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Asphalt worksheet

Grades 6–7 · CCSS 6.G.A.2, 6.RP.A.3.d

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

1.
Problem 1.
- Units: Metric (meters, cm, kg/m³)
- Length: 12 m
- Width: 4 m
- Compacted thickness: 9 cm
- Asphalt density: 1,800 kg/m³
- Extra for waste and uneven base: 5%
Find: Asphalt to order
Answer
2.
Problem 2.
- Units: US (feet, inches, lb/ft³)
- Length: 34 ft
- Width: 11 ft
- Compacted thickness: 3 in
- Asphalt density: 180 lb/ft³
- Extra for waste and uneven base: 4%
Find: Asphalt to order
Answer
3.
Problem 3.
- Units: US (feet, inches, lb/ft³)
- Length: 40 ft
- Width: 12 ft
- Compacted thickness: 4 in
- Asphalt density: 200 lb/ft³
- Extra for waste and uneven base: 7%
Find: Asphalt to order
Answer
4.
Problem 4.
- Units: US (feet, inches, lb/ft³)
- Length: 50 ft
- Width: 13 ft
- Compacted thickness: 4 in
- Asphalt density: 115 lb/ft³
- Extra for waste and uneven base: 5%
Find: Asphalt to order
Answer
5.
Problem 5.
- Units: Metric (meters, cm, kg/m³)
- Length: 11 m
- Width: 4 m
- Compacted thickness: 6.2 cm
- Asphalt density: 2,000 kg/m³
- Extra for waste and uneven base: 4%
Find: Asphalt to order
Answer
6.
Problem 6.
- Units: Metric (meters, cm, kg/m³)
- Length: 15 m
- Width: 2 m
- Compacted thickness: 8.8 cm
- Asphalt density: 2,750 kg/m³
- Extra for waste and uneven base: 3%
Find: Asphalt to order
Answer
7.
Problem 7.
- Units: Metric (meters, cm, kg/m³)
- Length: 12 m
- Width: 5 m
- Compacted thickness: 6 cm
- Asphalt density: 2,800 kg/m³
- Extra for waste and uneven base: 4%
Find: Asphalt to order
Answer
8.
Problem 8.
- Units: US (feet, inches, lb/ft³)
- Length: 38 ft
- Width: 13 ft
- Compacted thickness: 3 in
- Asphalt density: 120 lb/ft³
- Extra for waste and uneven base: 4%
Find: Asphalt to order
Answer
9.
Problem 9.
- Units: Metric (meters, cm, kg/m³)
- Length: 11 m
- Width: 5 m
- Compacted thickness: 6.2 cm
- Asphalt density: 2,400 kg/m³
- Extra for waste and uneven base: 5%
Find: Asphalt to order
Answer
10.
Problem 10.
- Units: US (feet, inches, lb/ft³)
- Length: 36 ft
- Width: 10 ft
- Compacted thickness: 3 in
- Asphalt density: 145 lb/ft³
- Extra for waste and uneven base: 4%
Find: Asphalt to order
Answer

