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Raised Bed Soil worksheet

Grades 7–8 · CCSS 7.G.B.6, 8.G.C.9

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Units: Metric (meters, cm, liter bags)
    • Bed or container shape: Rectangular
    • Inside length: 3.4 m
    • Inside width: 1.3 m
    • Soil depth: 26 cm
    • Bag size: 40 L
    • Number of identical beds or containers: 1
    • Extra for settling: 9%

    Find: Soil to buy

  2. Problem 2.
    • Units: US (feet, inches, ft³ bags)
    • Bed or container shape: Rectangular
    • Inside length: 9 ft
    • Inside width: 5 ft
    • Soil depth: 11 in
    • Bag size: 1.2 ft³
    • Number of identical beds or containers: 1
    • Extra for settling: 11%

    Find: Soil to buy

  3. Problem 3.
    • Units: Metric (meters, cm, liter bags)
    • Bed or container shape: Rectangular
    • Inside length: 2.8 m
    • Inside width: 1.6 m
    • Soil depth: 26 cm
    • Bag size: 65 L
    • Number of identical beds or containers: 1
    • Extra for settling: 10%

    Find: Soil to buy

  4. Problem 4.
    • Units: US (feet, inches, ft³ bags)
    • Bed or container shape: Rectangular
    • Inside length: 9 ft
    • Inside width: 5 ft
    • Soil depth: 12 in
    • Bag size: 1.5 ft³
    • Number of identical beds or containers: 1
    • Extra for settling: 9%

    Find: Soil to buy

  5. Problem 5.
    • Units: US (feet, inches, ft³ bags)
    • Bed or container shape: Round
    • Inside diameter: 4 ft
    • Soil depth: 7 in
    • Bag size: 1.7 ft³
    • Number of identical beds or containers: 2
    • Extra for settling: 7%

    Find: Soil to buy

  6. Problem 6.
    • Units: Metric (meters, cm, liter bags)
    • Bed or container shape: Rectangular
    • Inside length: 3 m
    • Inside width: 1.2 m
    • Soil depth: 22 cm
    • Bag size: 49 L
    • Number of identical beds or containers: 1
    • Extra for settling: 9%

    Find: Soil to buy

  7. Problem 7.
    • Units: Metric (meters, cm, liter bags)
    • Bed or container shape: Rectangular
    • Inside length: 2.2 m
    • Inside width: 1.3 m
    • Soil depth: 28 cm
    • Bag size: 58 L
    • Number of identical beds or containers: 1
    • Extra for settling: 11%

    Find: Soil to buy

  8. Problem 8.
    • Units: US (feet, inches, ft³ bags)
    • Bed or container shape: Round
    • Inside diameter: 3 ft
    • Soil depth: 13 in
    • Bag size: 1.2 ft³
    • Number of identical beds or containers: 1
    • Extra for settling: 12%

    Find: Soil to buy

  9. Problem 9.
    • Units: Metric (meters, cm, liter bags)
    • Bed or container shape: Rectangular
    • Inside length: 2.4 m
    • Inside width: 1.1 m
    • Soil depth: 27 cm
    • Bag size: 40 L
    • Number of identical beds or containers: 1
    • Extra for settling: 11%

    Find: Soil to buy

  10. Problem 10.
    • Units: Metric (meters, cm, liter bags)
    • Bed or container shape: Round
    • Inside diameter: 1 m
    • Soil depth: 28 cm
    • Bag size: 34 L
    • Number of identical beds or containers: 1
    • Extra for settling: 12%

    Find: Soil to buy

Answer key: Raised Bed Soil worksheet

  1. 1. Soil to buy: 1,252.63 L

    1. Area inside the bed = length × width

      3.4×1.3=4.42 m²
    2. Volume of one bed = area × depth (cm ÷ 100 gives meters)

      4.42×26100=1.1492 m³
    3. Multiply by the number of beds and convert to liters (1,000 L per m³)

      1.1492×1×1,000=1,149.2 L
    4. Add 9% for settling

      1,149.2×1+0.09=1,252.628 L
    5. Divide by the bag size, then round up to whole bags

      1,252.62840=31.3157=round up → 32
  2. 2. Soil to buy: 45.79 ft³

    1. Area inside the bed = length × width

      9×5=45 ft²
    2. Volume of one bed = area × depth (inches ÷ 12 gives feet)

      45×1112=41.25 ft³
    3. Multiply by the number of beds

      41.25×1=41.25 ft³
    4. Add 11% for settling

      41.25×1+0.11=45.7875 ft³
    5. Convert to cubic yards for a bulk order (27 ft³ in 1 yd³)

      45.787527=1.695833 yd³
    6. Divide by the bag size, then round up to whole bags

