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Body Fat worksheet

Grades 11–12

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

1.
Problem 1.
- Units: Metric (cm, kg)
- Sex: Male
- Age: 48 years
- Height: 200 cm
- Neck circumference: 32 cm
- Waist circumference: 69 cm
- Weight: 80 kg
Find: Estimated body fat
Answer
2.
Problem 2.
- Units: US (ft, in, lb)
- Sex: Male
- Age: 38 years
- Height (feet): 6 ft
- Height (inches): 9 in
- Neck circumference: 12 in
- Waist circumference: 28 in
- Weight: 200 lb
Find: Estimated body fat
Answer
3.
Problem 3.
- Units: Metric (cm, kg)
- Sex: Male
- Age: 40 years
- Height: 250 cm
- Neck circumference: 32 cm
- Waist circumference: 110 cm
- Weight: 90 kg
Find: Estimated body fat
Answer
4.
Problem 4.
- Units: Metric (cm, kg)
- Sex: Male
- Age: 28 years
- Height: 190 cm
- Neck circumference: 44 cm
- Waist circumference: 85 cm
- Weight: 85 kg
Find: Estimated body fat
Answer
5.
Problem 5.
- Units: US (ft, in, lb)
- Sex: Male
- Age: 37 years
- Height (feet): 5 ft
- Height (inches): 6 in
- Neck circumference: 17 in
- Waist circumference: 40 in
- Weight: 120 lb
Find: Estimated body fat
Answer
6.
Problem 6.
- Units: Metric (cm, kg)
- Sex: Male
- Age: 45 years
- Height: 180 cm
- Neck circumference: 28 cm
- Waist circumference: 84 cm
- Weight: 74 kg
Find: Estimated body fat
Answer
7.
Problem 7.
- Units: US (ft, in, lb)
- Sex: Female
- Age: 38 years
- Height (feet): 5 ft
- Height (inches): 10 in
- Neck circumference: 14 in
- Waist circumference: 40 in
- Hip circumference: 32 in
- Weight: 200 lb
Find: Estimated body fat
Answer
8.
Problem 8.
- Units: US (ft, in, lb)
- Sex: Female
- Age: 30 years
- Height (feet): 6 ft
- Height (inches): 8 in
- Neck circumference: 16 in
- Waist circumference: 42 in
- Hip circumference: 36 in
- Weight: 190 lb
Find: Estimated body fat
Answer
9.
Problem 9.
- Units: US (ft, in, lb)
- Sex: Female
- Age: 32 years
- Height (feet): 4 ft
- Height (inches): 7 in
- Neck circumference: 16 in
- Waist circumference: 45 in
- Hip circumference: 45 in
- Weight: 180 lb
Find: Estimated body fat
Answer
10.
Problem 10.
- Units: US (ft, in, lb)
- Sex: Female
- Age: 28 years
- Height (feet): 6 ft
- Height (inches): 9 in
- Neck circumference: 17 in
- Waist circumference: 34 in
- Hip circumference: 45 in
- Weight: 180 lb
Find: Estimated body fat
Answer

Answer key: Body Fat worksheet

1. Estimated body fat: 4%
1. The Navy equations use inches, so divide each centimeter measurement by 2.54
  $height 78.74 in, neck 12.6 in, waist 27.17 in$
2. Take your neck away from your waist. This shows how much is carried around your middle
  $27.17 - 12.6$ $= 14.57 in$
3. Put that and your height into the Navy formula for men. log₁₀ is the 'log' key on a calculator
  $86.01 \times log₁₀(14.57) - 70.041 \times log₁₀(78.74) + 36.76$ $= 4.01%$
4. Find your fat mass: your weight times your body fat percent
  $80 kg \times \frac{4.01%}{100}$ $= 3.2 kg$
5. Everything else is lean mass: muscle, bone, organs and water
  $80 - 3.2$ $= 76.8 kg$
6. Round to a whole percent, since the ACE chart for men uses whole numbers, and find your band
  $4 % → Essential fat$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{80}{2^{2}}$ $= 20$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 1 for men)
  $1.2 \times 20 + 0.23 \times 48 - 10.8 - 5.4$ $= 18.8%$
2. Estimated body fat: 6.7%
1. Turn your height into inches, because the Navy formulas work in inches
  $6 \times 12 + 9$ $= 81 in$
2. Take your neck away from your waist. This shows how much is carried around your middle
  $28 - 12$ $= 16 in$
3. Put that and your height into the Navy formula for men. log₁₀ is the 'log' key on a calculator
  $86.01 \times log₁₀(16) - 70.041 \times log₁₀(81) + 36.76$ $= 6.65%$
4. Find your fat mass: your weight times your body fat percent
  $200 lb \times \frac{6.65%}{100}$ $= 13.3 lb$
5. Everything else is lean mass: muscle, bone, organs and water
  $200 - 13.3$ $= 186.7 lb$
6. Round to a whole percent, since the ACE chart for men uses whole numbers, and find your band
  $7 % → Athletes$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{90.718}{{2.0574}^{2}}$ $= 21.43$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 1 for men)
  $1.2 \times 21.43 + 0.23 \times 38 - 10.8 - 5.4$ $= 18.3%$
3. Estimated body fat: 25.1%
1. The Navy equations use inches, so divide each centimeter measurement by 2.54
  $height 98.43 in, neck 12.6 in, waist 43.31 in$
2. Take your neck away from your waist. This shows how much is carried around your middle
  $43.31 - 12.6$ $= 30.71 in$
3. Put that and your height into the Navy formula for men. log₁₀ is the 'log' key on a calculator
  $86.01 \times log₁₀(30.71) - 70.041 \times log₁₀(98.43) + 36.76$ $= 25.08%$
4. Find your fat mass: your weight times your body fat percent
  $90 kg \times \frac{25.08%}{100}$ $= 22.6 kg$
5. Everything else is lean mass: muscle, bone, organs and water
  $90 - 22.6$ $= 67.4 kg$
6. Round to a whole percent, since the ACE chart for men uses whole numbers, and find your band
  $25 % → Obese$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{90}{{2.5}^{2}}$ $= 14.4$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 1 for men)
  $1.2 \times 14.4 + 0.23 \times 40 - 10.8 - 5.4$ $= 10.3%$
4. Estimated body fat: 9.4%
1. The Navy equations use inches, so divide each centimeter measurement by 2.54
  $height 74.8 in, neck 17.32 in, waist 33.46 in$
2. Take your neck away from your waist. This shows how much is carried around your middle
  $33.46 - 17.32$ $= 16.14 in$
3. Put that and your height into the Navy formula for men. log₁₀ is the 'log' key on a calculator
  $86.01 \times log₁₀(16.14) - 70.041 \times log₁₀(74.8) + 36.76$ $= 9.4%$
4. Find your fat mass: your weight times your body fat percent
  $85 kg \times \frac{9.4%}{100}$ $= 8 kg$
5. Everything else is lean mass: muscle, bone, organs and water
  $85 - 8$ $= 77 kg$
6. Round to a whole percent, since the ACE chart for men uses whole numbers, and find your band
  $9 % → Athletes$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{85}{{1.9}^{2}}$ $= 23.55$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 1 for men)
  $1.2 \times 23.55 + 0.23 \times 28 - 10.8 - 5.4$ $= 18.5%$
5. Estimated body fat: 26.4%
1. Turn your height into inches, because the Navy formulas work in inches
  $5 \times 12 + 6$ $= 66 in$
2. Take your neck away from your waist. This shows how much is carried around your middle
  $40 - 17$ $= 23 in$
3. Put that and your height into the Navy formula for men. log₁₀ is the 'log' key on a calculator
  $86.01 \times log₁₀(23) - 70.041 \times log₁₀(66) + 36.76$ $= 26.44%$
4. Find your fat mass: your weight times your body fat percent
  $120 lb \times \frac{26.44%}{100}$ $= 31.7 lb$
5. Everything else is lean mass: muscle, bone, organs and water
  $120 - 31.7$ $= 88.3 lb$
6. Round to a whole percent, since the ACE chart for men uses whole numbers, and find your band
  $26 % → Obese$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{54.431}{{1.6764}^{2}}$ $= 19.37$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 1 for men)
  $1.2 \times 19.37 + 0.23 \times 37 - 10.8 - 5.4$ $= 15.6%$
6. Estimated body fat: 22.7%
