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Measurement Conversion

Grade 5 · Measurement · Worksheet 2

  1. A rectangular prism-shaped shipping box has a length of 15.6 cm, a width of 9.8 cm, and a height of 12.4 cm. What is the volume of this box in cubic centimeters?
    Answer: ______________
  2. Liam is building a rectangular planter box for his garden. The box measures 2.5 meters long, 1.2 meters wide, and 0.8 meters high. He needs to fill it with soil, but the soil is sold in bags measured in cubic decimeters. How many cubic decimeters 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 2.5 meters long, 1.2 meters wide, and 0.8 meters deep. He needs to fill it with soil. How many cubic meters of soil does Liam need to completely fill the planter box? Answer: ______________
  4. Liam is building a rectangular planter box for his garden. The box measures 2.5 meters long, 1.2 meters wide, and 0.8 meters high. He needs to fill it with soil. How many cubic meters of soil does Liam need to completely fill the planter box? Answer: ______________
  5. 2.5 × 4.2 = ? Answer: ______________
  6. 8 km 750 m = __ m Answer: ______________
  7. A farmer needs to fill a rectangular grain bin with dimensions 8.5 meters long, 6.2 meters wide, and 4.75 meters high. What is the volume of the grain bin in cubic meters? Answer: ______________
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Answer Key & Explanations

Measurement Conversion · Grade 5 · Worksheet 2

  1. A rectangular prism-shaped shipping box has a length of 15.6 cm, a width of 9.8 cm, and a height of 12.4 cm. What is the volume of this box in cubic centimeters? Answer: 1895.712 Solution: Write the formula for volume of a rectangular prism: Volume = length × width × height Substitute the given values: Volume = 15.6 cm × 9.8 cm × 12.4 cm First multiply 15.6 × 9.8 = 152.88 Then multiply 152.88 × 12.4 = 1895.712 Include the units: 1895.712 cubic centimeters The answer is 1895.712.
    Full step-by-step solution

    Step 1: Write the formula for volume of a rectangular prism: Volume = length × width × height Step 2: Substitute the given values: Volume = 15.6 cm × 9.8 cm × 12.4 cm Step 3: First multiply 15.6 × 9.8 = 152.88 Step 4: Then multiply 152.88 × 12.4 = 1895.712 Step 5: Include the units: 1895.712 cubic centimeters The answer is 1895.712.

  2. Liam is building a rectangular planter box for his garden. The box measures 2.5 meters long, 1.2 meters wide, and 0.8 meters high. He needs to fill it with soil, but the soil is sold in bags measured in cubic decimeters. How many cubic decimeters of soil does Liam need to completely fill his planter box? Answer: 2400 Solution: First, find the volume of the planter box in cubic meters. Volume = length × width × height Volume = 2.5 m × 1.2 m × 0.8 m First, 2.5 × 1.2 = 3.0 Then, 3.0 × 0.8 = 2.4 So, the volume is 2.4 cubic meters.
    Full step-by-step solution

    First, find the volume of the planter box in cubic meters. The box is a rectangular prism, so: Volume = length × width × height Volume = 2.5 m × 1.2 m × 0.8 m Multiply step by step: First, 2.5 × 1.2 = 3.0 Then, 3.0 × 0.8 = 2.4 So, the volume is 2.4 cubic meters. Now, we need to convert cubic meters to cubic decimeters. We know that 1 meter = 10 decimeters. Therefore, 1 cubic meter = (10 dm) × (10 dm) × (10 dm) = 1000 cubic decimeters. So, to convert 2.4 cubic meters to cubic decimeters, multiply by 1000: 2.4 × 1000 = 2400 Therefore, Liam needs 2400 cubic decimeters of soil to fill the planter box.