      45.78751.2=38.15625=round up → 39
  3. 3. Soil to buy: 1,281.28 L

    1. Area inside the bed = length × width

      2.8×1.6=4.48 m²
    2. Volume of one bed = area × depth (cm ÷ 100 gives meters)

      4.48×26100=1.1648 m³
    3. Multiply by the number of beds and convert to liters (1,000 L per m³)

      1.1648×1×1,000=1,164.8 L
    4. Add 10% for settling

      1,164.8×1+0.1=1,281.28 L
    5. Divide by the bag size, then round up to whole bags

      1,281.2865=19.712=round up → 20
  4. 4. Soil to buy: 49.05 ft³

    1. Area inside the bed = length × width

      9×5=45 ft²
    2. Volume of one bed = area × depth (inches ÷ 12 gives feet)

      45×1212=45 ft³
    3. Multiply by the number of beds

      45×1=45 ft³
    4. Add 9% for settling

      45×1+0.09=49.05 ft³
    5. Convert to cubic yards for a bulk order (27 ft³ in 1 yd³)

      49.0527=1.816667 yd³
    6. Divide by the bag size, then round up to whole bags

      49.051.5=32.7=round up → 33
  5. 5. Soil to buy: 15.69 ft³

    1. Area of a round bed = π × (diameter ÷ 2)²

      π×(42)2=12.566371 ft²
    2. Volume of one bed = area × depth (inches ÷ 12 gives feet)

      12.566371×712=7.330383 ft³
    3. Multiply by the number of beds

      7.330383×2=14.660766 ft³
    4. Add 7% for settling

      14.660766×1+0.07=15.687019 ft³
    5. Convert to cubic yards for a bulk order (27 ft³ in 1 yd³)

      15.68701927=0.581001 yd³
    6. Divide by the bag size, then round up to whole bags

      15.6870191.7=9.227658=round up → 10
  6. 6. Soil to buy: 863.28 L

    1. Area inside the bed = length × width

      3×1.2=3.6 m²
    2. Volume of one bed = area × depth (cm ÷ 100 gives meters)

      3.6×22100=0.792 m³
    3. Multiply by the number of beds and convert to liters (1,000 L per m³)

      0.792×1×1,000=792 L
    4. Add 9% for settling

      792×1+0.09=863.28 L
    5. Divide by the bag size, then round up to whole bags

      863.2849=17.617959=round up → 18
  7. 7. Soil to buy: 888.89 L

    1. Area inside the bed = length × width

      2.2×1.3=2.86 m²
    2. Volume of one bed = area × depth (cm ÷ 100 gives meters)

      2.86×28100=0.8008 m³
    3. Multiply by the number of beds and convert to liters (1,000 L per m³)

      0.8008×1×1,000=800.8 L
    4. Add 11% for settling

      800.8×1+0.11=888.888 L
    5. Divide by the bag size, then round up to whole bags

      888.88858=15.325655=round up → 16
  8. 8. Soil to buy: 8.58 ft³

    1. Area of a round bed = π × (diameter ÷ 2)²

      π×(32)2=7.068583 ft²
    2. Volume of one bed = area × depth (inches ÷ 12 gives feet)

      7.068583×1312=7.657632 ft³
    3. Multiply by the number of beds

      7.657632×1=7.657632 ft³
    4. Add 12% for settling

      7.657632×1+0.12=8.576548 ft³
    5. Convert to cubic yards for a bulk order (27 ft³ in 1 yd³)

      8.57654827=0.31765 yd³
    6. Divide by the bag size, then round up to whole bags

      8.5765481.2=7.147123=round up → 8
  9. 9. Soil to buy: 791.21 L

    1. Area inside the bed = length × width

      2.4×1.1=2.64 m²
    2. Volume of one bed = area × depth (cm ÷ 100 gives meters)

      2.64×27100=0.7128 m³
    3. Multiply by the number of beds and convert to liters (1,000 L per m³)

      0.7128×1×1,000=712.8 L
    4. Add 11% for settling

      712.8×1+0.11=791.208 L
    5. Divide by the bag size, then round up to whole bags

      791.20840=19.7802=round up → 20
  10. 10. Soil to buy: 246.3 L

    1. Area of a round bed = π × (diameter ÷ 2)²

      π×(12)2=0.785398 m²
    2. Volume of one bed = area × depth (cm ÷ 100 gives meters)

      0.785398×28100=0.219911 m³
    3. Multiply by the number of beds and convert to liters (1,000 L per m³)

      0.219911×1×1,000=219.911486 L
    4. Add 12% for settling

      219.911486×1+0.12=246.300864 L
    5. Divide by the bag size, then round up to whole bags

      246.30086434=7.244143=round up → 8