Question

Corners are cut from a 30 cm by 20 cm piece of cardboard. The volume is V(x) = x(30 – 2x)(20 – 2x) with height x

Answer 1

When square corners of side x cm are cut from a 30 cm by 20 cm piece of cardboard, the length and the width of the remaining piece of cardboard are 30-2x cm and 20-2x cm respectively.

Now, if the sides of the piece of cardboard are folded to form an open box, the height of the box will be x cm.

The volume of the box will be V(x) = height*length*width = x(30-2x)(20-2x) cu. cm.

NOTE:

There is likely to be another part of the question. If so, make a comment. I will edit the answer,