To find the surface area of a cube, use the formula:
Surface Area=6×(side length)2\text{Surface Area}=6\times (\text{side length})^2Surface Area=6×(side length)2
This is because a cube has six congruent square faces, and the area of one face is the square of the side length. Multiplying this by six gives the total surface area covering all faces of the cube
Steps to calculate surface area of a cube:
- Measure the length of one edge of the cube (denote it as sss).
- Calculate the area of one square face: s2s^2s2.
- Multiply by 6 to get the total surface area: 6×s26\times s^26×s2.
Example:
If the edge length of a cube is 11 mm, the surface area is:
6×112=6×121=726 mm26\times 11^2=6\times 121=726\text{ mm}^26×112=6×121=726 mm2
So, the surface area is 726 square millimeters
Additional notes:
- Surface area is expressed in square units (e.g., cm², m²).
- Ensure all measurements are in the same units before calculating.
- If you know the volume of the cube instead of the side length, find the side length by taking the cube root of the volume, then apply the surface area formula
This formula and method are standard and widely used for calculating the surface area of cubes.
