Lean Body Mass worksheet

1. Lean body mass (Boer): 81.5 kg

1. Boer formula for men, the main estimate: 0.407 × your weight in kg, plus 0.267 × your height in cm, minus 19.2

   $0.407\times 90+0.267\times 240-19.2$$=81.51\text{\hspace{0.17em}kg}$

2. James formula for men, as a cross-check: 1.1 × your weight in kg, minus 128 × the square of (weight ÷ height in cm)

   $1.1\times 90-128\times {\left(\frac{90}{240}\right)}^2$$=81\text{\hspace{0.17em}kg}$

3. Hume formula for men, a second cross-check: 0.32810 × your weight in kg, plus 0.33929 × your height in cm, minus 29.5336

   $0.3281\times 90+0.33929\times 240-29.5336$$=81.42\text{\hspace{0.17em}kg}$

4. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{81.51}{90}\right)\times 100$$=\mathrm{9.43\%}$

2. Lean body mass (Boer): 90.2 lb

1. Change your height to centimeters, because the formula uses metric units (1 in is exactly 2.54 cm)

   $\left(4\times 12+8\right)\times 2.54$$=142.24\text{\hspace{0.17em}cm}$

2. Change your weight to kilograms (1 lb is exactly 0.45359237 kg)

   $120\text{\hspace{0.17em}lb}\times 0.453592$$=54.431\text{\hspace{0.17em}kg}$

3. Boer formula for men, the main estimate: 0.407 × your weight in kg, plus 0.267 × your height in cm, minus 19.2

   $0.407\times 54.431+0.267\times 142.24-19.2$$=40.93\text{\hspace{0.17em}kg}$

4. James formula for men, as a cross-check: 1.1 × your weight in kg, minus 128 × the square of (weight ÷ height in cm)

   $1.1\times 54.431-128\times {\left(\frac{54.431}{142.24}\right)}^2$$=41.13\text{\hspace{0.17em}kg}$

5. Hume formula for men, a second cross-check: 0.32810 × your weight in kg, plus 0.33929 × your height in cm, minus 29.5336

   $0.3281\times 54.431+0.33929\times 142.24-29.5336$$=36.59\text{\hspace{0.17em}kg}$

6. Change the Boer result back to pounds, since the formulas work in kilograms

   $\frac{40.932}{0.453592}$$=90.24\text{\hspace{0.17em}lb}$

7. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{40.932}{54.431}\right)\times 100$$=\mathrm{24.8\%}$

3. Lean body mass (Boer): 50.1 kg

1. Boer formula for women, the main estimate: 0.252 × your weight in kg, plus 0.473 × your height in cm, minus 48.3

   $0.252\times 90+0.473\times 160-48.3$$=50.06\text{\hspace{0.17em}kg}$

2. James formula for women, as a cross-check: 1.07 × your weight in kg, minus 148 × the square of (weight ÷ height in cm)

   $1.07\times 90-148\times {\left(\frac{90}{160}\right)}^2$$=49.47\text{\hspace{0.17em}kg}$

3. Hume formula for women, a second cross-check: 0.29569 × your weight in kg, plus 0.41813 × your height in cm, minus 43.2933

   $0.29569\times 90+0.41813\times 160-43.2933$$=50.22\text{\hspace{0.17em}kg}$

4. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{50.06}{90}\right)\times 100$$=\mathrm{44.38\%}$

4. Lean body mass (Boer): 41.4 kg

1. Boer formula for women, the main estimate: 0.252 × your weight in kg, plus 0.473 × your height in cm, minus 48.3

   $0.252\times 65+0.473\times 155-48.3$$=41.39\text{\hspace{0.17em}kg}$

2. James formula for women, as a cross-check: 1.07 × your weight in kg, minus 148 × the square of (weight ÷ height in cm)

   $1.07\times 65-148\times {\left(\frac{65}{155}\right)}^2$$=43.52\text{\hspace{0.17em}kg}$

3. Hume formula for women, a second cross-check: 0.29569 × your weight in kg, plus 0.41813 × your height in cm, minus 43.2933

   $0.29569\times 65+0.41813\times 155-43.2933$$=40.74\text{\hspace{0.17em}kg}$

4. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{41.395}{65}\right)\times 100$$=\mathrm{36.32\%}$

