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Volume with Fractional Edge Lengths — Easy Worksheet 1
Grade 6 · MathSheets Name: ____________________ Date: __________
Find each volume or missing length. Write fractions in simplest form, using mixed numbers when needed.
How to solve
Multiply the three edge lengths: V = l × w × h, or V = B × h where B is the area of the base. Change mixed numbers to improper fractions before multiplying, then simplify: 2 12 × 3 × 4 = 52 × 12 = 30. Filling with 12-unit cubes, each edge holds twice as many cubes as its length.
Example
Find the volume of the rectangular prism in cubic meters.
Answer: 13 12
Not quite. The answer is
💡 V = l × w × h = 1 12 × 5 × 4. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 32 × 51 × 41. Multiply the numerators: 3 × 5 × 4 = 60. Multiply the denominators: 2 × 1 × 1 = 2. That gives 602. 602 = 60 ÷ 2 = 30. The volume is 30 cubic centimeters.
✓ Correct!
Not quite. The answer is
💡 V = l × w × h = 1 12 × 5 × 4. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 32 × 51 × 41. Multiply the numerators: 3 × 5 × 4 = 60. Multiply the denominators: 2 × 1 × 1 = 2. That gives 602. 602 = 60 ÷ 2 = 30. The volume is 30 cubic centimeters.
💡 How to solve: Volume with Fractional Edge Lengths
Multiply the three edge lengths: V = l × w × h, or V = B × h where B is the area of the base. Change mixed numbers to improper fractions before multiplying, then simplify: 2 12 × 3 × 4 = 52 × 12 = 30. Filling with 12-unit cubes, each edge holds twice as many cubes as its length.
Try a similar one
Find the volume of the rectangular prism in cubic centimeters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Each meter holds 2 cubes that are 12 meter long, so an edge holds 2 × its length in cubes. The edges hold 2 12 × 2 = 5, 2 × 2 = 4 and 3 × 2 = 6 cubes. The box needs 5 × 4 × 6 = 120 cubes.
✓ Correct!
Not quite. The answer is
💡 Each meter holds 2 cubes that are 12 meter long, so an edge holds 2 × its length in cubes. The edges hold 2 12 × 2 = 5, 2 × 2 = 4 and 3 × 2 = 6 cubes. The box needs 5 × 4 × 6 = 120 cubes.
💡 How to solve: Volume with Fractional Edge Lengths
Multiply the three edge lengths: V = l × w × h, or V = B × h where B is the area of the base. Change mixed numbers to improper fractions before multiplying, then simplify: 2 12 × 3 × 4 = 52 × 12 = 30. Filling with 12-unit cubes, each edge holds twice as many cubes as its length.
Try a similar one
Find the volume of the rectangular prism in cubic meters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 V = l × w × h = 4 × 5 × 1 12. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 41 × 51 × 32. Multiply the numerators: 4 × 5 × 3 = 60. Multiply the denominators: 1 × 1 × 2 = 2. That gives 602. 602 = 60 ÷ 2 = 30. The volume is 30 cubic meters.
✓ Correct!
Not quite. The answer is
💡 V = l × w × h = 4 × 5 × 1 12. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 41 × 51 × 32. Multiply the numerators: 4 × 5 × 3 = 60. Multiply the denominators: 1 × 1 × 2 = 2. That gives 602. 602 = 60 ÷ 2 = 30. The volume is 30 cubic meters.
💡 How to solve: Volume with Fractional Edge Lengths
Multiply the three edge lengths: V = l × w × h, or V = B × h where B is the area of the base. Change mixed numbers to improper fractions before multiplying, then simplify: 2 12 × 3 × 4 = 52 × 12 = 30. Filling with 12-unit cubes, each edge holds twice as many cubes as its length.
Try a similar one
Find the volume of the rectangular prism in cubic centimeters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 All three edges of a cube are equal. V = edge × edge × edge = 1 12 × 1 12 × 1 12. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 32 × 32 × 32. Multiply the numerators: 3 × 3 × 3 = 27. Multiply the denominators: 2 × 2 × 2 = 8. That gives 278. 278 is more than 1: 27 ÷ 8 = 3 R 3, so 278 = 3 38. The volume is 3 38 cubic feet.
✓ Correct!
Not quite. The answer is
💡 All three edges of a cube are equal. V = edge × edge × edge = 1 12 × 1 12 × 1 12. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 32 × 32 × 32. Multiply the numerators: 3 × 3 × 3 = 27. Multiply the denominators: 2 × 2 × 2 = 8. That gives 278. 278 is more than 1: 27 ÷ 8 = 3 R 3, so 278 = 3 38. The volume is 3 38 cubic feet.
💡 How to solve: Volume with Fractional Edge Lengths
Multiply the three edge lengths: V = l × w × h, or V = B × h where B is the area of the base. Change mixed numbers to improper fractions before multiplying, then simplify: 2 12 × 3 × 4 = 52 × 12 = 30. Filling with 12-unit cubes, each edge holds twice as many cubes as its length.
