Body Surface Area worksheet

1. Body surface area (Mosteller): 2.45 m²

1. Mosteller's formula multiplies height H (cm) by weight W (kg), divides by 3,600, then takes the square root

   $\text{BSA}$$=\sqrt{\frac{\text{H}\times \text{W}}{\mathrm{3,600}}}$

2. Put in your height and weight and work it out

   $\sqrt{\frac{240\times 90}{\mathrm{3,600}}}$$=\sqrt{6}$$=2.4495\text{\hspace{0.17em}m²}$

2. Body surface area (DuBois & DuBois): 1.43 m²

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. The DuBois formula raises weight W (kg) and height H (cm) to set powers, then multiplies by 0.007184

   $\text{BSA}$$=0.007184\times {\text{W}}^{0.425}\times {\text{H}}^{0.725}$

4. Raise weight and height to their powers

   ${54.431}^{0.425}=5.4668\text{;}{142.24}^{0.725}=36.3865$

5. Multiply the terms

   $0.007184\times 5.4668\times 36.3865$$=1.429\text{\hspace{0.17em}m²}$

3. Body surface area (Boyd): 2.07 m²

1. Boyd's formula uses weight in grams (Wg). The power on weight changes a little as weight changes

   $\text{BSA}$$=0.000321\times {\text{H}}^{0.3}\times {\text{Wg}}^{\text{e}}$

2. Convert weight to grams

   $90\times \mathrm{1,000}$$=\mathrm{90,000}\text{\hspace{0.17em}g}$

3. Work out the power to raise the weight to, using its common log (log₁₀)

   $0.7285-0.0188\times \text{log₁₀}\mathrm{90,000}$$=0.63536$

4. Multiply the terms

   $0.000321\times 4.5839\times \mathrm{1,405.1695}$$=2.0657\text{\hspace{0.17em}m²}$

4. Body surface area (Boyd): 1.71 m²

1. Boyd's formula uses weight in grams (Wg). The power on weight changes a little as weight changes

   $\text{BSA}$$=0.000321\times {\text{H}}^{0.3}\times {\text{Wg}}^{\text{e}}$

2. Convert weight to grams

   $65\times \mathrm{1,000}$$=\mathrm{65,000}\text{\hspace{0.17em}g}$

3. Work out the power to raise the weight to, using its common log (log₁₀)

   $0.7285-0.0188\times \text{log₁₀}\mathrm{65,000}$$=0.638017$

4. Multiply the terms

   $0.000321\times 4.5405\times \mathrm{1,176.8514}$$=1.7136\text{\hspace{0.17em}m²}$

5. Body surface area (Mosteller): 1.92 m²

1. Mosteller's formula multiplies height H (cm) by weight W (kg), divides by 3,600, then takes the square root

   $\text{BSA}$$=\sqrt{\frac{\text{H}\times \text{W}}{\mathrm{3,600}}}$

2. Put in your height and weight and work it out

   $\sqrt{\frac{140\times 95}{\mathrm{3,600}}}$$=\sqrt{3.694444}$$=1.9221\text{\hspace{0.17em}m²}$

6. Body surface area (Haycock): 2.54 m²

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. The Haycock formula raises weight W (kg) and height H (cm) to set powers, then multiplies by 0.024265

   $\text{BSA}$$=0.024265\times {\text{W}}^{0.5378}\times {\text{H}}^{0.3964}$

4. Raise weight and height to their powers

   ${99.79}^{0.5378}=11.888\text{;}{241.3}^{0.3964}=8.7993$

5. Multiply the terms

   $0.024265\times 11.888\times 8.7993$$=2.5383\text{\hspace{0.17em}m²}$

7. Body surface area (Mosteller): 1.71 m²

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. Mosteller's formula multiplies height H (cm) by weight W (kg), divides by 3,600, then takes the square root

   $\text{BSA}$$=\sqrt{\frac{\text{H}\times \text{W}}{\mathrm{3,600}}}$

4. Put in your height and weight and work it out

   $\sqrt{\frac{177.8\times 58.967}{\mathrm{3,600}}}$$=\sqrt{2.912315}$$=1.7066\text{\hspace{0.17em}m²}$

8. Body surface area (Mosteller): 1.85 m²

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. Mosteller's formula multiplies height H (cm) by weight W (kg), divides by 3,600, then takes the square root

   $\text{BSA}$$=\sqrt{\frac{\text{H}\times \text{W}}{\mathrm{3,600}}}$

4. Put in your height and weight and work it out

   $\sqrt{\frac{170.18\times 72.575}{\mathrm{3,600}}}$$=\sqrt{3.430771}$$=1.8522\text{\hspace{0.17em}m²}$

9. Body surface area (Boyd): 2.27 m²

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. Boyd's formula uses weight in grams (Wg). The power on weight changes a little as weight changes

   $\text{BSA}$$=0.000321\times {\text{H}}^{0.3}\times {\text{Wg}}^{\text{e}}$

4. Convert weight to grams

   $95.254\times \mathrm{1,000}$$=\mathrm{95,254}\text{\hspace{0.17em}g}$

5. Work out the power to raise the weight to, using its common log (log₁₀)

   $0.7285-0.0188\times \text{log₁₀}\mathrm{95,254}$$=0.634897$

6. Multiply the terms

   $0.000321\times 4.8874\times \mathrm{1,449.0353}$$=2.2712\text{\hspace{0.17em}m²}$

10. Body surface area (Boyd): 2.38 m²

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. Boyd's formula uses weight in grams (Wg). The power on weight changes a little as weight changes

   $\text{BSA}$$=0.000321\times {\text{H}}^{0.3}\times {\text{Wg}}^{\text{e}}$

4. Convert weight to grams

   $102.058\times \mathrm{1,000}$$=\mathrm{102,058}\text{\hspace{0.17em}g}$

5. Work out the power to raise the weight to, using its common log (log₁₀)

   $0.7285-0.0188\times \text{log₁₀}\mathrm{102,058}$$=0.634334$

6. Multiply the terms

   $0.000321\times 4.9431\times \mathrm{1,504.1149}$$=2.3844\text{\hspace{0.17em}m²}$