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Volume with Fractional Edge Lengths — Easy Worksheet 2
Grade 6 · Whoobee 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 = 12 × 5 × 4. Write every factor as a fraction: 12 × 51 × 41. Multiply the numerators: 1 × 5 × 4 = 20. Multiply the denominators: 2 × 1 × 1 = 2. That gives 202. 202 = 20 ÷ 2 = 10. The volume is 10 cubic meters.
✓ Correct!
Not quite. The answer is
💡 V = l × w × h = 12 × 5 × 4. Write every factor as a fraction: 12 × 51 × 41. Multiply the numerators: 1 × 5 × 4 = 20. Multiply the denominators: 2 × 1 × 1 = 2. That gives 202. 202 = 20 ÷ 2 = 10. The volume is 10 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 inches.
✓ 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 centimeter holds 2 cubes that are 12 centimeter long, so an edge holds 2 × its length in cubes. The edges hold 3 12 × 2 = 7, 1 × 2 = 2 and 2 × 2 = 4 cubes. The box needs 7 × 2 × 4 = 56 cubes.
✓ Correct!
Not quite. The answer is
💡 Each centimeter holds 2 cubes that are 12 centimeter long, so an edge holds 2 × its length in cubes. The edges hold 3 12 × 2 = 7, 1 × 2 = 2 and 2 × 2 = 4 cubes. The box needs 7 × 2 × 4 = 56 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 = l × w × h = 1 12 × 5 × 3. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 32 × 51 × 31. Multiply the numerators: 3 × 5 × 3 = 45. Multiply the denominators: 2 × 1 × 1 = 2. That gives 452. 452 is more than 1: 45 ÷ 2 = 22 R 1, so 452 = 22 12. The volume is 22 12 cubic inches.
✓ Correct!
Not quite. The answer is
💡 V = l × w × h = 1 12 × 5 × 3. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 32 × 51 × 31. Multiply the numerators: 3 × 5 × 3 = 45. Multiply the denominators: 2 × 1 × 1 = 2. That gives 452. 452 is more than 1: 45 ÷ 2 = 22 R 1, so 452 = 22 12. The volume is 22 12 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 inches.
✓ 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 centimeters.
✓ 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 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 inches.
✓ 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 × 4 × 2 12. Change mixed numbers to fractions: 2 12 = 52. Write every factor as a fraction: 21 × 41 × 52. Multiply the numerators: 2 × 4 × 5 = 40. Multiply the denominators: 1 × 1 × 2 = 2. That gives 402. 402 = 40 ÷ 2 = 20. The volume is 20 cubic centimeters.
✓ Correct!
Not quite. The answer is
💡 V = l × w × h = 2 × 4 × 2 12. Change mixed numbers to fractions: 2 12 = 52. Write every factor as a fraction: 21 × 41 × 52. Multiply the numerators: 2 × 4 × 5 = 40. Multiply the denominators: 1 × 1 × 2 = 2. That gives 402. 402 = 40 ÷ 2 = 20. The volume is 20 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 inches.
✓ 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 centimeter holds 2 cubes that are 12 centimeter long, so an edge holds 2 × its length in cubes. The edges hold 2 12 × 2 = 5, 1 × 2 = 2 and 2 × 2 = 4 cubes. The box needs 5 × 2 × 4 = 40 cubes.
✓ Correct!
Not quite. The answer is
💡 Each centimeter holds 2 cubes that are 12 centimeter long, so an edge holds 2 × its length in cubes. The edges hold 2 12 × 2 = 5, 1 × 2 = 2 and 2 × 2 = 4 cubes. The box needs 5 × 2 × 4 = 40 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 = B × h = 1 12 × 5. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 32 × 51. Multiply the numerators: 3 × 5 = 15. Multiply the denominators: 2 × 1 = 2. That gives 152. 152 is more than 1: 15 ÷ 2 = 7 R 1, so 152 = 7 12. The volume is 7 12 cubic meters.
✓ Correct!
Not quite. The answer is
💡 V = B × h = 1 12 × 5. Change mixed numbers to fractions: 1 12 = 32. Write every factor as a fraction: 32 × 51. Multiply the numerators: 3 × 5 = 15. Multiply the denominators: 2 × 1 = 2. That gives 152. 152 is more than 1: 15 ÷ 2 = 7 R 1, so 152 = 7 12. The volume is 7 12 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
💡 V = l × w × h = 6 × 6 × 12. Write every factor as a fraction: 61 × 61 × 12. Multiply the numerators: 6 × 6 × 1 = 36. Multiply the denominators: 1 × 1 × 2 = 2. That gives 362. 362 = 36 ÷ 2 = 18. The volume is 18 cubic centimeters.
✓ Correct!
Not quite. The answer is
💡 V = l × w × h = 6 × 6 × 12. Write every factor as a fraction: 61 × 61 × 12. Multiply the numerators: 6 × 6 × 1 = 36. Multiply the denominators: 1 × 1 × 2 = 2. That gives 362. 362 = 36 ÷ 2 = 18. The volume is 18 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 inches.
✓ 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 2
Find each volume or missing length. Write fractions in simplest form, using mixed numbers when needed.