When packing for a trip, you might wonder how many water bottles can fit in your suitcase. To find out, let’s consider a specific example using a popular water bottle and a standard suitcase size.
Product Example and Assumptions
For this calculation, we’ll use the Hydro Flask 32 oz bottle, which holds 946 ml and weighs 439 grams. The dimensions of this bottle are approximately 9.4 inches in height and 3.6 inches in diameter. We’ll assume a standard suitcase size of 100 liters, which is equivalent to 100,000 cubic centimeters (cm³).
Calculation
First, we need to calculate the volume of the Hydro Flask bottle in cubic centimeters. The volume of a cylinder (which is the shape of the bottle) is calculated using the formula:
Volume = π × radius² × height
Converting the dimensions to centimeters, the radius is 3.6 inches / 2 = 1.8 inches, which is approximately 4.57 cm. The height is 9.4 inches, which is approximately 23.88 cm.
Volume = 3.14159 × (4.57 cm)² × 23.88 cm ≈ 1,566 cm³
Now, divide the suitcase volume by the bottle volume to find out how many bottles can fit:
Suitcase volume = 100,000 cm³
Bottle volume = 1,566 cm³
100,000 / 1,566 ≈ 63 bottles
Volume and Cost
With 63 Hydro Flask bottles, the total volume used is:
63 bottles × 1,566 cm³/bottle = 98,658 cm³
The total weight of the bottles is:
63 bottles × 439 grams/bottle = 27,657 grams or approximately 27.7 kilograms
Assuming each Hydro Flask 32 oz bottle costs around 45 dollars, the total cost for 63 bottles would be:
63 bottles × 45 dollars/bottle = 2,835 dollars
Conclusion
In a standard 100-liter suitcase, you can fit approximately 63 Hydro Flask 32 oz bottles. This would occupy nearly the entire volume of the suitcase and weigh about 27.7 kilograms. The total cost for these bottles would be around 2,835 dollars. This calculation provides a practical estimate for packing water bottles in a suitcase of this size.