Question

The capacity of a jug is 3.1 liters correct to the nearset 0.1 liters. The capacity of a glass is 0.25 liters correct to the nearset 0.01 liter.

The minimum capacity of the jug is? ​

Answer 1

The minimum capacity of the 3.1-liter jug, accurate to the nearest 0.1 liter, would be 3.05 liters, since this is the lowest value that rounds up to 3.1 liters.

Step-by-step explanation:

The jug's minimum capacity, specified at 3.1 liters rounded to the nearest 0.1 liters, implies that the true minimum could be marginally less. In adherence to the rounding precision, the lower limit extends to 3.05 liters. This delineation stems from the fact that any volume falling between 3.05 and slightly below 3.15 liters, when rounded, converges to the specified 3.1 liters. The nuanced consideration of potential lower bounds acknowledges the inherent variability introduced by rounding precision, elucidating a more comprehensive understanding of the jug's plausible capacity range within the specified measurement constraints.

Answer 2

The capacity of a jug is 3.5 l correct to the nearest 0.1 l. This places the volume of the jug between 3.50 l and 3.59 l

The capacity of a glass is 0.25 l correct to the nearest 0.01 l. This places the volume of a glass between 0.259 and 0.250 l

The maximum number of glasses that can surely be filled is equal to the whole number that lies just below 3.50/0.259.

3.50/0.259 = 13.51

The required value of the greatest number of glasses that can be surely filled is 13.