Units of Measurement Worksheets | Volume and Mass - Free Printable
Educational worksheet: Units of Measurement Worksheets | Volume and Mass. Download and print for classroom or home learning activities.
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Step-by-step solution for: Units of Measurement Worksheets | Volume and Mass
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Show Answer Key & Explanations
Step-by-step solution for: Units of Measurement Worksheets | Volume and Mass
Problem Analysis and Solution:
The image contains four problems related to volume, mass, rates, and time. Below is a detailed explanation and solution for each problem.
---
#### 1. Rates, Rates and More Rates
Problem Statement:
There has been a huge amount of milk spilled. The spill has spread 15 meters in 3 minutes. How many meters will it have spread in 10 minutes?
Solution:
To solve this, we need to determine the rate at which the milk is spreading and then use that rate to find the distance covered in 10 minutes.
- Step 1: Calculate the rate of spreading.
The milk spreads 15 meters in 3 minutes. Therefore, the rate of spreading is:
\[
\text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{15 \text{ meters}}{3 \text{ minutes}} = 5 \text{ meters per minute}
\]
- Step 2: Use the rate to find the distance spread in 10 minutes.
If the milk spreads at a rate of 5 meters per minute, then in 10 minutes, the distance covered will be:
\[
\text{Distance} = \text{Rate} \times \text{Time} = 5 \text{ meters/minute} \times 10 \text{ minutes} = 50 \text{ meters}
\]
Final Answer:
\[
\boxed{50}
\]
---
#### 2. Baking Time
Problem Statement:
Hannah has 5 loaves baked full of walnuts. If 1 loaf takes 3 hours, how many hours will it take to bake all 5 loaves?
Solution:
To solve this, we need to calculate the total baking time for 5 loaves, given that each loaf takes 3 hours to bake.
- Step 1: Determine the total baking time.
Since each loaf takes 3 hours and there are 5 loaves, the total baking time is:
\[
\text{Total Time} = \text{Number of Loaves} \times \text{Time per Loaf} = 5 \times 3 \text{ hours} = 15 \text{ hours}
\]
Final Answer:
\[
\boxed{15}
\]
---
#### 3. Baking a Cake
Problem Statement:
Jill is making a cake that takes 6 cups of sugar. Jill only has a cup that holds 1/4 cup of sugar. How many scoops of sugar will Jill need to fill 6 cups?
Solution:
To solve this, we need to determine how many 1/4-cup scoops are required to make up 6 cups of sugar.
- Step 1: Calculate the number of 1/4-cup scoops in 1 cup.
Since 1 cup is equivalent to 4 scoops of 1/4 cup (because \(1 \div \frac{1}{4} = 4\)), we have:
\[
1 \text{ cup} = 4 \text{ scoops of } \frac{1}{4} \text{ cup}
\]
- Step 2: Calculate the number of 1/4-cup scoops in 6 cups.
If 1 cup requires 4 scoops, then 6 cups will require:
\[
6 \text{ cups} \times 4 \text{ scoops per cup} = 24 \text{ scoops}
\]
Final Answer:
\[
\boxed{24}
\]
---
#### 4. Filling the Tank
Problem Statement:
Lisa has an aquarium that needs to be filled with 80 liters of water. If Lisa’s bucket holds 5 liters, how many times will she have to fill her bucket to fill 80 liters into the tank?
Solution:
To solve this, we need to determine how many buckets of 5 liters are required to fill 80 liters.
- Step 1: Calculate the number of buckets needed.
Since each bucket holds 5 liters, the number of buckets required to fill 80 liters is:
\[
\text{Number of Buckets} = \frac{\text{Total Volume}}{\text{Volume per Bucket}} = \frac{80 \text{ liters}}{5 \text{ liters/bucket}} = 16 \text{ buckets}
\]
Final Answer:
\[
\boxed{16}
\]
---
Final Answers:
1. \(\boxed{50}\)
2. \(\boxed{15}\)
3. \(\boxed{24}\)
4. \(\boxed{16}\)
Parent Tip: Review the logic above to help your child master the concept of mass and volume worksheet.