To find the capacity of each of the containers (rectangular prisms) in liters, we can follow these steps:

1. Find the volume in cubic centimeters (cm³) using the formula for the volume of a rectangular prism: $V = \text{length} \times \text{width} \times \text{height}$

2. Convert the volume to liters since $1 \text{ liter} = 1000 \text{ cm}^3$.

Calculations for each container:

a) Dimensions: 10 cm × 15 cm × 10 cm

• Volume = $10 \times 15 \times 10 = 1500 \, \text{cm}^3$
• Capacity = $1500 \, \text{cm}^3 \div 1000 = 1.5 \, \text{liters}$

b) Dimensions: 8 cm × 12 cm × 5 cm

• Volume = $8 \times 12 \times 5 = 480 \, \text{cm}^3$
• Capacity = $480 \, \text{cm}^3 \div 1000 = 0.48 \, \text{liters}$

c) Dimensions: 6 cm × 9 cm × 3 cm

• Volume = $6 \times 9 \times 3 = 162 \, \text{cm}^3$
• Capacity = $162 \, \text{cm}^3 \div 1000 = 0.162 \, \text{liters}$

d) Dimensions: 32 cm × 13 cm × 21 cm

• Volume = $32 \times 13 \times 21 = 8736 \, \text{cm}^3$
• Capacity = $8736 \, \text{cm}^3 \div 1000 = 8.736 \, \text{liters}$

e) Dimensions: 10 cm × 50 cm × (height blurred)

• Since the height is obscured, I can't complete the calculation. Please provide the height.

f) Dimensions: 32 cm × 32 cm × (height blurred)

• The height is also blurred here, so I'll need that to complete the calculation.

Do you have the missing dimensions for e) and f)? Let me know if you'd like more details!

Related questions:

1. How would the capacities change if the dimensions doubled?
2. What is the formula for converting cubic meters to liters?
3. How would you calculate the surface area of each container?
4. How does the volume of a cube differ from that of a rectangular prism?
5. Can you determine the capacity of a sphere given its radius?

Tip: Always double-check your unit conversions to ensure accuracy when switching between cubic centimeters and liters!