Measurement Conversion

lessonbunny.com

Answer Key & Explanations

Measurement Conversion · Grade 5 · Worksheet 2

1. Emma is helping her family paint their living room. They need to cover a wall that measures 4.2 meters wide and 2.8 meters high. The paint can says that one liter covers 7 square meters. How many liters of paint will Emma need to cover the entire wall? Answer: 1.68 liters Solution: Area = width × height = 4.2 m × 2.8 m 4.2 × 2.8 = 11.76 square meters Paint coverage: 1 liter covers 7 square meters Liters needed = total area ÷ coverage per liter 11.76 ÷ 7 = 1.68 liters 11.76 ÷ 7 = 1.68 The answer is 1.68 liters.
   Full step-by-step solution

   Step 1: Calculate the area of the wall Area = width × height = 4.2 m × 2.8 m 4.2 × 2.8 = 11.76 square meters Step 2: Determine how many liters of paint are needed Paint coverage: 1 liter covers 7 square meters Liters needed = total area ÷ coverage per liter 11.76 ÷ 7 = 1.68 liters Step 3: Verify the calculation 11.76 ÷ 7 = 1.68 The answer is 1.68 liters.

2. Noah is helping his mom set up a lemonade stand. They need to make a large batch of lemonade using a recipe that calls for 3 liters 750 milliliters of water. Noah's water pitcher only shows measurements in milliliters. How many milliliters of water does Noah need to measure out? Answer: 3750 milliliters Solution: Recall that 1 liter = 1000 milliliters. Convert the 3 liters to milliliters: 3 × 1000 = 3000 milliliters. Add the remaining 750 milliliters: 3000 + 750 = 3750 milliliters.
   Full step-by-step solution

   Step 1: Recall that 1 liter = 1000 milliliters. Step 2: Convert the 3 liters to milliliters: 3 × 1000 = 3000 milliliters. Step 3: Add the remaining 750 milliliters: 3000 + 750 = 3750 milliliters. Step 4: Noah needs 3750 milliliters of water.

3. Liam is building a model train set. He has a track that is 3 meters 45 centimeters long. He wants to add another piece of track that is 1 meter 87 centimeters long. What is the total length of the track in centimeters when he connects them? Answer: 532 centimeters Solution: Convert 3 meters 45 centimeters to centimeters. There are 100 centimeters in 1 meter, so 3 meters = 3 x 100 = 300 centimeters. Then add the 45 centimeters: 300 + 45 = 345 centimeters.
   Full step-by-step solution

   Step 1: Convert 3 meters 45 centimeters to centimeters. There are 100 centimeters in 1 meter, so 3 meters = 3 x 100 = 300 centimeters. Then add the 45 centimeters: 300 + 45 = 345 centimeters. Step 2: Convert 1 meter 87 centimeters to centimeters. 1 meter = 1 x 100 = 100 centimeters. Then add the 87 centimeters: 100 + 87 = 187 centimeters. Step 3: Add the two lengths together: 345 centimeters + 187 centimeters = 532 centimeters. The total length of the track is 532 centimeters.

4. 3.25 × 4.8 = ? Answer: 15.6 Solution: Multiply 3.25 × 4.8 as if they were whole numbers: 325 × 48 325 × 40 = 13,000 325 × 8 = 2,600 Add the partial products: 13,000 + 2,600 = 15,600 Count the decimal places: 3.25 has 2 decimal places, 4.8 has 1 decimal place, so total decimal places = 3 Place the decimal point in 15,600 to get…
   Full step-by-step solution

   Step 1: Multiply 3.25 × 4.8 as if they were whole numbers: 325 × 48 Step 2: 325 × 40 = 13,000 Step 3: 325 × 8 = 2,600 Step 4: Add the partial products: 13,000 + 2,600 = 15,600 Step 5: Count the decimal places: 3.25 has 2 decimal places, 4.8 has 1 decimal place, so total decimal places = 3 Step 6: Place the decimal point in 15,600 to get 15.600 Step 7: Remove unnecessary trailing zeros: 15.6 The answer is 15.6.

5. 2.5 × 3.2 = ? Answer: 8 Solution: Write the numbers as fractions. 2.5 = 25/10 3.2 = 32/10 Multiply the fractions. (25/10) × (32/10) = (25 × 32) / (10 × 10) Multiply the numerators.
   Full step-by-step solution

   Let's multiply 2.5 by 3.2 step by step. Step 1: Write the numbers as fractions. 2.5 = 25/10 3.2 = 32/10 Step 2: Multiply the fractions. (25/10) × (32/10) = (25 × 32) / (10 × 10) Step 3: Multiply the numerators. 25 × 32: First, 25 × 30 = 750 Then, 25 × 2 = 50 Add: 750 + 50 = 800 So numerator = 800. Step 4: Multiply the denominators. 10 × 10 = 100 Step 5: Combine numerator and denominator. 800 / 100 Step 6: Simplify the fraction. 800 ÷ 100 = 8 Final answer: 8

6. A rectangular prism has a length of 12 cm, a width of 8 cm, and a height of 5 cm. What is the volume of this rectangular prism? Answer: 480 Solution: To find the volume of a rectangular prism, we use the formula: Volume = length × width × height Identify the given dimensions. Length = 12 cm Width = 8 cm Height = 5 cm Substitute the given numbers into the formula.
   Full step-by-step solution

   To find the volume of a rectangular prism, we use the formula: Volume = length × width × height Step 1: Identify the given dimensions. Length = 12 cm Width = 8 cm Height = 5 cm Step 2: Substitute the given numbers into the formula. Volume = 12 × 8 × 5 Step 3: Perform the multiplication step by step. First, multiply the length and the width: 12 × 8 = 96 Now, multiply this result by the height: 96 × 5 = 480 Step 4: State the final answer with the correct units. The volume is 480 cubic centimeters. Therefore, the volume of the rectangular prism is 480.

7. Emma is baking cookies for a school fundraiser. The recipe calls for 1.25 liters of milk, but her measuring cup only shows milliliters. How many milliliters of milk does Emma need to measure for her cookies? Answer: 1250 milliliters Solution: Identify the conversion factor - 1 liter = 1000 milliliters Multiply the liters by the conversion factor: 1.25 × 1000 Calculate: 1.25 × 1000 = 1250 Include the correct units: 1250 milliliters Emma needs 1250 milliliters of milk for her cookies.
   Full step-by-step solution

   Step 1: Identify the conversion factor - 1 liter = 1000 milliliters Step 2: Multiply the liters by the conversion factor: 1.25 × 1000 Step 3: Calculate: 1.25 × 1000 = 1250 Step 4: Include the correct units: 1250 milliliters Emma needs 1250 milliliters of milk for her cookies.