  3. Liam is building a rectangular planter box for his garden. The box measures 2.5 meters long, 1.2 meters wide, and 0.8 meters deep. 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 the formula for volume is: Volume = Length × Width × Height Length = 2.5 meters Width = 1.2 meters Height (depth) = 0.8 meters Multiply the length and width.
    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 the formula for volume is: Volume = Length × Width × Height Here: Length = 2.5 meters Width = 1.2 meters Height (depth) = 0.8 meters Step 1: Multiply the length and width. 2.5 × 1.2 = 3.0 Step 2: Multiply the result by the height (depth). 3.0 × 0.8 = 2.4 So, the volume is 2.4 cubic meters. This means Liam needs 2.4 cubic meters of soil to completely fill the planter box.

  4. Liam is building a rectangular planter box for his garden. The box measures 2.5 meters long, 1.2 meters wide, and 0.8 meters high. 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 the volume is found by multiplying its length, width, and height. Length = 2.5 meters Width = 1.2 meters Height = 0.8 meters 2.5 × 1.2 = 3.0 3.0 × 0.8 = 2.4 The volume…
    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 the volume is found by multiplying its length, width, and height. Step 1: Write down the dimensions Length = 2.5 meters Width = 1.2 meters Height = 0.8 meters Step 2: Multiply length and width first 2.5 × 1.2 = 3.0 Step 3: Multiply the 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 completely fill the planter box.

  5. 2.5 × 4.2 = ? Answer: 10.5 Solution: Write the numbers without decimals. 2.5 is the same as 25/10, and 4.2 is the same as 42/10. So 2.5 × 4.2 = (25/10) × (42/10).
    Full step-by-step solution

    Let's multiply 2.5 × 4.2 step by step. Step 1: Write the numbers without decimals. 2.5 is the same as 25/10, and 4.2 is the same as 42/10. So 2.5 × 4.2 = (25/10) × (42/10). Step 2: Multiply the numerators: 25 × 42. First, 25 × 40 = 1000. Then, 25 × 2 = 50. Add: 1000 + 50 = 1050. So numerator = 1050. Step 3: Multiply the denominators: 10 × 10 = 100. So we have 1050 / 100. Step 4: Simplify 1050 / 100. Dividing 1050 by 100 means moving the decimal point two places to the left: 1050.0 → 10.50. Step 5: Final answer: 10.5. Thus, 2.5 × 4.2 = 10.5.

  6. 8 km 750 m = __ m Answer: 8750 Solution: Recall that 1 km = 1000 m. Convert 8 km to meters: 8 × 1000 = 8000 m. Add the extra 750 m: 8000 + 750 = 8750 m.
    Full step-by-step solution

    Step 1: Recall that 1 km = 1000 m. Step 2: Convert 8 km to meters: 8 × 1000 = 8000 m. Step 3: Add the extra 750 m: 8000 + 750 = 8750 m. The answer is 8750.

  7. A farmer needs to fill a rectangular grain bin with dimensions 8.5 meters long, 6.2 meters wide, and 4.75 meters high. What is the volume of the grain bin in cubic meters? Answer: 250.325 cubic meters Solution: Write the volume formula for a rectangular prism: Volume = length × width × height Substitute the given values: Volume = 8.5 × 6.2 × 4.75 First multiply 8.5 × 6.2 = 52.7 Then multiply 52.7 × 4.75 Calculate 52.7 × 4 = 210.8 Calculate 52.7 × 0.7 = 36.89 Calculate 52.7 × 0.05 = 2.635 Add the…
    Full step-by-step solution

    Step 1: Write the volume formula for a rectangular prism: Volume = length × width × height Step 2: Substitute the given values: Volume = 8.5 × 6.2 × 4.75 Step 3: First multiply 8.5 × 6.2 = 52.7 Step 4: Then multiply 52.7 × 4.75 Step 5: Calculate 52.7 × 4 = 210.8 Step 6: Calculate 52.7 × 0.7 = 36.89 Step 7: Calculate 52.7 × 0.05 = 2.635 Step 8: Add the results: 210.8 + 36.89 + 2.635 = 250.325 Step 9: Include the units: 250.325 cubic meters The answer is 250.325 cubic meters.