Volume and Mass

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Volume and Mass · Grade 3 · Worksheet 1

1. A farmer has a large water tank that contains 4,500 liters of water. She uses 1,250 liters to water her crops. How many liters of water are left in the tank? Answer: 3250 Solution: We start with the total amount of water in the tank: 4500 liters. The farmer uses 1250 liters for watering crops, which means we need to subtract that amount from the total.
   Full step-by-step solution

   We start with the total amount of water in the tank: 4500 liters. The farmer uses 1250 liters for watering crops, which means we need to subtract that amount from the total. Step 1: Write the subtraction: 4500 - 1250 Step 2: Subtract the ones place: 0 - 0 = 0 Step 3: Subtract the tens place: 0 - 5 cannot be done without regrouping, so we look to the hundreds place. Step 4: Regroup from the hundreds: The hundreds digit is 5 (from 4500), but since 5 is in the hundreds place and we need to help the tens, we think of 4500 as 4 thousands, 5 hundreds, 0 tens, 0 ones. We regroup 1 hundred as 10 tens: 5 hundreds becomes 4 hundreds, and 0 tens becomes 10 tens. Now the number looks like: 4 thousands, 4 hundreds, 10 tens, 0 ones. Step 5: Subtract the tens: 10 tens - 5 tens = 5 tens. Step 6: Subtract the hundreds: 4 hundreds - 2 hundreds = 2 hundreds. Step 7: Subtract the thousands: 4 thousands - 1 thousand = 3 thousands. Step 8: Combine the result: 3 thousands, 2 hundreds, 5 tens, 0 ones = 3250. So, the amount of water left in the tank is 3250 liters.

2. Liam is helping his dad fill a large fish tank. They have a 2-liter bucket. If they need to add 18 liters of water to the tank, how many full buckets of water do they need to carry? Answer: 9 Solution: - Bucket size = 2 liters - Total water needed = 18 liters - We want the number of full buckets needed. Each bucket holds 2 liters.
   Full step-by-step solution

   We are told: - Bucket size = 2 liters - Total water needed = 18 liters - We want the number of full buckets needed. Step 1: Understand the problem. Each bucket holds 2 liters. We need to find how many buckets are needed to get at least 18 liters, but we can only use full buckets. Step 2: Set up the division. Number of buckets = Total water needed ÷ Bucket size Number of buckets = 18 ÷ 2 Step 3: Perform the division. 18 ÷ 2 = 9 Step 4: Interpret the result. Since 9 is a whole number, 9 full buckets will give exactly 18 liters. No partial buckets are needed. Step 5: Conclusion. They need to carry 9 full buckets of water. Answer: 9

3. Noah is helping his teacher set up a science station. They have a large container that holds 15 liters of water. Noah has already poured 8 liters into the container. How many more liters of water does Noah need to add to fill the container completely? Answer: 7 Solution: The container can hold 15 liters total. Noah has already poured 8 liters into the container.
   Full step-by-step solution

   Step 1: The container can hold 15 liters total. Step 2: Noah has already poured 8 liters into the container. Step 3: To find how much more is needed, subtract the amount already poured from the total capacity: 15 - 8 Step 4: 15 - 8 = 7 Noah needs to add 7 more liters of water to fill the container completely.

4. Emma is making a large batch of soup for her family. The recipe calls for 3 liters of vegetable broth. She already has 1,250 milliliters of broth in the pot. How many more milliliters of broth does Emma need to add to reach the required amount? Answer: 1750 Solution: Convert 3 liters to milliliters. Since 1 liter = 1,000 milliliters, 3 liters = 3 × 1,000 = 3,000 milliliters. Emma already has 1,250 milliliters in the pot.
   Full step-by-step solution

   Step 1: Convert 3 liters to milliliters. Since 1 liter = 1,000 milliliters, 3 liters = 3 × 1,000 = 3,000 milliliters. Step 2: Emma already has 1,250 milliliters in the pot. Step 3: Subtract what she has from what she needs: 3,000 - 1,250 = 1,750 milliliters. The answer is 1,750 milliliters.

