To calculate the surface area of a rectangular prism, you can use the formula:

$\text{Surface Area} = 2lw + 2lh + 2wh$

Where:

• $l$ is the length
• $w$ is the width
• $h$ is the height

Given side lengths:

• $l = 6$ units
• $w = 5$ units
• $h = 4$ units

Now, substitute the values into the formula:

$\text{Surface Area} = 2(6 \times 5) + 2(6 \times 4) + 2(5 \times 4)$ $\text{Surface Area} = 2(30) + 2(24) + 2(20)$ $\text{Surface Area} = 60 + 48 + 40$ $\text{Surface Area} = 148 \text{ square units}$

Answer: The surface area of the rectangular prism is 148 square units.

Would you like further details, or do you have any additional questions? Here are some related questions you might find useful:

1. How does the surface area of a cube differ from that of a rectangular prism?
2. What is the formula for the volume of a rectangular prism?
3. How would the surface area change if one of the side lengths doubled?
4. How can you determine the dimensions of a rectangular prism if you only know its surface area?
5. What is the significance of surface area in real-world applications, like packaging design?

Tip: Always double-check your calculations by ensuring that each pair of faces is correctly accounted for when calculating surface area.