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Measurement Conversion

Grade 5 · Measurement · Worksheet 3

  1. Liam is building a rectangular garden bed that measures 3.5 meters long and 2.25 meters wide. He needs to buy enough soil to fill the entire garden bed to a depth of 0.4 meters. How many cubic meters of soil should Liam purchase?
    Answer: ______________
  2. A rectangular prism has a length of 15.2 cm, a width of 9.8 cm, and a height of 6.5 cm. If you were to draw this prism and count all the visible edges, what would be the total length of all the edges combined? Answer: ______________
  3. A rectangular prism-shaped shipping container has a length of 2.5 meters, a width of 1.8 meters, and a height of 3.2 meters. What is the volume of the container in cubic centimeters? (Remember: 1 meter = 100 centimeters)
    Answer: ______________
  4. Maya is helping her school organize a science fair. She needs to set up display tables that are each 1.8 meters long. The school has a total of 15 tables that need to be arranged end-to-end along the gym wall. How many centimeters long will the entire row of tables be when they are all placed together? Answer: ______________
  5. 3 yards 1 foot = ? feet Answer: ______________
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Answer Key & Explanations

Measurement Conversion · Grade 5 · Worksheet 3

  1. Liam is building a rectangular garden bed that measures 3.5 meters long and 2.25 meters wide. He needs to buy enough soil to fill the entire garden bed to a depth of 0.4 meters. How many cubic meters of soil should Liam purchase? Answer: 3.15 Solution: To find the volume of soil needed, we calculate the volume of the rectangular garden bed using the formula: Volume = length × width × height (or depth). Write down the given measurements.
    Full step-by-step solution

    To find the volume of soil needed, we calculate the volume of the rectangular garden bed using the formula: Volume = length × width × height (or depth). Step 1: Write down the given measurements. Length = 3.5 meters Width = 2.25 meters Depth = 0.4 meters Step 2: Multiply the length and width first. 3.5 × 2.25 First, 3 × 2.25 = 6.75 Then, 0.5 × 2.25 = 1.125 Add them: 6.75 + 1.125 = 7.875 So, length × width = 7.875 square meters. Step 3: Multiply the result by the depth (0.4 meters). 7.875 × 0.4 0.4 × 7 = 2.8 0.4 × 0.875 = 0.35 Add them: 2.8 + 0.35 = 3.15 Step 4: State the final answer. Liam should purchase 3.15 cubic meters of soil.

  2. A rectangular prism has a length of 15.2 cm, a width of 9.8 cm, and a height of 6.5 cm. If you were to draw this prism and count all the visible edges, what would be the total length of all the edges combined? Answer: 126 cm Solution: Identify the number of each type of edge in a rectangular prism. A rectangular prism has 12 edges total: 4 length edges, 4 width edges, and 4 height edges. Calculate the total length contributed by each type of edge.
    Full step-by-step solution

    Step 1: Identify the number of each type of edge in a rectangular prism. A rectangular prism has 12 edges total: 4 length edges, 4 width edges, and 4 height edges. Step 2: Calculate the total length contributed by each type of edge. Length edges: 4 × 15.2 cm = 60.8 cm Width edges: 4 × 9.8 cm = 39.2 cm Height edges: 4 × 6.5 cm = 26 cm Step 3: Add all the edge lengths together. 60.8 cm + 39.2 cm + 26 cm = 126 cm The answer is 126 cm.

  3. A rectangular prism-shaped shipping container has a length of 2.5 meters, a width of 1.8 meters, and a height of 3.2 meters. What is the volume of the container in cubic centimeters? (Remember: 1 meter = 100 centimeters) Answer: 14400000 cubic centimeters Solution: Find the volume in cubic meters. The container is a rectangular prism, so its volume is length × width × height. Volume in cubic meters = 2.5 m × 1.8 m × 3.2 m.
    Full step-by-step solution

    Step 1: Find the volume in cubic meters. The container is a rectangular prism, so its volume is length × width × height. Volume in cubic meters = 2.5 m × 1.8 m × 3.2 m. Step 2: Multiply step by step. First: 2.5 × 1.8 = 4.5 Then: 4.5 × 3.2 = 14.4 So volume = 14.4 cubic meters. Step 3: Convert meters to centimeters for volume. 1 meter = 100 centimeters. 1 cubic meter = (100 cm) × (100 cm) × (100 cm) = 1,000,000 cubic centimeters. So to convert cubic meters to cubic centimeters, multiply by 1,000,000. Step 4: Apply the conversion. 14.4 cubic meters × 1,000,000 = 14,400,000 cubic centimeters. Step 5: Write the final answer. The volume of the container is 14,400,000 cubic centimeters.

  4. Maya is helping her school organize a science fair. She needs to set up display tables that are each 1.8 meters long. The school has a total of 15 tables that need to be arranged end-to-end along the gym wall. How many centimeters long will the entire row of tables be when they are all placed together? Answer: 2700 centimeters Solution: 15 tables × 1.8 meters per table = 27 meters Since 1 meter = 100 centimeters 27 meters × 100 = 2700 centimeters The entire row of tables will be 2700 centimeters long.
    Full step-by-step solution

    Step 1: Find the total length in meters 15 tables × 1.8 meters per table = 27 meters Step 2: Convert meters to centimeters Since 1 meter = 100 centimeters 27 meters × 100 = 2700 centimeters Step 3: State the final answer The entire row of tables will be 2700 centimeters long.

  5. 3 yards 1 foot = ? feet Answer: 10 feet Solution: Recall that 1 yard = 3 feet. Convert 3 yards to feet: 3 × 3 = 9 feet. Add the extra 1 foot: 9 + 1 = 10 feet.
    Full step-by-step solution

    Step 1: Recall that 1 yard = 3 feet. Step 2: Convert 3 yards to feet: 3 × 3 = 9 feet. Step 3: Add the extra 1 foot: 9 + 1 = 10 feet. The answer is 10 feet.