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Concrete Block worksheet

Grades 6–7 · CCSS 7.G.B.6

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

  1. Problem 1.
    • Units: Metric (meters, mm)
    • Wall length: 9 m
    • Wall height: 2.6 m
    • Area of doors and windows: 1.8 m²
    • Block length (nominal): 300 mm
    • Block height (nominal): 180 mm
    • Extra for breakage and cuts: 4%
    • Mortar bags per 100 blocks: 3 bags

    Find: Blocks to buy

  2. Problem 2.
    • Units: Metric (meters, mm)
    • Wall length: 10 m
    • Wall height: 2.8 m
    • Area of doors and windows: 1.2 m²
    • Block length (nominal): 390 mm
    • Block height (nominal): 160 mm
    • Extra for breakage and cuts: 6%
    • Mortar bags per 100 blocks: 4 bags

    Find: Blocks to buy

  3. Problem 3.
    • Units: Metric (meters, mm)
    • Wall length: 13 m
    • Wall height: 2.2 m
    • Area of doors and windows: 1.9 m²
    • Block length (nominal): 450 mm
    • Block height (nominal): 145 mm
    • Extra for breakage and cuts: 5%
    • Mortar bags per 100 blocks: 3 bags

    Find: Blocks to buy

  4. Problem 4.
    • Units: US (feet, inches)
    • Wall length: 30 ft
    • Wall height: 8 ft
    • Area of doors and windows: 10 ft²
    • Block length (nominal): 15 in
    • Block height (nominal): 7 in
    • Extra for breakage and cuts: 6%
    • Mortar bags per 100 blocks: 3 bags

    Find: Blocks to buy

  5. Problem 5.
    • Units: Metric (meters, mm)
    • Wall length: 8 m
    • Wall height: 2.1 m
    • Area of doors and windows: 1.4 m²
    • Block length (nominal): 500 mm
    • Block height (nominal): 190 mm
    • Extra for breakage and cuts: 5%
    • Mortar bags per 100 blocks: 2 bags

    Find: Blocks to buy

  6. Problem 6.
    • Units: Metric (meters, mm)
    • Wall length: 7 m
    • Wall height: 2.6 m
    • Area of doors and windows: 1.4 m²
    • Block length (nominal): 420 mm
    • Block height (nominal): 190 mm
    • Extra for breakage and cuts: 6%
    • Mortar bags per 100 blocks: 2 bags

    Find: Blocks to buy

  7. Problem 7.
    • Units: Metric (meters, mm)
    • Wall length: 9 m
    • Wall height: 2.6 m
    • Area of doors and windows: 1.5 m²
    • Block length (nominal): 250 mm
    • Block height (nominal): 160 mm
    • Extra for breakage and cuts: 5%
    • Mortar bags per 100 blocks: 2 bags

    Find: Blocks to buy

  8. Problem 8.
    • Units: Metric (meters, mm)
    • Wall length: 9 m
    • Wall height: 2.8 m
    • Area of doors and windows: 1.2 m²
    • Block length (nominal): 390 mm
    • Block height (nominal): 130 mm
    • Extra for breakage and cuts: 6%
    • Mortar bags per 100 blocks: 3 bags

    Find: Blocks to buy

  9. Problem 9.
    • Units: US (feet, inches)
    • Wall length: 36 ft
    • Wall height: 6 ft
    • Area of doors and windows: 13 ft²
    • Block length (nominal): 20 in
    • Block height (nominal): 8 in
    • Extra for breakage and cuts: 4%
    • Mortar bags per 100 blocks: 3 bags

    Find: Blocks to buy

  10. Problem 10.
    • Units: Metric (meters, mm)
    • Wall length: 11 m
    • Wall height: 1.8 m
    • Area of doors and windows: 1.4 m²
    • Block length (nominal): 360 mm
    • Block height (nominal): 160 mm
    • Extra for breakage and cuts: 4%
    • Mortar bags per 100 blocks: 3 bags

    Find: Blocks to buy

Answer key: Concrete Block worksheet

  1. 1. Blocks to buy: 416 blocks

    1. Gross wall area = length × height

      9×2.6=23.4 m²
    2. Net wall area = gross area − openings

      23.4−1.8=21.6 m²
    3. Face area of one block = nominal length × height (mm² ÷ 1,000,000 gives m²)

      300×1801,000,000=0.054 m²
    4. Blocks in the wall = net area ÷ block face area

      21.60.054=400 blocks
    5. Add 4% for breakage and cuts, then round up to whole blocks

      400×1+0.04=416=rounded up:416
    6. Mortar = blocks laid × 3 bags per 100 blocks, rounded up

      400×3100=12=rounded up:12
  2. 2. Blocks to buy: 456 blocks

    1. Gross wall area = length × height

      10×2.8=28 m²
    2. Net wall area = gross area − openings

      28−1.2=26.8 m²
    3. Face area of one block = nominal length × height (mm² ÷ 1,000,000 gives m²)

      390×1601,000,000=0.0624 m²
    4. Blocks in the wall = net area ÷ block face area

      26.80.0624=429.487179 blocks
    5. Add 6% for breakage and cuts, then round up to whole blocks

      429.487179×1+0.06=455.2564=rounded up:456
    6. Mortar = blocks laid × 4 bags per 100 blocks, rounded up