Answer key: Asphalt worksheet

1. Asphalt to order: 8.16 t (tonnes)
1. Find the area to pave: length × width
  $12 \times 4$ $= 48 m²$
2. Find the volume: area × thickness. Dividing cm by 100 turns the thickness into meters
  $48 \times \frac{9}{100}$ $= 4.32 m³$
3. Add 5% for edges, low spots and waste
  $4.32 \times 1 + 0.05$ $= 4.536 m³$
4. Find the weight: volume × density (the weight of each cubic meter)
  $4.536 \times 1,800$ $= 8,164.8 kg$
5. Asphalt is sold by weight, so convert to tonnes (1,000 kg each)
  $\frac{8,164.8}{1,000}$ $= 8.1648 t$
2. Asphalt to order: 8.75 US tons
1. Find the area to pave: length × width
  $34 \times 11$ $= 374 ft²$
2. Find the volume: area × thickness. Dividing inches by 12 turns the thickness into feet
  $374 \times \frac{3}{12}$ $= 93.5 ft³$
3. Add 4% for edges, low spots and waste
  $93.5 \times 1 + 0.04$ $= 97.24 ft³$
4. Find the weight: volume × density (the weight of each cubic foot)
  $97.24 \times 180$ $= 17,503.2 lb$
5. Asphalt is sold by weight, so convert to US tons (2,000 lb each)
  $\frac{17,503.2}{2,000}$ $= 8.7516 tons$
3. Asphalt to order: 17.12 US tons
1. Find the area to pave: length × width
  $40 \times 12$ $= 480 ft²$
2. Find the volume: area × thickness. Dividing inches by 12 turns the thickness into feet
  $480 \times \frac{4}{12}$ $= 160 ft³$
3. Add 7% for edges, low spots and waste
  $160 \times 1 + 0.07$ $= 171.2 ft³$
4. Find the weight: volume × density (the weight of each cubic foot)
  $171.2 \times 200$ $= 34,240 lb$
5. Asphalt is sold by weight, so convert to US tons (2,000 lb each)
  $\frac{34,240}{2,000}$ $= 17.12 tons$
4. Asphalt to order: 13.08 US tons
1. Find the area to pave: length × width
  $50 \times 13$ $= 650 ft²$
2. Find the volume: area × thickness. Dividing inches by 12 turns the thickness into feet
  $650 \times \frac{4}{12}$ $= 216.666667 ft³$
3. Add 5% for edges, low spots and waste
  $216.666667 \times 1 + 0.05$ $= 227.5 ft³$
4. Find the weight: volume × density (the weight of each cubic foot)
  $227.5 \times 115$ $= 26,162.5 lb$
5. Asphalt is sold by weight, so convert to US tons (2,000 lb each)
  $\frac{26,162.5}{2,000}$ $= 13.08125 tons$
5. Asphalt to order: 5.67 t (tonnes)
1. Find the area to pave: length × width
  $11 \times 4$ $= 44 m²$
2. Find the volume: area × thickness. Dividing cm by 100 turns the thickness into meters
  $44 \times \frac{6.2}{100}$ $= 2.728 m³$
3. Add 4% for edges, low spots and waste
  $2.728 \times 1 + 0.04$ $= 2.83712 m³$
4. Find the weight: volume × density (the weight of each cubic meter)
  $2.83712 \times 2,000$ $= 5,674.24 kg$
5. Asphalt is sold by weight, so convert to tonnes (1,000 kg each)
  $\frac{5,674.24}{1,000}$ $= 5.67424 t$
6. Asphalt to order: 7.48 t (tonnes)
1. Find the area to pave: length × width
  $15 \times 2$ $= 30 m²$
2. Find the volume: area × thickness. Dividing cm by 100 turns the thickness into meters
  $30 \times \frac{8.8}{100}$ $= 2.64 m³$
3. Add 3% for edges, low spots and waste
  $2.64 \times 1 + 0.03$ $= 2.7192 m³$
4. Find the weight: volume × density (the weight of each cubic meter)
  $2.7192 \times 2,750$ $= 7,477.8 kg$
5. Asphalt is sold by weight, so convert to tonnes (1,000 kg each)
  $\frac{7,477.8}{1,000}$ $= 7.4778 t$
7. Asphalt to order: 10.48 t (tonnes)
1. Find the area to pave: length × width
  $12 \times 5$ $= 60 m²$
2. Find the volume: area × thickness. Dividing cm by 100 turns the thickness into meters
  $60 \times \frac{6}{100}$ $= 3.6 m³$
3. Add 4% for edges, low spots and waste
  $3.6 \times 1 + 0.04$ $= 3.744 m³$
4. Find the weight: volume × density (the weight of each cubic meter)
  $3.744 \times 2,800$ $= 10,483.2 kg$
5. Asphalt is sold by weight, so convert to tonnes (1,000 kg each)
  $\frac{10,483.2}{1,000}$ $= 10.4832 t$
8. Asphalt to order: 7.71 US tons
1. Find the area to pave: length × width
  $38 \times 13$ $= 494 ft²$
2. Find the volume: area × thickness. Dividing inches by 12 turns the thickness into feet
  $494 \times \frac{3}{12}$ $= 123.5 ft³$
3. Add 4% for edges, low spots and waste
  $123.5 \times 1 + 0.04$ $= 128.44 ft³$
4. Find the weight: volume × density (the weight of each cubic foot)
  $128.44 \times 120$ $= 15,412.8 lb$
5. Asphalt is sold by weight, so convert to US tons (2,000 lb each)
  $\frac{15,412.8}{2,000}$ $= 7.7064 tons$
9. Asphalt to order: 8.59 t (tonnes)
1. Find the area to pave: length × width
  $11 \times 5$ $= 55 m²$
2. Find the volume: area × thickness. Dividing cm by 100 turns the thickness into meters
  $55 \times \frac{6.2}{100}$ $= 3.41 m³$
3. Add 5% for edges, low spots and waste
  $3.41 \times 1 + 0.05$ $= 3.5805 m³$
4. Find the weight: volume × density (the weight of each cubic meter)
  $3.5805 \times 2,400$ $= 8,593.2 kg$
5. Asphalt is sold by weight, so convert to tonnes (1,000 kg each)
  $\frac{8,593.2}{1,000}$ $= 8.5932 t$
10. Asphalt to order: 6.79 US tons
1. Find the area to pave: length × width
  $36 \times 10$ $= 360 ft²$
2. Find the volume: area × thickness. Dividing inches by 12 turns the thickness into feet
  $360 \times \frac{3}{12}$ $= 90 ft³$
3. Add 4% for edges, low spots and waste
  $90 \times 1 + 0.04$ $= 93.6 ft³$
4. Find the weight: volume × density (the weight of each cubic foot)
  $93.6 \times 145$ $= 13,572 lb$
5. Asphalt is sold by weight, so convert to US tons (2,000 lb each)
  $\frac{13,572}{2,000}$ $= 6.786 tons$