Printable worksheet

← Back to the Brick Calculator

In the print window, choose “Save as PDF” as the printer (or print it on paper). Seed 1 rebuilds this exact sheet.

Brick 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 size: Length × height
- Wall length: 8 m
- Wall height: 2 m
- Brick length: 190 mm
- Brick height: 52 mm
- Brick depth (wall thickness): 100 mm
- Mortar joint: 9 mm
- Waste allowance: 4%
- Mortar yield per bag: 14 L
Find: Bricks to buy
Answer
2.
Problem 2.
- Units: Metric (meters, mm)
- Wall size: Area
- Wall area: 11 m²
- Brick length: 160 mm
- Brick height: 53 mm
- Brick depth (wall thickness): 110 mm
- Mortar joint: 10 mm
- Waste allowance: 7%
- Mortar yield per bag: 15 L
Find: Bricks to buy
Answer
3.
Problem 3.
- Units: Metric (meters, mm)
- Wall size: Length × height
- Wall length: 8 m
- Wall height: 2 m
- Brick length: 220 mm
- Brick height: 60 mm
- Brick depth (wall thickness): 100 mm
- Mortar joint: 7 mm
- Waste allowance: 4%
- Mortar yield per bag: 9 L
Find: Bricks to buy
Answer
4.
Problem 4.
- Units: US (feet, inches)
- Wall size: Area
- Wall area: 110 ft²
- Brick length: 7 in
- Brick height: 2.5 in
- Brick depth (wall thickness): 3.5 in
- Mortar joint: 0.35 in
- Waste allowance: 6%
- Mortar yield per 80 lb bag: 0.58 ft³
Find: Bricks to buy
Answer
5.
Problem 5.
- Units: Metric (meters, mm)
- Wall size: Length × height
- Wall length: 8 m
- Wall height: 2 m
- Brick length: 270 mm
- Brick height: 40 mm
- Brick depth (wall thickness): 80 mm
- Mortar joint: 11 mm
- Waste allowance: 5%
- Mortar yield per bag: 14 L
Find: Bricks to buy
Answer
6.
Problem 6.
- Units: Metric (meters, mm)
- Wall size: Area
- Wall area: 9 m²
- Brick length: 200 mm
- Brick height: 65 mm
- Brick depth (wall thickness): 80 mm
- Mortar joint: 9 mm
- Waste allowance: 6%
- Mortar yield per bag: 11 L
Find: Bricks to buy
Answer
7.
Problem 7.
- Units: Metric (meters, mm)
- Wall size: Length × height
- Wall length: 5 m
- Wall height: 2 m
- Brick length: 220 mm
- Brick height: 55 mm
- Brick depth (wall thickness): 92.5 mm
- Mortar joint: 8 mm
- Waste allowance: 4%
- Mortar yield per bag: 14 L
Find: Bricks to buy
Answer
8.
Problem 8.
- Units: Metric (meters, mm)
- Wall size: Area
- Wall area: 14 m²
- Brick length: 200 mm
- Brick height: 45 mm
- Brick depth (wall thickness): 80 mm
- Mortar joint: 12 mm
- Waste allowance: 4%
- Mortar yield per bag: 14 L
Find: Bricks to buy
Answer
9.
Problem 9.
- Units: Metric (meters, mm)
- Wall size: Length × height
- Wall length: 7 m
- Wall height: 3 m
- Brick length: 160 mm
- Brick height: 60 mm
- Brick depth (wall thickness): 95 mm
- Mortar joint: 8 mm
- Waste allowance: 4%
- Mortar yield per bag: 15 L
Find: Bricks to buy
Answer
10.
Problem 10.
- Units: Metric (meters, mm)
- Wall size: Area
- Wall area: 12 m²
- Brick length: 280 mm
- Brick height: 70 mm
- Brick depth (wall thickness): 130 mm
- Mortar joint: 9 mm
- Waste allowance: 5%
- Mortar yield per bag: 14 L
Find: Bricks to buy
Answer

