https://file.aiquickdraw.com/mathbot/file/1727058144554arxvai1n.jpg

Let's go through each of the problems listed in the image.

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**(b)** The average surface area of adult human skin is about \( 1.8 \, \text{m}^2 \). Convert it to:
- \(\text{cm}^2\)
- \(\text{mm}^2\)

**Conversions:**
- \( 1 \, \text{m}^2 = 10,000 \, \text{cm}^2 \)
- \( 1 \, \text{cm}^2 = 100 \, \text{mm}^2 \)

So for \( 1.8 \, \text{m}^2 \):
\[
1.8 \, \text{m}^2 \times 10,000 \, \text{cm}^2/\text{m}^2 = 18,000 \, \text{cm}^2
\]
Then convert to \(\text{mm}^2\):
\[
18,000 \, \text{cm}^2 \times 100 \, \text{mm}^2/\text{cm}^2 = 1,800,000 \, \text{mm}^2
\]

---

**(c)** The average density of a human jaw bone is \( 1.069 \, \text{oz/in}^3 \) (ounces per cubic inch). Convert this to \( \text{g/cm}^3 \).

**Conversions:**
- \( 1 \, \text{oz} = 28.3495 \, \text{g} \)
- \( 1 \, \text{in}^3 = 16.3871 \, \text{cm}^3 \)

Now, use these conversions:
\[
1.069 \, \text{oz/in}^3 \times \frac{28.3495 \, \text{g}}{1 \, \text{oz}} \times \frac{1 \, \text{in}^3}{16.3871 \, \text{cm}^3}
\]
Let's calculate this next.

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**(d)** Average blood flow through an adult human brain is between 750 and 1000 ml/min. Express this range in \( \text{l/s} \) (litres per second).

**Conversions:**
- \( 1 \, \text{ml} = 0.001 \, \text{l} \)
- \( 1 \, \text{minute} = 60 \, \text{seconds} \)

For \( 750 \, \text{ml/min} \):
\[
750 \, \text{ml/min} = 0.750 \, \text{l/min}
\]
Convert to litres per second:
\[
0.750 \, \text{l/min} \times \frac{1}{60} \, \text{min/s} = 0.0125 \, \text{l/s}
\]

For \( 1000 \, \text{ml/min} \):
\[
1000 \, \text{ml/min} = 1.000 \, \text{l/min}
\]
Convert to litres per second:
\[
1.000 \, \text{l/min} \times \frac{1}{60} = 0.0167 \, \text{l/s}
\]
So the range is between \( 0.0125 \, \text{l/s} \) and \( 0.0167 \, \text{l/s} \).

---

**(e)** The average speed of a garden snail is \( 0.03 \, \text{mph} \) (miles per hour). Convert this to \( \text{m/s} \) (metres per second).

**Conversions:**
- \( 1 \, \text{mile} = 1609.34 \, \text{m} \)
- \( 1 \, \text{hour} = 3600 \, \text{seconds} \)

\[
0.03 \, \text{mph} = 0.03 \times \frac{1609.34 \, \text{m}}{1 \, \text{mile}} \times \frac{1}{3600 \, \text{seconds/hour}} 
\]

---

**(f)** A large banana slug covers 6.5 inches in 120 minutes. What is its speed in \( \text{km/h} \)?

**Conversions:**
- \( 1 \, \text{inch} = 0.0254 \, \text{m} \)
- \( 1 \, \text{km} = 1000 \, \text{m} \)
- \( 1 \, \text{minute} = \frac{1}{60} \, \text{hour} \)

Let's start by converting the distance covered (6.5 inches):
\[
6.5 \, \text{inches} \times 0.0254 \, \text{m/inch} = 0.1651 \, \text{m}
\]
Now convert time:
\[
120 \, \text{minutes} = 2 \, \text{hours}
\]
So the speed is:
\[
\frac{0.1651 \, \text{m}}{2 \, \text{hours}} \times \frac{1 \, \text{km}}{1000 \, \text{m}} = 0.00008255 \, \text{km/h}
\]

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I can compute all these results in more detail or continue based on your next preference! Would you like more details or have any questions? 

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Here are 5 related questions:
1. How is surface area related to volume in biological structures?
2. What are common uses of density conversions in medicine or biology?
3. How is blood flow measured in medical practice, and what units are used?
4. How do different units of speed conversion apply in everyday life scenarios?
5. How does biological speed, such as that of a snail or slug, compare to other creatures?

**Tip:** Whenever converting between units, it’s essential to use consistent conversion factors and double-check values for precision!

The average surface area of adult human skin is about 1.8 m². Convert it to cm² and mm².
The average density of a human jaw bone is 1.069 oz/in³ (ounces per cubic inch). Convert this quantity into g/cm³.
Average blood flow through an adult human brain is between 750 and 1000 ml/min (millilitres per minute). Express this range in l/s (litres per second).
The average speed of a garden snail is 0.03 mph (miles per hour). Convert it into m/s (metres per second).
A large banana slug covers 6.5 inches in 120 minutes. What is its speed in km/h?

Convert surface area, density, and speed units using real-life biological examples. Learn how to express human skin surface area in cm² and mm², convert human jaw bone density from oz/in³ to g/cm³, calculate blood flow in l/s, and determine the speed of snails and slugs in various units.

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