5. A picture shows three buckets of water. The first bucket has 5 liters, the second bucket has 3 liters, and the third bucket has 4 liters. How many liters of water are there in total? Answer: 12 Solution: Identify the amount in the first bucket: 5 liters. Identify the amount in the second bucket: 3 liters. Identify the amount in the third bucket: 4 liters.
   Full step-by-step solution

   Step 1: Identify the amount in the first bucket: 5 liters. Step 2: Identify the amount in the second bucket: 3 liters. Step 3: Identify the amount in the third bucket: 4 liters. Step 4: Add all the amounts together: 5 + 3 + 4. Step 5: First, add 5 and 3 to get 8. Step 6: Then, add 8 and 4 to get 12. The total amount of water is 12 liters.

6. Liam is helping his dad paint a fence. They have a large bucket that holds 8 liters of paint. After painting the front fence, they used 3 liters of paint. How many liters of paint are left in the bucket? Answer: 5 Solution: We start with a bucket that holds 8 liters of paint. They used 3 liters of paint for the front fence. To find how much paint is left, we subtract the amount used from the starting amount.
   Full step-by-step solution

   We start with a bucket that holds 8 liters of paint. They used 3 liters of paint for the front fence. To find how much paint is left, we subtract the amount used from the starting amount. Step 1: Write the subtraction. 8 liters (starting) − 3 liters (used) = ? Step 2: Perform the subtraction. 8 − 3 = 5 Step 3: Interpret the result. The result, 5, means there are 5 liters of paint left in the bucket. Final answer: 5 liters.

7. Liam is helping his mom make lemonade for a family picnic. They need to fill a large pitcher that holds 2 liters. Liam has already poured 750 milliliters of lemonade into the pitcher. How many more milliliters of lemonade does Liam need to pour to fill the pitcher completely? Answer: 1250 Solution: The pitcher holds 2 liters of liquid. Liam has already poured 750 milliliters into it. We need to find how many more milliliters are needed to fill it.
   Full step-by-step solution

   Step 1: Understand the problem. The pitcher holds 2 liters of liquid. Liam has already poured 750 milliliters into it. We need to find how many more milliliters are needed to fill it. Step 2: Convert the total capacity to milliliters. We know 1 liter = 1000 milliliters. So 2 liters = 2 × 1000 = 2000 milliliters. This means the pitcher can hold 2000 milliliters in total. Step 3: Subtract what Liam has already poured from the total capacity. Amount already poured = 750 milliliters. Amount needed = Total capacity − Amount already poured. That is: 2000 − 750. Step 4: Perform the subtraction. 2000 − 750 = 1250. Step 5: State the answer. Liam needs to pour 1250 more milliliters to fill the pitcher completely.

8. 2456 + 3789 = ? Answer: 6245 Solution: 2456 + 3789 6 + 9 = 15 Write down 5 in the ones place, carry over 1 to the tens place.
   Full step-by-step solution

   Let's add 2456 and 3789 step-by-step using column addition. We write the numbers aligned by place value: ``` 2456 + 3789 ------ ``` **Step 1: Add the ones place** 6 + 9 = 15 Write down 5 in the ones place, carry over 1 to the tens place. So far: ...5 (carry 1) --- **Step 2: Add the tens place** We have: 5 + 8 + carried 1 = 5 + 8 = 13, plus 1 = 14 Write down 4 in the tens place, carry over 1 to the hundreds place. So far: ...45 (carry 1) --- **Step 3: Add the hundreds place** We have: 4 + 7 + carried 1 = 4 + 7 = 11, plus 1 = 12 Write down 2 in the hundreds place, carry over 1 to the thousands place. So far: ...245 (carry 1) --- **Step 4: Add the thousands place** We have: 2 + 3 + carried 1 = 2 + 3 = 5, plus 1 = 6 Write down 6 in the thousands place. So far: 6245 --- **Final answer:** 6245