https://file.aiquickdraw.com/mathbot/file/172971660628370opzm8x.jpg

To solve this problem, we need to determine the lateral surface area of a rectangular prism-shaped cake. The lateral surface area of a rectangular prism excludes the top and bottom faces and is made up of the areas of the four vertical sides.

The formula for the lateral surface area (LSA) of a rectangular prism is:

\[
\text{LSA} = 2h(l + w)
\]

Where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

From the image:
- Length \( l = 3.5 \) feet,
- Width \( w = 2 \) feet,
- Height \( h = 1.8 \) feet.

Now we substitute these values into the formula:

\[
\text{LSA} = 2(1.8)(3.5 + 2)
\]
\[
\text{LSA} = 2(1.8)(5.5)
\]
\[
\text{LSA} = 19.8 \text{ square feet}
\]

So, the lateral surface area of the cake is **19.8 square feet**.

Would you like any further details or have additional questions?

Here are some follow-up questions for more exploration:
1. How would the lateral area change if the height of the cake increased by 1 foot?
2. What is the total surface area of the cake, including the top and bottom?
3. How does lateral surface area differ from total surface area in terms of practical use?
4. What is the formula for the volume of this cake?
5. How would you find the area of just one vertical side of the cake?

**Tip:** Always double-check your measurements before solving for surface areas to avoid any errors in your calculations.

Chef Aisha is preparing a rectangular prism-shaped cake for a special event. The cake has a length of 3.5 feet, a width of 2 feet, and a height of 1.8 feet. Determine the lateral surface area of the cake.

Learn how to calculate the lateral surface area of a rectangular prism-shaped cake with dimensions of 3.5 feet by 2 feet by 1.8 feet. This geometry problem focuses on finding the area of the cake's sides and is suitable for middle school students. Includes a step-by-step solution and formula.

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