#### 5621. A scientist is conducting an experiment that requires precise measurements. She needs 2.5 liters of a solution, but she only has a 0.75-liter measuring cup. How many full times must she fill the cup to get at least 2.5 liters?

Wed, 06 May 2026 14:29:40 +0000

# 5621. A scientist is conducting an experiment that requires precise measurements. She needs 2.5 liters of a solution, but she only has a 0.75-liter measuring cup. How many full times must she fill the cup to get at least 2.5 liters? When accuracy matters most—even in everyday lab work—simple measuring challenges spark quiet curiosity. This scenario exemplifies a common precision question: how many times must a specific-volume tool be used to reach a precise target? Rooted in routine scientific practice, this mental exercise offers more than a math problem—it reveals patterns in measurement, estimation, and planning that matter beyond the science lab. In labs, research teams, and professional workflows, tools like measuring cups must be used repeatedly when standard capacity falls short of required volume. The core idea here is straightforward: to measure out 2.5 liters using a 0.75-liter cup, precise repetition bridges small steps. How many full fills does it take? The calculation is simple: divide 2.5 liters by 0.75 liters, which equals approximately 3.33. Since only full fills count, the scientist must fill the cup **4 times** to exceed 2.5 liters and have enough solution for accurate experimentation.