Browse · MATH
Printjmc
algebra senior
Problem
A rectangular box has a volume of cubic inches and a surface area of square inches. The sum of the lengths of its edges is inches. What would be the volume of the box, in cubic inches, if its length, width and height were each increased by one inch?
Solution
We label the length , the width , and the height . We are given that , thus we have that and Also, so .
We want to find what the volume will be if we increase all of the sides by an inch. So we have,
We want to find what the volume will be if we increase all of the sides by an inch. So we have,
Final answer
5225 \text{ cubic inches}