Problem 42 - Prealgebra

Question

Country - Kenya Bottle size - \(300 \mathrm{mL}\) Liters in a 6 -pack ____________

Step-by-Step Solution

Answer

The 6-pack contains 1.8 liters.

Step 1: Understand the Conversion Formula

To find out how many liters are in the 6-pack, we need to convert milliliters to liters. The conversion factor is that 1 liter is equal to 1000 milliliters. Hence, to convert from milliliters to liters, you can use the formula: \[ ext{liters} = rac{ ext{milliliters}}{1000}\]

Step 2: Find the Volume of One Bottle in Liters

Each bottle in the 6-pack has a capacity of 300 mL. Using the conversion factor, convert this into liters:\[300 ext{ mL} = rac{300}{1000} ext{ L} = 0.3 ext{ L}.\]Therefore, each bottle holds 0.3 liters.

Step 3: Calculate the Total Volume for the 6-pack

Since there are 6 bottles, each with 0.3 liters, multiply the volume of one bottle by 6 to get the total volume:\[ ext{Total Volume} = 6 imes 0.3 ext{ L} = 1.8 ext{ L}.\]Thus, the total volume of the 6-pack is 1.8 liters.

Key Concepts

Milliliters to Liters

Converting milliliters to liters is a fundamental skill that helps you compare and measure volumes more easily. Milliliters (mL) and liters (L) are units of volume commonly used in capacity measurement. One crucial point to remember is the conversion factor - there are 1000 milliliters in one liter. This means that whenever you want to convert a volume expressed in milliliters to liters, you simply divide the number of milliliters by 1000. This conversion is handy whether you're measuring liquid ingredients for a recipe or calculating fuel efficiency. For instance, to convert 300 mL (like the bottle size in the original exercise) to liters, you divide 300 by 1000, which equals 0.3 liters.

Volume Calculation

Volume calculation involves determining how much space a substance occupies. In liquid measurements, we often use this to figure out how much liquid we have or need. When tasked with calculating the total volume, as seen in the 6-pack example, follow these steps:

• Determine the volume of each individual item; for instance, a single bottle holding 300 mL or 0.3 L.
• To find the total volume of multiple items, multiply the volume of one by the number of items. In our case, 0.3 L per bottle multiplied by 6 bottles gives a total volume of 1.8 L.

Always start your calculations by converting your units to ensure consistency. This helps avoid errors and makes it easier to compare or combine different volumes.

Capacity Measurement

Capacity measurement is an essential tool for understanding how much something can hold. It's often used to determine the space available for liquids and can be measured in various units like liters, milliliters, gallons, etc. In practical terms:

• Capacity relates to the maximum amount a container can hold.
• This can inform decisions, like understanding how many drinks you can serve from a specific number of bottles or how much fuel will fit in a car's tank.

For instance, if each bottle in a 6-pack has a capacity of 0.3 L, knowing the total pack capacity (1.8 L) can help you plan accordingly for storage or use.

Prealgebra

Prealgebra lays the groundwork for understanding basic mathematical operations and concepts, which are crucial for more complex mathematics. This fundamental knowledge helps you solve problems involving numbers, operations, and understanding properties like measurements. Problems like determining the total volume of a 6-pack can be approached using:

• Basic arithmetic, like addition, subtraction, multiplication, and division, to compute totals and conversions.
• Understanding units and conversions – knowing how to switch between milliliters and liters, crucial for solving measurement problems accurately.

By mastering prealgebra basics, you develop the skills necessary to navigate everyday mathematical challenges effectively.