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Measurement Conversion

Grade 5 · Measurement · Worksheet 1

  1. Aroha is preparing traditional woven flax baskets for a school cultural festival. She has a long strip of flax that measures 3 meters 75 centimeters. She needs to cut the strip into smaller pieces that are each 15 centimeters long to weave the basket rims. How many smaller pieces can Aroha cut from the flax strip? Answer: ______________
  2. Liam is building a rectangular planter box for his garden. The box measures 1.5 meters long, 0.8 meters wide, and 0.6 meters high. He needs to fill it with soil, but the soil is sold in bags that contain 0.072 cubic meters each. How many bags of soil does Liam need to completely fill his planter box? Answer: ______________
  3. Liam is building a rectangular planter box for his garden. The box measures 1.5 meters in length, 0.8 meters in width, and 0.6 meters in height. He needs to fill it with soil. How many cubic meters of soil will Liam need to completely fill the planter box? Answer: ______________
  4. Liam is building a wooden planter box for his garden. The box needs to be 1.8 meters long, but the lumber store sells boards by the centimeter. How many centimeters long should Liam cut the board for his planter box? Answer: ______________
  5. 2.75 × 4.8 = ? Answer: ______________
  6. Liam is building a rectangular planter box for his garden. The box measures 2.5 meters in length, 1.2 meters in width, and 0.8 meters in height. He needs to fill it with soil. How many cubic meters of soil does Liam need to completely fill the planter box? Answer: ______________
  7. 8 yards 2 feet = __ feet Answer: ______________
  8. Mason is helping his grandmother sew a quilt. The pattern calls for a strip of fabric that is 3 meters 75 centimeters long. The fabric store only sells ribbon in centimeters. How many centimeters of ribbon does Mason need to buy? Answer: ______________
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Answer Key & Explanations

Measurement Conversion · Grade 5 · Worksheet 1

  1. Aroha is preparing traditional woven flax baskets for a school cultural festival. She has a long strip of flax that measures 3 meters 75 centimeters. She needs to cut the strip into smaller pieces that are each 15 centimeters long to weave the basket rims. How many smaller pieces can Aroha cut from the flax strip? Answer: 25 pieces Solution: The total length is 3 meters 75 centimeters. Convert everything to centimeters. Remember: 1 meter = 100 centimeters.
    Full step-by-step solution

    Step 1: The total length is 3 meters 75 centimeters. Convert everything to centimeters. Remember: 1 meter = 100 centimeters. Step 2: 3 meters = 3 x 100 = 300 centimeters. Step 3: Add the extra 75 centimeters: 300 + 75 = 375 centimeters total. Step 4: Each small piece is 15 centimeters. Divide the total length by the piece length: 375 / 15. Step 5: Calculate: 15 x 25 = 375, so 375 / 15 = 25. Step 6: Therefore, Aroha can cut 25 smaller pieces from the flax strip. The answer is 25 pieces.

  2. Liam is building a rectangular planter box for his garden. The box measures 1.5 meters long, 0.8 meters wide, and 0.6 meters high. He needs to fill it with soil, but the soil is sold in bags that contain 0.072 cubic meters each. How many bags of soil does Liam need to completely fill his planter box? Answer: 10 Solution: Find the volume of the planter box. The box is a rectangular prism, so volume = length × width × height. Volume = 1.5 m × 0.8 m × 0.6 m.
    Full step-by-step solution

    Step 1: Find the volume of the planter box. The box is a rectangular prism, so volume = length × width × height. Volume = 1.5 m × 0.8 m × 0.6 m. Step 2: Multiply step by step. First: 1.5 × 0.8 = 1.2 Then: 1.2 × 0.6 = 0.72 So the volume of the box is 0.72 cubic meters. Step 3: Determine how many bags of soil are needed. Each bag contains 0.072 cubic meters of soil. Number of bags = (Volume of box) ÷ (Volume per bag) Number of bags = 0.72 ÷ 0.072. Step 4: Perform the division. 0.72 ÷ 0.072 = 72/100 ÷ 72/1000 That is the same as (0.72) × (1 / 0.072) = (0.72) × (1000 / 72). But easier: 0.072 × 10 = 0.72, so 0.72 ÷ 0.072 = 10. Step 5: Conclusion. Liam needs 10 bags of soil to completely fill the planter box.

