Sheet # 194/Juice Carton Design
Name: ________________________ Date_____________
Explain and Show Your Work
You have been asked by a juice company to design a juice carton. The base of the carton should be square and it should hold 2000 cubic centimeters of juice. What are the possible combinations of length, width and height of the carton. Explain your answer. Use whole numbers only.
Answers to Sheet #194
1. V = l x w x h
V = 2000 cubic cm
if base is square then l = w
2000 cubic cm = w x w x h = l x l x h
possible solutions:
a) w = l = 10 cm
(2000 cubic cm)/(10cm x 10cm) = h
h = 20 cm
b)w = l = 20 cm
(2000 cubic cm)/(20cm x 20cm) = h
h = 5 cm