Answer key: Brick worksheet

1. Bricks to buy: 1,371 bricks
1. Multiply length by height to get the wall area
  $8 \times 2$ $= 16 m²$
2. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 1,000,000 to turn mm² into m²
  $\frac{(190 + 9) \times (52 + 9)}{1,000,000}$ $= 0.012139 m²$
3. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{16}{0.012139}$ $= 1,318.065739 bricks$
4. Add 4% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $1,318.065739 \times 1 + 0.04$ $= 1,370.7884$ $= rounded up: 1,371$
5. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in mm³
  $100 \times (12,139 - 190 \times 52)$ $= 225,900 mm³$
6. Multiply by the number of bricks, divide by 1,000,000,000 to change the units, and add 4% for waste
  $\frac{1,318.065739 \times 225,900}{1,000,000,000} \times 1 + 0.04$ $= 0.309661 m³$
7. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{309.661092}{14}$ $= 22.1186$ $= rounded up: 23$
2. Bricks to buy: 1,099 bricks
1. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 1,000,000 to turn mm² into m²
  $\frac{(160 + 10) \times (53 + 10)}{1,000,000}$ $= 0.01071 m²$
2. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{11}{0.01071}$ $= 1,027.077498 bricks$
3. Add 7% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $1,027.077498 \times 1 + 0.07$ $= 1,098.9729$ $= rounded up: 1,099$
4. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in mm³
  $110 \times (10,710 - 160 \times 53)$ $= 245,300 mm³$
5. Multiply by the number of bricks, divide by 1,000,000,000 to change the units, and add 7% for waste
  $\frac{1,027.077498 \times 245,300}{1,000,000,000} \times 1 + 0.07$ $= 0.269578 m³$
6. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{269.578058}{15}$ $= 17.9719$ $= rounded up: 18$
3. Bricks to buy: 1,095 bricks
1. Multiply length by height to get the wall area
  $8 \times 2$ $= 16 m²$
2. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 1,000,000 to turn mm² into m²
  $\frac{(220 + 7) \times (60 + 7)}{1,000,000}$ $= 0.015209 m²$
3. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{16}{0.015209}$ $= 1,052.008679 bricks$
4. Add 4% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $1,052.008679 \times 1 + 0.04$ $= 1,094.089$ $= rounded up: 1,095$
5. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in mm³
  $100 \times (15,209 - 220 \times 60)$ $= 200,900 mm³$
6. Multiply by the number of bricks, divide by 1,000,000,000 to change the units, and add 4% for waste
  $\frac{1,052.008679 \times 200,900}{1,000,000,000} \times 1 + 0.04$ $= 0.219802 m³$
7. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{219.802485}{9}$ $= 24.4225$ $= rounded up: 25$
4. Bricks to buy: 802 bricks
1. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 144 to turn in² into ft²
  $\frac{(7 + 0.35) \times (2.5 + 0.35)}{144}$ $= 0.145469 ft²$
2. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{110}{0.145469}$ $= 756.176155 bricks$
3. Add 6% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $756.176155 \times 1 + 0.06$ $= 801.5467$ $= rounded up: 802$
4. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in in³
  $3.5 \times (20.9475 - 7 \times 2.5)$ $= 12.06625 in³$
5. Multiply by the number of bricks, divide by 1,728 to change the units, and add 6% for waste
  $\frac{756.176155 \times 12.06625}{1,728} \times 1 + 0.06$ $= 5.597027 ft³$
6. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{5.597027}{0.58}$ $= 9.65$ $= rounded up: 10$
5. Bricks to buy: 1,173 bricks
1. Multiply length by height to get the wall area
  $8 \times 2$ $= 16 m²$
2. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 1,000,000 to turn mm² into m²
  $\frac{(270 + 11) \times (40 + 11)}{1,000,000}$ $= 0.014331 m²$
3. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{16}{0.014331}$ $= 1,116.460819 bricks$
4. Add 5% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $1,116.460819 \times 1 + 0.05$ $= 1,172.2839$ $= rounded up: 1,173$
5. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in mm³
  $80 \times (14,331 - 270 \times 40)$ $= 282,480 mm³$
6. Multiply by the number of bricks, divide by 1,000,000,000 to change the units, and add 5% for waste
  $\frac{1,116.460819 \times 282,480}{1,000,000,000} \times 1 + 0.05$ $= 0.331147 m³$
7. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{331.146745}{14}$ $= 23.6533$ $= rounded up: 24$
6. Bricks to buy: 617 bricks
1. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 1,000,000 to turn mm² into m²
  $\frac{(200 + 9) \times (65 + 9)}{1,000,000}$ $= 0.015466 m²$
2. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{9}{0.015466}$ $= 581.921635 bricks$
3. Add 6% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $581.921635 \times 1 + 0.06$ $= 616.8369$ $= rounded up: 617$
4. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in mm³
  $80 \times (15,466 - 200 \times 65)$ $= 197,280 mm³$
5. Multiply by the number of bricks, divide by 1,000,000,000 to change the units, and add 6% for waste
  $\frac{581.921635 \times 197,280}{1,000,000,000} \times 1 + 0.06$ $= 0.12169 m³$
6. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{121.68959}{11}$ $= 11.0627$ $= rounded up: 12$
7. Bricks to buy: 725 bricks
1. Multiply length by height to get the wall area
  $5 \times 2$ $= 10 m²$
2. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 1,000,000 to turn mm² into m²
  $\frac{(220 + 8) \times (55 + 8)}{1,000,000}$ $= 0.014364 m²$
3. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{10}{0.014364}$ $= 696.184907 bricks$
4. Add 4% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $696.184907 \times 1 + 0.04$ $= 724.0323$ $= rounded up: 725$
5. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in mm³
  $92.5 \times (14,364 - 220 \times 55)$ $= 209,420 mm³$
6. Multiply by the number of bricks, divide by 1,000,000,000 to change the units, and add 4% for waste
  $\frac{696.184907 \times 209,420}{1,000,000,000} \times 1 + 0.04$ $= 0.151627 m³$
7. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{151.626845}{14}$ $= 10.8305$ $= rounded up: 11$
8. Bricks to buy: 1,205 bricks
1. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 1,000,000 to turn mm² into m²
  $\frac{(200 + 12) \times (45 + 12)}{1,000,000}$ $= 0.012084 m²$
2. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{14}{0.012084}$ $= 1,158.556769 bricks$
3. Add 4% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $1,158.556769 \times 1 + 0.04$ $= 1,204.899$ $= rounded up: 1,205$
4. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in mm³
  $80 \times (12,084 - 200 \times 45)$ $= 246,720 mm³$
5. Multiply by the number of bricks, divide by 1,000,000,000 to change the units, and add 4% for waste
  $\frac{1,158.556769 \times 246,720}{1,000,000,000} \times 1 + 0.04$ $= 0.297273 m³$
6. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{297.272691}{14}$ $= 21.2338$ $= rounded up: 22$
9. Bricks to buy: 1,912 bricks
1. Multiply length by height to get the wall area
  $7 \times 3$ $= 21 m²$
2. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 1,000,000 to turn mm² into m²
  $\frac{(160 + 8) \times (60 + 8)}{1,000,000}$ $= 0.011424 m²$
3. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{21}{0.011424}$ $= 1,838.235294 bricks$
4. Add 4% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $1,838.235294 \times 1 + 0.04$ $= 1,911.7647$ $= rounded up: 1,912$
5. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in mm³
  $95 \times (11,424 - 160 \times 60)$ $= 173,280 mm³$
6. Multiply by the number of bricks, divide by 1,000,000,000 to change the units, and add 4% for waste
  $\frac{1,838.235294 \times 173,280}{1,000,000,000} \times 1 + 0.04$ $= 0.331271 m³$
7. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{331.270588}{15}$ $= 22.0847$ $= rounded up: 23$
10. Bricks to buy: 552 bricks
1. Find the patch of wall one brick covers: add one joint to its length and height, multiply, then divide by 1,000,000 to turn mm² into m²
  $\frac{(280 + 9) \times (70 + 9)}{1,000,000}$ $= 0.022831 m²$
2. Divide the wall area by the patch one brick covers to count the bricks in the wall
  $\frac{12}{0.022831}$ $= 525.601156 bricks$
3. Add 5% extra for breakage and cuts, then round up, since you can only buy whole bricks
  $525.601156 \times 1 + 0.05$ $= 551.8812$ $= rounded up: 552$
4. Find the mortar around one brick: its patch minus the brick face, times the wall depth, in mm³
  $130 \times (22,831 - 280 \times 70)$ $= 420,030 mm³$
5. Multiply by the number of bricks, divide by 1,000,000,000 to change the units, and add 5% for waste
  $\frac{525.601156 \times 420,030}{1,000,000,000} \times 1 + 0.05$ $= 0.231807 m³$
6. Divide the mortar by what one bag makes, then round up to whole bags
  $\frac{231.806666}{14}$ $= 16.5576$ $= rounded up: 17$