Translate the sentence into an equation or formula.

The surface area SA of a rectangular prism is 2 times the sum of the width (w) times height (h), and length ( 𝓁
 ) times width, and length times height.

The sentence can be translated into the following formula for the surface area (SA) of a rectangular prism:

\[
SA = 2(w \cdot h + \ell \cdot w + \ell \cdot h)
\]

Where:
- \( SA \) is the surface area
- \( w \) is the width
- \( h \) is the height
- \( \ell \) is the length

This formula accounts for the fact that a rectangular prism has six faces, with three pairs of opposite faces having equal areas.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you derive the surface area of a rectangular prism step by step?
2. How does the surface area formula change for a cube?
3. What is the surface area if \( w = 3 \), \( h = 4 \), and \( \ell = 5 \)?
4. How does the formula for surface area differ from the formula for volume?
5. Can you express the surface area formula for a cylinder?

**Tip:** When calculating surface area, always remember to multiply the areas of each pair of faces by 2 since each pair occurs twice in the shape.

Translate the sentence into an equation or formula: The surface area SA of a rectangular prism is 2 times the sum of the width (w) times height (h), and length (ℓ) times width, and length times height.

Understand how to calculate the surface area of a rectangular prism with the formula SA = 2(w*h + ℓ*w + ℓ*h). This detailed explanation covers key geometry concepts and is suitable for students in Grades 6-8.

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