      429.487179×4100=17.1795=rounded up:18
  3. 3. Blocks to buy: 430 blocks

    1. Gross wall area = length × height

      13×2.2=28.6 m²
    2. Net wall area = gross area − openings

      28.6−1.9=26.7 m²
    3. Face area of one block = nominal length × height (mm² ÷ 1,000,000 gives m²)

      450×1451,000,000=0.06525 m²
    4. Blocks in the wall = net area ÷ block face area

      26.70.06525=409.195402 blocks
    5. Add 5% for breakage and cuts, then round up to whole blocks

      409.195402×1+0.05=429.6552=rounded up:430
    6. Mortar = blocks laid × 3 bags per 100 blocks, rounded up

      409.195402×3100=12.2759=rounded up:13
  4. 4. Blocks to buy: 335 blocks

    1. Gross wall area = length × height

      30×8=240 ft²
    2. Net wall area = gross area − openings

      240−10=230 ft²
    3. Face area of one block = nominal length × height (in² ÷ 144 gives ft²)

      15×7144=0.729167 ft²
    4. Blocks in the wall = net area ÷ block face area

      2300.729167=315.428571 blocks
    5. Add 6% for breakage and cuts, then round up to whole blocks

      315.428571×1+0.06=334.3543=rounded up:335
    6. Mortar = blocks laid × 3 bags per 100 blocks, rounded up

      315.428571×3100=9.4629=rounded up:10
  5. 5. Blocks to buy: 171 blocks

    1. Gross wall area = length × height

      8×2.1=16.8 m²
    2. Net wall area = gross area − openings

      16.8−1.4=15.4 m²
    3. Face area of one block = nominal length × height (mm² ÷ 1,000,000 gives m²)

      500×1901,000,000=0.095 m²
    4. Blocks in the wall = net area ÷ block face area

      15.40.095=162.105263 blocks
    5. Add 5% for breakage and cuts, then round up to whole blocks

      162.105263×1+0.05=170.2105=rounded up:171
    6. Mortar = blocks laid × 2 bags per 100 blocks, rounded up

      162.105263×2100=3.2421=rounded up:4
  6. 6. Blocks to buy: 224 blocks

    1. Gross wall area = length × height

      7×2.6=18.2 m²
    2. Net wall area = gross area − openings

      18.2−1.4=16.8 m²
    3. Face area of one block = nominal length × height (mm² ÷ 1,000,000 gives m²)

      420×1901,000,000=0.0798 m²
    4. Blocks in the wall = net area ÷ block face area

      16.80.0798=210.526316 blocks
    5. Add 6% for breakage and cuts, then round up to whole blocks

      210.526316×1+0.06=223.1579=rounded up:224
    6. Mortar = blocks laid × 2 bags per 100 blocks, rounded up

      210.526316×2100=4.2105=rounded up:5
  7. 7. Blocks to buy: 575 blocks

    1. Gross wall area = length × height

      9×2.6=23.4 m²
    2. Net wall area = gross area − openings

      23.4−1.5=21.9 m²
    3. Face area of one block = nominal length × height (mm² ÷ 1,000,000 gives m²)

      250×1601,000,000=0.04 m²
    4. Blocks in the wall = net area ÷ block face area

      21.90.04=547.5 blocks
    5. Add 5% for breakage and cuts, then round up to whole blocks

      547.5×1+0.05=574.875=rounded up:575
    6. Mortar = blocks laid × 2 bags per 100 blocks, rounded up

      547.5×2100=10.95=rounded up:11
  8. 8. Blocks to buy: 502 blocks

    1. Gross wall area = length × height

      9×2.8=25.2 m²
    2. Net wall area = gross area − openings

      25.2−1.2=24 m²
    3. Face area of one block = nominal length × height (mm² ÷ 1,000,000 gives m²)

      390×1301,000,000=0.0507 m²
    4. Blocks in the wall = net area ÷ block face area

      240.0507=473.372781 blocks
    5. Add 6% for breakage and cuts, then round up to whole blocks

      473.372781×1+0.06=501.7751=rounded up:502
    6. Mortar = blocks laid × 3 bags per 100 blocks, rounded up

      473.372781×3100=14.2012=rounded up:15
  9. 9. Blocks to buy: 191 blocks

    1. Gross wall area = length × height

      36×6=216 ft²
    2. Net wall area = gross area − openings

      216−13=203 ft²
    3. Face area of one block = nominal length × height (in² ÷ 144 gives ft²)

      20×8144=1.111111 ft²
    4. Blocks in the wall = net area ÷ block face area

      2031.111111=182.7 blocks
    5. Add 4% for breakage and cuts, then round up to whole blocks

      182.7×1+0.04=190.008=rounded up:191
    6. Mortar = blocks laid × 3 bags per 100 blocks, rounded up

      182.7×3100=5.481=rounded up:6
  10. 10. Blocks to buy: 333 blocks

    1. Gross wall area = length × height

      11×1.8=19.8 m²
    2. Net wall area = gross area − openings

      19.8−1.4=18.4 m²
    3. Face area of one block = nominal length × height (mm² ÷ 1,000,000 gives m²)

      360×1601,000,000=0.0576 m²
    4. Blocks in the wall = net area ÷ block face area

      18.40.0576=319.444444 blocks
    5. Add 4% for breakage and cuts, then round up to whole blocks

      319.444444×1+0.04=332.2222=rounded up:333
    6. Mortar = blocks laid × 3 bags per 100 blocks, rounded up

      319.444444×3100=9.5833=rounded up:10