5. Lean body mass (Boer): 56.8 kg

1. Boer formula for men, the main estimate: 0.407 × your weight in kg, plus 0.267 × your height in cm, minus 19.2

   $0.407\times 95+0.267\times 140-19.2$$=56.85\text{\hspace{0.17em}kg}$

2. James formula for men, as a cross-check: 1.1 × your weight in kg, minus 128 × the square of (weight ÷ height in cm)

   $1.1\times 95-128\times {\left(\frac{95}{140}\right)}^2$$=45.56\text{\hspace{0.17em}kg}$

3. Hume formula for men, a second cross-check: 0.32810 × your weight in kg, plus 0.33929 × your height in cm, minus 29.5336

   $0.3281\times 95+0.33929\times 140-29.5336$$=49.14\text{\hspace{0.17em}kg}$

4. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{56.845}{95}\right)\times 100$$=\mathrm{40.16\%}$

6. Lean body mass (Boer): 200.6 lb

1. Change your height to centimeters, because the formula uses metric units (1 in is exactly 2.54 cm)

   $\left(7\times 12+11\right)\times 2.54$$=241.3\text{\hspace{0.17em}cm}$

2. Change your weight to kilograms (1 lb is exactly 0.45359237 kg)

   $220\text{\hspace{0.17em}lb}\times 0.453592$$=99.79\text{\hspace{0.17em}kg}$

3. Boer formula for women, the main estimate: 0.252 × your weight in kg, plus 0.473 × your height in cm, minus 48.3

   $0.252\times 99.79+0.473\times 241.3-48.3$$=90.98\text{\hspace{0.17em}kg}$

4. James formula for women, as a cross-check: 1.07 × your weight in kg, minus 148 × the square of (weight ÷ height in cm)

   $1.07\times 99.79-148\times {\left(\frac{99.79}{241.3}\right)}^2$$=81.46\text{\hspace{0.17em}kg}$

5. Hume formula for women, a second cross-check: 0.29569 × your weight in kg, plus 0.41813 × your height in cm, minus 43.2933

   $0.29569\times 99.79+0.41813\times 241.3-43.2933$$=87.11\text{\hspace{0.17em}kg}$

6. Change the Boer result back to pounds, since the formulas work in kilograms

   $\frac{90.982}{0.453592}$$=200.58\text{\hspace{0.17em}lb}$

7. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{90.982}{99.79}\right)\times 100$$=\mathrm{8.83\%}$

7. Lean body mass (Boer): 115.2 lb

1. Change your height to centimeters, because the formula uses metric units (1 in is exactly 2.54 cm)

   $\left(5\times 12+10\right)\times 2.54$$=177.8\text{\hspace{0.17em}cm}$

2. Change your weight to kilograms (1 lb is exactly 0.45359237 kg)

   $130\text{\hspace{0.17em}lb}\times 0.453592$$=58.967\text{\hspace{0.17em}kg}$

3. Boer formula for men, the main estimate: 0.407 × your weight in kg, plus 0.267 × your height in cm, minus 19.2

   $0.407\times 58.967+0.267\times 177.8-19.2$$=52.27\text{\hspace{0.17em}kg}$

4. James formula for men, as a cross-check: 1.1 × your weight in kg, minus 128 × the square of (weight ÷ height in cm)

   $1.1\times 58.967-128\times {\left(\frac{58.967}{177.8}\right)}^2$$=50.78\text{\hspace{0.17em}kg}$

5. Hume formula for men, a second cross-check: 0.32810 × your weight in kg, plus 0.33929 × your height in cm, minus 29.5336

   $0.3281\times 58.967+0.33929\times 177.8-29.5336$$=50.14\text{\hspace{0.17em}kg}$

6. Change the Boer result back to pounds, since the formulas work in kilograms

   $\frac{52.272}{0.453592}$$=115.24\text{\hspace{0.17em}lb}$

7. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{52.272}{58.967}\right)\times 100$$=\mathrm{11.35\%}$