  3. Liam is building a rectangular planter box for his garden. The box measures 1.5 meters in length, 0.8 meters in width, and 0.6 meters in height. He needs to fill it with soil. How many cubic meters of soil will Liam need to completely fill the planter box? Answer: 0.72 Solution: To find the amount of soil needed to fill the planter box, we need to calculate its volume. The box is a rectangular prism, so we use the formula: Volume = length × width × height Write down the given measurements.
    Full step-by-step solution

    To find the amount of soil needed to fill the planter box, we need to calculate its volume. The box is a rectangular prism, so we use the formula: Volume = length × width × height Step 1: Write down the given measurements. Length = 1.5 meters Width = 0.8 meters Height = 0.6 meters Step 2: Multiply the length and the width first. 1.5 × 0.8 = 1.2 Step 3: Multiply the result from Step 2 by the height. 1.2 × 0.6 = 0.72 Step 4: State the final answer with the correct unit. The volume of the box is 0.72 cubic meters. Therefore, Liam will need 0.72 cubic meters of soil to completely fill the planter box.

  4. Liam is building a wooden planter box for his garden. The box needs to be 1.8 meters long, but the lumber store sells boards by the centimeter. How many centimeters long should Liam cut the board for his planter box? Answer: 180 Solution: We know the box needs to be 1.8 meters long, but we must convert meters to centimeters because the lumber store sells boards in centimeters. Recall the conversion between meters and centimeters.
    Full step-by-step solution

    Step 1: Understand the problem. We know the box needs to be 1.8 meters long, but we must convert meters to centimeters because the lumber store sells boards in centimeters. Step 2: Recall the conversion between meters and centimeters. 1 meter = 100 centimeters. Step 3: Multiply the length in meters by the number of centimeters in one meter. Length in centimeters = 1.8 × 100 Step 4: Perform the multiplication. 1.8 × 100 = 180 Step 5: State the final answer. Liam should cut the board to 180 centimeters long.

  5. 2.75 × 4.8 = ? Answer: 13.2 Solution: Multiply 2.75 × 4.8 as if they were whole numbers: 275 × 48 275 × 40 = 11,000 275 × 8 = 2,200 Add the partial products: 11,000 + 2,200 = 13,200 Count the decimal places: 2.75 has 2 decimal places, 4.8 has 1 decimal place, so total of 3 decimal places Place the decimal point in 13,200 to get…
    Full step-by-step solution

    Step 1: Multiply 2.75 × 4.8 as if they were whole numbers: 275 × 48 Step 2: 275 × 40 = 11,000 Step 3: 275 × 8 = 2,200 Step 4: Add the partial products: 11,000 + 2,200 = 13,200 Step 5: Count the decimal places: 2.75 has 2 decimal places, 4.8 has 1 decimal place, so total of 3 decimal places Step 6: Place the decimal point in 13,200 to get 13.200 Step 7: Simplify: 13.200 = 13.2 The answer is 13.2.

  6. Liam is building a rectangular planter box for his garden. The box measures 2.5 meters in length, 1.2 meters in width, and 0.8 meters in height. He needs to fill it with soil. How many cubic meters of soil does Liam need to completely fill the planter box? Answer: 2.4 Solution: To find the amount of soil needed to fill the planter box, we need to calculate its volume. The box is a rectangular prism, so we use the formula: Volume = Length × Width × Height Write down the given measurements.
    Full step-by-step solution

    To find the amount of soil needed to fill the planter box, we need to calculate its volume. The box is a rectangular prism, so we use the formula: Volume = Length × Width × Height Step 1: Write down the given measurements. Length = 2.5 meters Width = 1.2 meters Height = 0.8 meters Step 2: Multiply the length and width first. 2.5 × 1.2 = 3.0 Step 3: Multiply that result by the height. 3.0 × 0.8 = 2.4 Step 4: Interpret the result. The volume is 2.4 cubic meters. So, Liam needs 2.4 cubic meters of soil to fill the planter box completely.

  7. 8 yards 2 feet = __ feet Answer: 26 feet Solution: Recall that 1 yard = 3 feet. Convert 8 yards to feet: 8 × 3 = 24 feet. Add the extra 2 feet: 24 + 2 = 26 feet.
    Full step-by-step solution

    Step 1: Recall that 1 yard = 3 feet. Step 2: Convert 8 yards to feet: 8 × 3 = 24 feet. Step 3: Add the extra 2 feet: 24 + 2 = 26 feet. The answer is 26 feet.

  8. Mason is helping his grandmother sew a quilt. The pattern calls for a strip of fabric that is 3 meters 75 centimeters long. The fabric store only sells ribbon in centimeters. How many centimeters of ribbon does Mason need to buy? Answer: 375 centimeters Solution: Know the conversion: 1 meter = 100 centimeters. Convert the 3 meters to centimeters: 3 × 100 = 300 centimeters. Add the additional 75 centimeters: 300 + 75 = 375 centimeters.
    Full step-by-step solution

    Step 1: Know the conversion: 1 meter = 100 centimeters. Step 2: Convert the 3 meters to centimeters: 3 × 100 = 300 centimeters. Step 3: Add the additional 75 centimeters: 300 + 75 = 375 centimeters. Step 4: Mason needs 375 centimeters of ribbon. Answer: 375 centimeters