Question: b) The body surface area of a child weighing $29$ kg is enter your response here m squared. (Simplify your answer. Round to the nearest hundredth as needed.)
1. **State the problem:** We need to find the body surface area (BSA) of a child weighing $29$ kg.
2. **Formula used:** A common formula to estimate BSA is the Mosteller formula:
$$\text{BSA} = \sqrt{\frac{\text{weight (kg)} \times \text{height (cm)}}{3600}}$$
However, since height is not given, another common formula based on weight alone is the Meeh formula:
$$\text{BSA} = k \times \text{weight}^{2/3}$$
where $k$ is a constant approximately $0.1$ for humans.
3. **Assuming Meeh formula:**
$$\text{BSA} = 0.1 \times 29^{2/3}$$
4. **Calculate $29^{2/3}$:**
First, calculate the cube root of $29$:
$$\sqrt[3]{29} \approx 3.072$$
Then square it:
$$3.072^2 = 9.437$$
5. **Calculate BSA:**
$$\text{BSA} = 0.1 \times 9.437 = 0.9437$$
6. **Round to nearest hundredth:**
$$\text{BSA} \approx 0.94 \text{ m}^2$$
**Final answer:** The body surface area of the child is approximately $0.94$ m squared.