimensions x by x units are cut out from the each corner of the rectangle.

The length of the box is= (14-2x) units

The width of the box is =(10-2x) units

The height of the box is = x unit.

The volume of the box is = Length × width×height

=(14-2x)(10-2x)x cubic units.

∴V=(14-2x)(10-2x)x

where V is the volume of the box in cubic units.