Two bottles and their labels are mathematically similar. The smaller bottle contains 0.512 litres of water and has a label with area 96 cm².
The larger bottle contains 1 litre of water.
Calculate the area of the larger label.

The area of the larger label is 187.5 square centimeters.

Step-by-step explanation:

If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:

The area of the larger label is 187.5 square centimeters.

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step-by-step explanation: