Cube Surface Area Calculator

Compute the exact total outer boundary surface area of a cube from its side length with step-by-step arithmetic.

■ Cube Surface Area Calculator

Formula: A = 6a²

Side Edge Length (a) *

Length of one edge of the cube

Decimal Precision Accuracy for computed area

Calculated Cube Surface Area

96 cm²

Step-by-Step Mathematical Breakdown:

1. Side length \( a = 4\text{ cm} \)

2. Formula: \( A = 6a^2 \)

3. Single square face: \( 4^2 = 16\text{ cm}^2 \)

4. Multiply by 6 faces: \( 6 \times 16 = \mathbf{96\text{ cm}^2} \)

What is the formula for the surface area of a cube?

The surface area of a cube is A = 6a², where 'a' is the edge length of any of the cube's 6 equal square faces.

How does cube surface area relate to volume?

The surface-area-to-volume ratio of a cube is (6a²) / (a³) = 6/a. As a cube grows larger, its volume grows faster than its surface area.

Can you find edge length from surface area?

Yes! Invert the formula: a = √(A / 6).