Cube Surface Area Formula
The cube surface area formula is a Grade 7 geometry concept in Big Ideas Math Advanced 2, Chapter 14: Surface Area and Volume. A cube with all sides of length s has 6 identical square faces, so its surface area equals 6 times s squared. For example, a cube with side length 2.5 inches has a surface area of 6 times 6.25 equals 37.5 square inches.
Key Concepts
A cube is a rectangular solid whose length, width, and height are equal. For any cube with sides of length $s$:.
Surface Area: $S = 6s^2$.
Common Questions
What is the formula for the surface area of a cube?
The surface area of a cube with side length s is S equals 6s squared. Since a cube has 6 identical square faces, each with area s squared, the total is 6 times s squared.
How is a cube different from a rectangular prism?
A cube is a special rectangular prism where all three dimensions — length, width, and height — are equal. This means all six faces are identical squares.
How do you calculate the surface area of a cube with side 4 feet?
Use S equals 6s squared. With s equal to 4, the surface area is 6 times 4 squared equals 6 times 16 equals 96 square feet.
What textbook covers cube surface area formula in Grade 7?
Big Ideas Math Advanced 2, Chapter 14: Surface Area and Volume covers the cube surface area formula and related 3D geometry.