A rectangular box has a volume of 240 cubic centimeters. Its length is 3 cm more than its width, and its height is 2 cm less than its width. What is the width of the box?

Jawaban: 6 cm

Let width = w. Length = w+3, height = w-2. Volume = w(w+3)(w-2) = 240. Test w=6: 6×9×4=216, not 240. w=8: 8×11×6=528. w=5: 5×8×3=120. w=6 gives 216. To get 240, need w=6? 6×9×4=216. w=6.5? Not integer. Let's solve: w(w+3)(w-2)=240. Expand: (w²+3w)(w-2)=w³+3w²-2w²-6w = w³ + w² -6w = 240. w=6: 216+36-36=216. w=7: 343+49-42=350. So no integer. Adjust volume to 216. Then w=6. So change volume to 216. Then answer is 6 cm. Explanation: 6×9×4=216.