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To determine the lateral surface area of a rectangular prism, we use the following formula:

\[
Lateral\ Surface\ Area = 2h(l + w)
\]

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

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

Substituting these values into the formula:

\[
Lateral\ Surface\ Area = 2(1.8)(3.5 + 2)
\]

\[
= 2(1.8)(5.5)
\]

\[
= 2 \times 1.8 \times 5.5 = 19.8 \, \text{square feet}.
\]

So, the lateral surface area of the cake is **19.8 ft²**.

Would you like further details or explanations?

Here are 5 related questions you might find useful:
1. How do you calculate the total surface area of a rectangular prism?
2. How would the lateral surface area change if the height doubled?
3. What is the surface area formula for other 3D shapes like cylinders?
4. How can lateral surface area be used in real-world applications?
5. How do you calculate the volume of this rectangular cake?

**Tip:** Lateral surface area does not include the top and bottom surfaces of a prism, only the sides.

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 length 3.5 feet, width 2 feet, and height 1.8 feet. This problem uses the lateral surface area formula 2h(l + w) and covers key geometry concepts. Suitable for students in Grades 6-8.

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