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!