1. The Navy equations use inches, so divide each centimeter measurement by 2.54
  $height 70.87 in, neck 11.02 in, waist 33.07 in$
2. Take your neck away from your waist. This shows how much is carried around your middle
  $33.07 - 11.02$ $= 22.05 in$
3. Put that and your height into the Navy formula for men. log₁₀ is the 'log' key on a calculator
  $86.01 \times log₁₀(22.05) - 70.041 \times log₁₀(70.87) + 36.76$ $= 22.7%$
4. Find your fat mass: your weight times your body fat percent
  $74 kg \times \frac{22.7%}{100}$ $= 16.8 kg$
5. Everything else is lean mass: muscle, bone, organs and water
  $74 - 16.8$ $= 57.2 kg$
6. Round to a whole percent, since the ACE chart for men uses whole numbers, and find your band
  $23 % → Average$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{74}{{1.8}^{2}}$ $= 22.84$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 1 for men)
  $1.2 \times 22.84 + 0.23 \times 45 - 10.8 - 5.4$ $= 21.6%$
7. Estimated body fat: 29.2%
1. Turn your height into inches, because the Navy formulas work in inches
  $5 \times 12 + 10$ $= 70 in$
2. Add your waist and hips, then take away your neck. This shows how much is carried around your middle
  $40 + 32 - 14$ $= 58 in$
3. Put that and your height into the Navy formula for women. log₁₀ is the 'log' key on a calculator
  $163.205 \times log₁₀(58) - 97.684 \times log₁₀(70) - 78.387$ $= 29.18%$
4. Find your fat mass: your weight times your body fat percent
  $200 lb \times \frac{29.18%}{100}$ $= 58.4 lb$
5. Everything else is lean mass: muscle, bone, organs and water
  $200 - 58.4$ $= 141.6 lb$
6. Round to a whole percent, since the ACE chart for women uses whole numbers, and find your band
  $29 % → Average$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{90.718}{{1.778}^{2}}$ $= 28.7$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 0 for women)
  $1.2 \times 28.7 + 0.23 \times 38 - 0 - 5.4$ $= 37.8%$
8. Estimated body fat: 28.2%
1. Turn your height into inches, because the Navy formulas work in inches
  $6 \times 12 + 8$ $= 80 in$
2. Add your waist and hips, then take away your neck. This shows how much is carried around your middle
  $42 + 36 - 16$ $= 62 in$
3. Put that and your height into the Navy formula for women. log₁₀ is the 'log' key on a calculator
  $163.205 \times log₁₀(62) - 97.684 \times log₁₀(80) - 78.387$ $= 28.24%$
4. Find your fat mass: your weight times your body fat percent
  $190 lb \times \frac{28.24%}{100}$ $= 53.7 lb$
5. Everything else is lean mass: muscle, bone, organs and water
  $190 - 53.7$ $= 136.3 lb$
6. Round to a whole percent, since the ACE chart for women uses whole numbers, and find your band
  $28 % → Average$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{86.183}{{2.032}^{2}}$ $= 20.87$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 0 for women)
  $1.2 \times 20.87 + 0.23 \times 30 - 0 - 5.4$ $= 26.5%$
9. Estimated body fat: 56.7%
1. Turn your height into inches, because the Navy formulas work in inches
  $4 \times 12 + 7$ $= 55 in$
2. Add your waist and hips, then take away your neck. This shows how much is carried around your middle
  $45 + 45 - 16$ $= 74 in$
3. Put that and your height into the Navy formula for women. log₁₀ is the 'log' key on a calculator
  $163.205 \times log₁₀(74) - 97.684 \times log₁₀(55) - 78.387$ $= 56.68%$
4. Find your fat mass: your weight times your body fat percent
  $180 lb \times \frac{56.68%}{100}$ $= 102 lb$
5. Everything else is lean mass: muscle, bone, organs and water
  $180 - 102$ $= 78 lb$
6. Round to a whole percent, since the ACE chart for women uses whole numbers, and find your band
  $57 % → Obese$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{81.647}{{1.397}^{2}}$ $= 41.84$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 0 for women)
  $1.2 \times 41.84 + 0.23 \times 32 - 0 - 5.4$ $= 52.2%$
10. Estimated body fat: 27.7%
1. Turn your height into inches, because the Navy formulas work in inches
  $6 \times 12 + 9$ $= 81 in$
2. Add your waist and hips, then take away your neck. This shows how much is carried around your middle
  $34 + 45 - 17$ $= 62 in$
3. Put that and your height into the Navy formula for women. log₁₀ is the 'log' key on a calculator
  $163.205 \times log₁₀(62) - 97.684 \times log₁₀(81) - 78.387$ $= 27.71%$
4. Find your fat mass: your weight times your body fat percent
  $180 lb \times \frac{27.71%}{100}$ $= 49.9 lb$
5. Everything else is lean mass: muscle, bone, organs and water
  $180 - 49.9$ $= 130.1 lb$
6. Round to a whole percent, since the ACE chart for women uses whole numbers, and find your band
  $28 % → Average$
7. For a second opinion, find your BMI: weight in kg divided by height in meters, squared
  $\frac{81.647}{{2.0574}^{2}}$ $= 19.29$
8. Turn BMI and age into a rough body fat estimate with the Deurenberg formula (the sex number is 0 for women)
  $1.2 \times 19.29 + 0.23 \times 28 - 0 - 5.4$ $= 24.2%$