Question
Surface area formula for cube and rectangular prism
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GPT-4o mini
The surface area formulas for a cube and a rectangular prism (also known as a rectangular box) are as follows:
1. **Cube:**
A cube has six equal square faces. If the length of one side of the cube is \( s \), the surface area \( SA \) is given by the formula:
\[
SA = 6s^2
\]
2. **Rectangular Prism:**
A rectangular prism has six faces that are rectangles. If the lengths of the three dimensions are \( l \) (length), \( w \) (width), and \( h \) (height), the surface area \( SA \) is calculated using the formula:
\[
SA = 2(lw + lh + wh)
\]
These formulas will allow you to calculate the surface area of both shapes based on their respective dimensions.
1. **Cube:**
A cube has six equal square faces. If the length of one side of the cube is \( s \), the surface area \( SA \) is given by the formula:
\[
SA = 6s^2
\]
2. **Rectangular Prism:**
A rectangular prism has six faces that are rectangles. If the lengths of the three dimensions are \( l \) (length), \( w \) (width), and \( h \) (height), the surface area \( SA \) is calculated using the formula:
\[
SA = 2(lw + lh + wh)
\]
These formulas will allow you to calculate the surface area of both shapes based on their respective dimensions.
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