https://file.aiquickdraw.com/mathbot/file/1727594489209xv87vmuu.jpg

Let's analyze the questions in the image. Here's a breakdown of what's asked:

### Question 15:
It provides a reference that if \( x \) is any number, then \( x \) liters is the same as \( 1000x = 1000x \) milliliters because there are 1000 mL in 1 L.

- You're asked to write expressions for \( x \) L in the following units:
  a. \( \text{cm}^3 \)  
  b. \( \text{m}^3 \)  
  c. kL (kiloliters)  
  d. ML (megaliters)

### Question 16:
It presents a rectangular prism with length \( l \) cm, width \( w \) cm, and height \( h \) cm, asking you to write expressions for the capacity of the container in several units.

#### 16a:
Capacity in:
  - i. \( \text{cm}^3 \)
  - ii. \( \text{mL} \)
  - iii. \( L \)
  - iv. \( kL \)
  
#### 16b:
A rectangular prism with length \( l \) m, width \( w \) m, and height \( h \) m. Write an expression for the capacity of the container in:
  - i. \( \text{m}^3 \)
  - ii. \( L \)
  - iii. \( kL \)
  - iv. \( ML \)

---

Now, I'll solve the problems:

### Question 15: Writing expressions for \( x \) liters in various units.

1. **a. cm³**:  
   Since 1 liter \( = 1000 \, \text{cm}^3 \), for \( x \) liters:
   \[
   x \, \text{L} = 1000x \, \text{cm}^3
   \]

2. **b. m³**:  
   Since 1 liter \( = 0.001 \, \text{m}^3 \):
   \[
   x \, \text{L} = 0.001x \, \text{m}^3
   \]

3. **c. kL (kiloliters)**:  
   Since 1 liter \( = 0.001 \, \text{kL} \):
   \[
   x \, \text{L} = 0.001x \, \text{kL}
   \]

4. **d. ML (megaliters)**:  
   Since 1 liter \( = 0.000001 \, \text{ML} \):
   \[
   x \, \text{L} = 0.000001x \, \text{ML}
   \]

---

### Question 16: Expressions for the capacity of a rectangular prism in different units.

#### 16a: For a rectangular prism with dimensions in cm.
- **i. cm³**:  
  The volume of the prism is:
  \[
  V = l \times w \times h \, \text{cm}^3
  \]

- **ii. mL**:  
  Since 1 \( \text{cm}^3 = 1 \, \text{mL} \):
  \[
  V = l \times w \times h \, \text{mL}
  \]

- **iii. L**:  
  Since 1000 \( \text{cm}^3 = 1 \, \text{L} \):
  \[
  V = \frac{l \times w \times h}{1000} \, \text{L}
  \]

- **iv. kL**:  
  Since 1 \( \text{kL} = 1000 \, \text{L} \), we divide by 1,000,000:
  \[
  V = \frac{l \times w \times h}{1,000,000} \, \text{kL}
  \]

#### 16b: For a rectangular prism with dimensions in meters.

- **i. m³**:  
  The volume in \( \text{m}^3 \):
  \[
  V = l \times w \times h \, \text{m}^3
  \]

- **ii. L**:  
  Since 1 \( \text{m}^3 = 1000 \, \text{L} \):
  \[
  V = 1000 \times l \times w \times h \, \text{L}
  \]

- **iii. kL**:  
  Since 1 \( \text{kL} = 1000 \, \text{L} \):
  \[
  V = l \times w \times h \, \text{kL}
  \]

- **iv. ML**:  
  Since 1 \( \text{ML} = 1,000,000 \, \text{L} \):
  \[
  V = \frac{l \times w \times h}{1000} \, \text{ML}
  \]

---

Let me know if you'd like any more details or further explanation on any part!

### 5 Related Questions:
1. How do you convert between liters and cubic meters?
2. What is the volume of a rectangular prism with sides 5 cm, 3 cm, and 2 cm in liters?
3. How would you express 5 kL in megaliters?
4. How does volume in cubic centimeters relate to milliliters and liters?
5. If you have a prism of dimensions 2m × 3m × 4m, what is the capacity in kiloliters?

### Tip:
Always remember that 1 cm³ is exactly equivalent to 1 mL, making conversion between these units straightforward!

If x is any number, then x liters is the same as 1000x milliliters because there are 1000 mL in 1 L. Write expressions for x in the following units: a. cm³, b. m³, c. kL, d. ML. Also, solve a rectangular prism's volume given dimensions in cm or m, and express the capacity in cm³, mL, L, kL, and ML.

Solve unit conversion problems for volumes, including rectangular prisms. Convert between liters, cubic centimeters, cubic meters, kiloliters, and megaliters, and learn how to express volumes in different units. Suitable for students in Grades 8-10.

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