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Army Body Fat worksheet

Grades 6–7

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

1.
Problem 1.
- Sex: Female
- Units: Inches and pounds
- Height: 68
- Waist at the navel: 40
- Body weight: 200
Find: Waist-to-height ratio
Answer
2.
Problem 2.
- Sex: Male
- Units: Centimeters and kilograms
- Height: 72
- Waist at the navel: 34
- Body weight: 200
Find: Waist-to-height ratio
Answer
3.
Problem 3.
- Sex: Male
- Units: Inches and pounds
- Height: 62
- Waist at the navel: 34
- Body weight: 150
Find: Waist-to-height ratio
Answer
4.
Problem 4.
- Sex: Male
- Units: Inches and pounds
- Height: 62
- Waist at the navel: 34
- Body weight: 190
Find: Waist-to-height ratio
Answer
5.
Problem 5.
- Sex: Male
- Units: Inches and pounds
- Height: 62
- Waist at the navel: 34
- Body weight: 180
Find: Waist-to-height ratio
Answer
6.
Problem 6.
- Sex: Female
- Units: Inches and pounds
- Height: 64
- Waist at the navel: 36
- Body weight: 170
Find: Waist-to-height ratio
Answer
7.
Problem 7.
- Sex: Female
- Units: Inches and pounds
- Height: 72
- Waist at the navel: 34
- Body weight: 190
Find: Waist-to-height ratio
Answer
8.
Problem 8.
- Sex: Female
- Units: Inches and pounds
- Height: 72
- Waist at the navel: 30
- Body weight: 160
Find: Waist-to-height ratio
Answer
9.
Problem 9.
- Sex: Male
- Units: Inches and pounds
- Height: 64
- Waist at the navel: 38
- Body weight: 180
Find: Waist-to-height ratio
Answer
10.
Problem 10.
- Sex: Male
- Units: Inches and pounds
- Height: 62
- Waist at the navel: 36
- Body weight: 200
Find: Waist-to-height ratio
Answer

Answer key: Army Body Fat worksheet

1. Waist-to-height ratio: 0.588
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{40 in}{68 in}$ $= 0.588235$
2. The ratio is 0.55 or more, so it is at or above the current Army limit
  $0.588 ≥ 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 68 in$ $= 37.4 in$
4. Former one-site tape equation for women (AD 2023-11, now rescinded)
  $body fat %$ $= −9.15 - 0.015 \times 200 + 1.27 \times 40$ $= 38.65%$
5. That directive rounded the result to the nearest whole percent
  $38.65% ≈ 39%$
2. Waist-to-height ratio: 0.472
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{34 cm}{72 cm}$ $= 0.472222$
2. The ratio is below 0.55, so it is within the current Army standard
  $0.472 < 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 72 cm$ $= 39.6 cm$
4. For the former tape equation, convert to pounds and inches (1 lb = 0.45359237 kg, 1 in = 2.54 cm)
  $\frac{200}{0.45359237} = 440.92 lb; \frac{34}{2.54} = 13.39 in$
5. Former one-site tape equation for men (AD 2023-11, now rescinded)
  $body fat %$ $= −26.97 - 0.12 \times 440.92 + 1.99 \times 13.39$ $= −53.24%$
6. That directive rounded the result to the nearest whole percent
  $−53.24% ≈ −53%$
3. Waist-to-height ratio: 0.548
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{34 in}{62 in}$ $= 0.548387$
2. The ratio is below 0.55, so it is within the current Army standard
  $0.548 < 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 62 in$ $= 34.1 in$
4. Former one-site tape equation for men (AD 2023-11, now rescinded)
  $body fat %$ $= −26.97 - 0.12 \times 150 + 1.99 \times 34$ $= 22.69%$
5. That directive rounded the result to the nearest whole percent
  $22.69% ≈ 23%$
4. Waist-to-height ratio: 0.548
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{34 in}{62 in}$ $= 0.548387$
2. The ratio is below 0.55, so it is within the current Army standard
  $0.548 < 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 62 in$ $= 34.1 in$
4. Former one-site tape equation for men (AD 2023-11, now rescinded)
  $body fat %$ $= −26.97 - 0.12 \times 190 + 1.99 \times 34$ $= 17.89%$
5. That directive rounded the result to the nearest whole percent
  $17.89% ≈ 18%$
5. Waist-to-height ratio: 0.548
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{34 in}{62 in}$ $= 0.548387$
2. The ratio is below 0.55, so it is within the current Army standard
  $0.548 < 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 62 in$ $= 34.1 in$
4. Former one-site tape equation for men (AD 2023-11, now rescinded)
  $body fat %$ $= −26.97 - 0.12 \times 180 + 1.99 \times 34$ $= 19.09%$
5. That directive rounded the result to the nearest whole percent
  $19.09% ≈ 19%$
6. Waist-to-height ratio: 0.563
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{36 in}{64 in}$ $= 0.5625$
2. The ratio is 0.55 or more, so it is at or above the current Army limit
  $0.563 ≥ 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 64 in$ $= 35.2 in$
4. Former one-site tape equation for women (AD 2023-11, now rescinded)
  $body fat %$ $= −9.15 - 0.015 \times 170 + 1.27 \times 36$ $= 34.02%$
5. That directive rounded the result to the nearest whole percent
  $34.02% ≈ 34%$
7. Waist-to-height ratio: 0.472
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{34 in}{72 in}$ $= 0.472222$
2. The ratio is below 0.55, so it is within the current Army standard
  $0.472 < 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 72 in$ $= 39.6 in$
4. Former one-site tape equation for women (AD 2023-11, now rescinded)
  $body fat %$ $= −9.15 - 0.015 \times 190 + 1.27 \times 34$ $= 31.18%$
5. That directive rounded the result to the nearest whole percent
  $31.18% ≈ 31%$
8. Waist-to-height ratio: 0.417
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{30 in}{72 in}$ $= 0.416667$
2. The ratio is below 0.55, so it is within the current Army standard
  $0.417 < 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 72 in$ $= 39.6 in$
4. Former one-site tape equation for women (AD 2023-11, now rescinded)
  $body fat %$ $= −9.15 - 0.015 \times 160 + 1.27 \times 30$ $= 26.55%$
5. That directive rounded the result to the nearest whole percent
  $26.55% ≈ 27%$
9. Waist-to-height ratio: 0.594
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{38 in}{64 in}$ $= 0.59375$
2. The ratio is 0.55 or more, so it is at or above the current Army limit
  $0.594 ≥ 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 64 in$ $= 35.2 in$
4. Former one-site tape equation for men (AD 2023-11, now rescinded)
  $body fat %$ $= −26.97 - 0.12 \times 180 + 1.99 \times 38$ $= 27.05%$
5. That directive rounded the result to the nearest whole percent
  $27.05% ≈ 27%$
10. Waist-to-height ratio: 0.581
1. Divide the waist measurement at the navel by height (both in the same units)
  $WHtR$ $= \frac{36 in}{62 in}$ $= 0.580645$
2. The ratio is 0.55 or more, so it is at or above the current Army limit
  $0.581 ≥ 0.55$
3. For this height, the waist must be less than 0.55 × height
  $0.55 \times 62 in$ $= 34.1 in$
4. Former one-site tape equation for men (AD 2023-11, now rescinded)
  $body fat %$ $= −26.97 - 0.12 \times 200 + 1.99 \times 36$ $= 20.67%$
5. That directive rounded the result to the nearest whole percent
  $20.67% ≈ 21%$