Suface area of a rectangulare prism with 6,5,4 side lenghts

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.

Learn how to calculate the surface area of a rectangular prism with side lengths 6 units, 5 units, and 4 units. Use the formula: Surface Area = 2lw + 2lh + 2wh. Follow a step-by-step solution and understand the application of geometry concepts. Suitable for students in Grades 6-8.

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