Try a similar one
Find the volume of the rectangular prism in cubic centimeters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 V = l × w × h = 2 × 12 × 2. Write every factor as a fraction: 21 × 12 × 21. Multiply the numerators: 2 × 1 × 2 = 4. Multiply the denominators: 1 × 2 × 1 = 2. That gives 42. 42 = 4 ÷ 2 = 2. The volume is 2 cubic inches.
✓ Correct!
Not quite. The answer is
💡 V = l × w × h = 2 × 12 × 2. Write every factor as a fraction: 21 × 12 × 21. Multiply the numerators: 2 × 1 × 2 = 4. Multiply the denominators: 1 × 2 × 1 = 2. That gives 42. 42 = 4 ÷ 2 = 2. The volume is 2 cubic inches.
💡 How to solve: Volume with Fractional Edge Lengths
Multiply the three edge lengths: V = l × w × h, or V = B × h where B is the area of the base. Change mixed numbers to improper fractions before multiplying, then simplify: 2 12 × 3 × 4 = 52 × 12 = 30. Filling with 12-unit cubes, each edge holds twice as many cubes as its length.
Try a similar one
Find the volume of the rectangular prism in cubic meters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Each foot holds 2 cubes that are 12 foot long, so an edge holds 2 × its length in cubes. The edges hold 3 × 2 = 6, 3 × 2 = 6 and 1 12 × 2 = 3 cubes. The box needs 6 × 6 × 3 = 108 cubes.
✓ Correct!
Not quite. The answer is
💡 Each foot holds 2 cubes that are 12 foot long, so an edge holds 2 × its length in cubes. The edges hold 3 × 2 = 6, 3 × 2 = 6 and 1 12 × 2 = 3 cubes. The box needs 6 × 6 × 3 = 108 cubes.
💡 How to solve: Volume with Fractional Edge Lengths
Multiply the three edge lengths: V = l × w × h, or V = B × h where B is the area of the base. Change mixed numbers to improper fractions before multiplying, then simplify: 2 12 × 3 × 4 = 52 × 12 = 30. Filling with 12-unit cubes, each edge holds twice as many cubes as its length.
Try a similar one
Find the volume of the rectangular prism in cubic centimeters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 V = B × h = 4 34 × 5. Change mixed numbers to fractions: 4 34 = 194. Write every factor as a fraction: 194 × 51. Multiply the numerators: 19 × 5 = 95. Multiply the denominators: 4 × 1 = 4. That gives 954. 954 is more than 1: 95 ÷ 4 = 23 R 3, so 954 = 23 34. The volume is 23 34 cubic feet.
✓ Correct!
Not quite. The answer is
💡 V = B × h = 4 34 × 5. Change mixed numbers to fractions: 4 34 = 194. Write every factor as a fraction: 194 × 51. Multiply the numerators: 19 × 5 = 95. Multiply the denominators: 4 × 1 = 4. That gives 954. 954 is more than 1: 95 ÷ 4 = 23 R 3, so 954 = 23 34. The volume is 23 34 cubic feet.
💡 How to solve: Volume with Fractional Edge Lengths
Multiply the three edge lengths: V = l × w × h, or V = B × h where B is the area of the base. Change mixed numbers to improper fractions before multiplying, then simplify: 2 12 × 3 × 4 = 52 × 12 = 30. Filling with 12-unit cubes, each edge holds twice as many cubes as its length.
Try a similar one
Find the volume of the rectangular prism in cubic meters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 V = l × w × h = 12 × 2 × 4. Write every factor as a fraction: 12 × 21 × 41. Multiply the numerators: 1 × 2 × 4 = 8. Multiply the denominators: 2 × 1 × 1 = 2. That gives 82. 82 = 8 ÷ 2 = 4. The volume is 4 cubic meters.
✓ Correct!
Not quite. The answer is
💡 V = l × w × h = 12 × 2 × 4. Write every factor as a fraction: 12 × 21 × 41. Multiply the numerators: 1 × 2 × 4 = 8. Multiply the denominators: 2 × 1 × 1 = 2. That gives 82. 82 = 8 ÷ 2 = 4. The volume is 4 cubic meters.
💡 How to solve: Volume with Fractional Edge Lengths
Multiply the three edge lengths: V = l × w × h, or V = B × h where B is the area of the base. Change mixed numbers to improper fractions before multiplying, then simplify: 2 12 × 3 × 4 = 52 × 12 = 30. Filling with 12-unit cubes, each edge holds twice as many cubes as its length.
Try a similar one
Find the volume of the rectangular prism in cubic meters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Volume with Fractional Edge Lengths — Easy Worksheet 1
Find each volume or missing length. Write fractions in simplest form, using mixed numbers when needed.