8. Lean body mass (Boer): 123 lb

1. Change your height to centimeters, because the formula uses metric units (1 in is exactly 2.54 cm)

   $\left(5\times 12+7\right)\times 2.54$$=170.18\text{\hspace{0.17em}cm}$

2. Change your weight to kilograms (1 lb is exactly 0.45359237 kg)

   $160\text{\hspace{0.17em}lb}\times 0.453592$$=72.575\text{\hspace{0.17em}kg}$

3. Boer formula for men, the main estimate: 0.407 × your weight in kg, plus 0.267 × your height in cm, minus 19.2

   $0.407\times 72.575+0.267\times 170.18-19.2$$=55.78\text{\hspace{0.17em}kg}$

4. James formula for men, as a cross-check: 1.1 × your weight in kg, minus 128 × the square of (weight ÷ height in cm)

   $1.1\times 72.575-128\times {\left(\frac{72.575}{170.18}\right)}^2$$=56.55\text{\hspace{0.17em}kg}$

5. Hume formula for men, a second cross-check: 0.32810 × your weight in kg, plus 0.33929 × your height in cm, minus 29.5336

   $0.3281\times 72.575+0.33929\times 170.18-29.5336$$=52.02\text{\hspace{0.17em}kg}$

6. Change the Boer result back to pounds, since the formulas work in kilograms

   $\frac{55.776}{0.453592}$$=122.97\text{\hspace{0.17em}lb}$

7. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{55.776}{72.575}\right)\times 100$$=\mathrm{23.15\%}$

9. Lean body mass (Boer): 153 lb

1. Change your height to centimeters, because the formula uses metric units (1 in is exactly 2.54 cm)

   $\left(6\times 12+6\right)\times 2.54$$=198.12\text{\hspace{0.17em}cm}$

2. Change your weight to kilograms (1 lb is exactly 0.45359237 kg)

   $210\text{\hspace{0.17em}lb}\times 0.453592$$=95.254\text{\hspace{0.17em}kg}$

3. Boer formula for women, the main estimate: 0.252 × your weight in kg, plus 0.473 × your height in cm, minus 48.3

   $0.252\times 95.254+0.473\times 198.12-48.3$$=69.41\text{\hspace{0.17em}kg}$

4. James formula for women, as a cross-check: 1.07 × your weight in kg, minus 148 × the square of (weight ÷ height in cm)

   $1.07\times 95.254-148\times {\left(\frac{95.254}{198.12}\right)}^2$$=67.71\text{\hspace{0.17em}kg}$

5. Hume formula for women, a second cross-check: 0.29569 × your weight in kg, plus 0.41813 × your height in cm, minus 43.2933

   $0.29569\times 95.254+0.41813\times 198.12-43.2933$$=67.71\text{\hspace{0.17em}kg}$

6. Change the Boer result back to pounds, since the formulas work in kilograms

   $\frac{69.415}{0.453592}$$=153.03\text{\hspace{0.17em}lb}$

7. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{69.415}{95.254}\right)\times 100$$=\mathrm{27.13\%}$

10. Lean body mass (Boer): 164.8 lb

1. Change your height to centimeters, because the formula uses metric units (1 in is exactly 2.54 cm)

   $\left(6\times 12+9\right)\times 2.54$$=205.74\text{\hspace{0.17em}cm}$

2. Change your weight to kilograms (1 lb is exactly 0.45359237 kg)

   $225\text{\hspace{0.17em}lb}\times 0.453592$$=102.058\text{\hspace{0.17em}kg}$

3. Boer formula for women, the main estimate: 0.252 × your weight in kg, plus 0.473 × your height in cm, minus 48.3

   $0.252\times 102.058+0.473\times 205.74-48.3$$=74.73\text{\hspace{0.17em}kg}$

4. James formula for women, as a cross-check: 1.07 × your weight in kg, minus 148 × the square of (weight ÷ height in cm)

   $1.07\times 102.058-148\times {\left(\frac{102.058}{205.74}\right)}^2$$=72.78\text{\hspace{0.17em}kg}$

5. Hume formula for women, a second cross-check: 0.29569 × your weight in kg, plus 0.41813 × your height in cm, minus 43.2933

   $0.29569\times 102.058+0.41813\times 205.74-43.2933$$=72.91\text{\hspace{0.17em}kg}$

6. Change the Boer result back to pounds, since the formulas work in kilograms

   $\frac{74.734}{0.453592}$$=164.76\text{\hspace{0.17em}lb}$

7. Find the body fat this suggests: the share of your weight that isn't lean mass (using Boer)

   $\left(1-\frac{74.734}{102.058}\right)\times 100$$=\mathrm{26.77\%}$