What I Can Do
Use the situation below to answer the questions that follow. Write your answer on your answer sheet. A company decided to increase the size of the box for the packaging of their canned sardines. The length of the original packaging box was 40 cm longer than its width, the height was 12 cm, and the volume was at most 4,800 cm3.
a. How would you represent the width of the original packaging box? How about the length of the box?
b. What expression would represent the volume of the original packaging box? How about the mathematical sentence that would represent its volume? Define the variables used.
c. What could be the greatest possible dimensions of the box if each dimension is in whole centimeters? Explain how you arrived at your answer.
d. Suppose the length of the new packaging box is still 40 cm longer than its width and the height is 12 cm. What mathematical sentence would represent the volume of the new packaging box? Define the variables used. e. What could be the dimensions of the box? Give the possible dimensions of at least three different boxes.​