Question
Give the Grade 7 surface area formula for a cube and a rectangular prism
Answers
GPT-4o mini
For Grade 7, the formulas for the surface area of a cube and a rectangular prism are as follows:
1. **Surface Area of a Cube**:
The surface area \( A \) of a cube with side length \( s \) is given by the formula:
\[
A = 6s^2
\]
This is because a cube has 6 faces, each of which is a square with an area of \( s^2 \).
2. **Surface Area of a Rectangular Prism**:
The surface area \( A \) of a rectangular prism with length \( l \), width \( w \), and height \( h \) is given by the formula:
\[
A = 2(lw + lh + wh)
\]
This accounts for the area of all six faces of the prism.
These formulas can be used to calculate the total surface area of both shapes given their dimensions.
1. **Surface Area of a Cube**:
The surface area \( A \) of a cube with side length \( s \) is given by the formula:
\[
A = 6s^2
\]
This is because a cube has 6 faces, each of which is a square with an area of \( s^2 \).
2. **Surface Area of a Rectangular Prism**:
The surface area \( A \) of a rectangular prism with length \( l \), width \( w \), and height \( h \) is given by the formula:
\[
A = 2(lw + lh + wh)
\]
This accounts for the area of all six faces of the prism.
These formulas can be used to calculate the total surface area of both shapes given their dimensions.