Question

A rectangular box is twice as long as it is wide. The height of the box is 3 feet less than the width. If the box is x feet wide, what polynomial represents its volume in cubic feet?

Answer 1

Let width of rectangular box be x feet.
Then the length is 2x feet.
Height of the box given = x - 3 feet
Volume of a cuboid = length*width*height
Volume of a cuboid = x*2x*(x-3) cubic. feet
Volume of the cuboid:
\[2x ^{2}*(x-3) = 2x ^{3} - 6x ^{2}\] cubic feet.
which is the final answer.