Filling a bathtub with LEGO bricks is an intriguing concept that combines fun with a bit of math. To determine how many LEGO bricks it would take to fill a standard bathtub, we need to consider the size of both the bathtub and the LEGO bricks.
Product Example and Assumptions
For this calculation, we’ll use a standard American bathtub, which typically holds about 80 gallons of water. This is equivalent to approximately 302 liters or 302,000 cubic centimeters (cm³). We’ll use the classic LEGO 2×4 brick, which measures 1.6 cm in length, 0.8 cm in width, and 0.9 cm in height. This gives each brick a volume of 1.152 cm³.
Calculation
First, we calculate the volume of the bathtub in cubic centimeters:
Bathtub volume = 302,000 cm³
Next, we calculate the volume of a single LEGO 2×4 brick:
LEGO brick volume = 1.6 cm x 0.8 cm x 0.9 cm = 1.152 cm³
Now, we determine how many LEGO bricks are needed to fill the bathtub:
302,000 cm³ / 1.152 cm³ ≈ 262,152 bricks
Volume and Cost
To estimate the cost, we need to consider the price of LEGO bricks. A typical LEGO Classic Large Creative Brick Box contains 790 pieces and costs around 50 dollars. This means each brick costs approximately 0.063 dollars.
Cost to fill the bathtub:
262,152 bricks x 0.063 dollars per brick ≈ 16,512 dollars
The total weight of the LEGO bricks can also be estimated. A single LEGO 2×4 brick weighs about 2.5 grams. Therefore, the total weight is:
262,152 bricks x 2.5 grams per brick ≈ 655,380 grams or 655.38 kilograms
Conclusion
To fill a standard American bathtub with LEGO 2×4 bricks, you would need approximately 262,152 bricks. This would cost around 16,512 dollars and weigh about 655.38 kilograms. While this is a fun theoretical exercise, the practical implications of such a project would be quite significant in terms of cost and logistics.