Find the volume, Vcm3, of the box in terms of x? (See details below for description of problem)

A square sheet of cardboard has edges of length 20 cm. Four equal squares of edge length x cm are cut out of the corners and the sides are turned up to form an open rectangular box.

The length of each edge is 4x(10-x)

1 Answer
Aug 3, 2018

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Length of each edge of square sheet 20 cm

Length and breadth of the box =20-2x cm

Height of the box =x cm

Volume of the box

V=(20-2x)xx(20-2x)xx x=4x(10-x)^2" "cm^3