Question

A metal worker makes a box from a 15inch by 20inch piece of tin by cutting a square with a side length x out of each corner and folding up the sides

a) write expressions for length width and height of the box
b) write a polynomial for the volume of the box

Answer 1

a) Length = (20 - 2x) inches

Width = (15 - 2x) inches

b) Volume = (20 - 2x)(15 - 2x)x cubic inches.

Explanation:

A metalworker makes a box from 15 inches by 20 inches piece of tin by cutting a square with a side length x out of each corner and folding up the sides.

a) So, the length of the box will become (20 - 2x) inches.

And, the width of the box will become (15 - 2x) inches.

b) The volume of the box will be = (Length × Width × Height)

= (20 - 2x)(15 - 2x)x cubic inches. (Answer)