https://file.aiquickdraw.com/mathbot/file/1729331537465tdw4lw47.jpg

The surface area of a cuboid is calculated using the formula:

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

where:
- \( l \) = length
- \( w \) = width
- \( h \) = height

From the image:
- \( l = 17 \, \text{cm} \)
- \( w = 17 \, \text{cm} \)
- \( h = 5 \, \text{cm} \)

Now, applying these to the formula:

\[
\text{Surface Area} = 2(17 \times 17) + 2(17 \times 5) + 2(17 \times 5)
\]

Let's calculate each part:

1. \( 2(17 \times 17) = 2 \times 289 = 578 \, \text{cm}^2 \)
2. \( 2(17 \times 5) = 2 \times 85 = 170 \, \text{cm}^2 \)
3. \( 2(17 \times 5) = 2 \times 85 = 170 \, \text{cm}^2 \)

Adding them together:

\[
\text{Surface Area} = 578 + 170 + 170 = 918 \, \text{cm}^2
\]

So, the surface area of the cuboid is **918 cm²**.

Would you like further details on the process? Here are some related questions:

1. What is the difference between surface area and volume for a cuboid?
2. How would you calculate the surface area if the cuboid had different dimensions?
3. How is the surface area formula related to the areas of the individual faces of the cuboid?
4. How would the surface area change if the height doubled?
5. Can the surface area formula be generalized for a cube?

**Tip**: When working with cuboids, it's useful to visualize each pair of opposite faces to ensure you are including all surface areas in your calculations.

Work out the surface area of the cuboid below. Dimensions: 17 cm x 17 cm x 5 cm. Answer in cm².

Learn how to calculate the surface area of a cuboid with dimensions 17 cm by 17 cm by 5 cm. This problem involves applying the formula for the surface area of a cuboid, with detailed steps to guide you. Suitable for students in Grades 7-9.

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