https://file.aiquickdraw.com/mathbot/file/1727057586366n60v1tr7.jpg

The assignment consists of problems related to unit conversion. Let's go through each of them and solve them step-by-step:

1. **(a) The average volume of an adult human eyeball is 5.5 cm³. What is its volume expressed in in³ (cubic inches)?**
   
   To convert cubic centimeters (cm³) to cubic inches (in³), use the conversion factor:
   \[
   1 \text{ cm}^3 = 0.0610237 \text{ in}^3
   \]

   So, the volume in cubic inches is:
   \[
   5.5 \text{ cm}^3 \times 0.0610237 \text{ in}^3/\text{cm}^3 = 0.3356 \text{ in}^3
   \]

2. **(b) The average surface area of adult human skin is about 1.8 m². Convert it to cm² and to mm².**
   
   - **To convert from m² to cm²:**
     \[
     1 \text{ m}^2 = 10,000 \text{ cm}^2
     \]
     Therefore:
     \[
     1.8 \text{ m}^2 \times 10,000 \text{ cm}^2/\text{m}^2 = 18,000 \text{ cm}^2
     \]

   - **To convert from m² to mm²:**
     \[
     1 \text{ m}^2 = 1,000,000 \text{ mm}^2
     \]
     Therefore:
     \[
     1.8 \text{ m}^2 \times 1,000,000 \text{ mm}^2/\text{m}^2 = 1,800,000 \text{ mm}^2
     \]

3. **(c) The average density of a human jaw bone is 1.069 oz/in³. Convert this quantity into g/cm³.**
   
   - Conversion factors:
     \[
     1 \text{ oz/in}^3 = 1.729994 \text{ g/cm}^3
     \]
     So, the density in g/cm³ is:
     \[
     1.069 \text{ oz/in}^3 \times 1.729994 \text{ g/cm}^3/\text{oz/in}^3 = 1.847 \text{ g/cm}^3
     \]

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

   - Conversion:
     \[
     1 \text{ ml/min} = 1.66667 \times 10^{-5} \text{ l/s}
     \]

   - For the lower limit (750 ml/min):
     \[
     750 \text{ ml/min} \times 1.66667 \times 10^{-5} \text{ l/s} = 0.0125 \text{ l/s}
     \]

   - For the upper limit (1000 ml/min):
     \[
     1000 \text{ ml/min} \times 1.66667 \times 10^{-5} \text{ l/s} = 0.01667 \text{ l/s}
     \]

   The range in liters per second is 0.0125 l/s to 0.01667 l/s.

5. **(e) The average speed of a garden snail is 0.03 mph (miles per hour). Convert it into m/s (meters per second).**

   - Conversion factor:
     \[
     1 \text{ mph} = 0.44704 \text{ m/s}
     \]
     So, the speed in m/s is:
     \[
     0.03 \text{ mph} \times 0.44704 \text{ m/s/mph} = 0.0134112 \text{ m/s}
     \]

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

   - First, convert 6.5 inches to meters:
     \[
     1 \text{ inch} = 0.0254 \text{ m}
     \]
     So:
     \[
     6.5 \text{ inches} \times 0.0254 \text{ m/inch} = 0.1651 \text{ m}
     \]

   - Next, convert 120 minutes to hours:
     \[
     120 \text{ minutes} = 2 \text{ hours}
     \]

   - Speed in m/h:
     \[
     \text{Speed} = \frac{0.1651 \text{ m}}{2 \text{ h}} = 0.08255 \text{ m/h}
     \]

   - Finally, convert m/h to km/h:
     \[
     1 \text{ m} = 0.001 \text{ km}
     \]
     So:
     \[
     0.08255 \text{ m/h} \times 0.001 \text{ km/m} = 0.00008255 \text{ km/h}
     \]

If you need further details or explanations on any of these conversions, please let me know!

---

### Related Questions:
1. How do you convert volume from cubic meters to liters?
2. What is the process of converting surface area from square kilometers to square meters?
3. How can you convert the speed from feet per second to kilometers per hour?
4. What are the conversion factors for different units of pressure, such as from psi to Pascal?
5. How would you convert angular speed from radians per second to degrees per second?

### Tip:
Always remember to check unit consistency when performing conversions, especially in complex problems involving multiple unit changes.

The average volume of an adult human eyeball is 5.5 cm³. What is its volume expressed in cubic inches? 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. Convert this quantity into g/cm³. Average blood flow through an adult human brain is between 750 and 1000 ml/min. Express this range in l/s. The average speed of a garden snail is 0.03 mph. Convert it into m/s. A large banana slug covers 6.5 inches in 120 minutes. What is its speed in km/h?

This exercise covers unit conversions such as volume of an eyeball (cm³ to in³), surface area of skin (m² to cm² and mm²), and speed of a snail (mph to m/s). Additionally, density of a jaw bone and brain blood flow rate conversions are included.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation