Cube Surface Area Calculator

Surface Area (cm²): Surface Area (m²): Surface Area (mm²): Surface Area (in²): Surface Area (ft²):

Volume (cm³): Volume (m³): Volume (in³): Volume (ft³):

Cube Diagonal (d, cm): Cube Diagonal (d, m): Cube Diagonal (d, in): Cube Diagonal (d, ft):

Face Diagonal (f, cm): Face Diagonal (f, m): Face Diagonal (f, in): Face Diagonal (f, ft):

1. What is a Cube Surface Area Calculator?

Definition: This calculator computes the surface area, volume, cube diagonal (d), and face diagonal (f) of a cube using its edge length (a).

Purpose: Useful for geometry, construction, and design applications, such as calculating material needs for coating or wrapping a cube, and determining its spatial and face diagonals.

2. How Does the Calculator Work?

Formulas:

Surface Area: $Surface Area = 6 a^{2}$
Volume: $Volume = a^{3}$
Cube Diagonal (d): $d = a \sqrt{3}$
Face Diagonal (f): $f = a \sqrt{2}$

Explanation: The input is converted to meters, and the surface area, volume, and diagonals are calculated. Surface area is converted to cm², m², mm², in², and ft²; volume is converted to cm³, m³, in³, and ft³; diagonals are converted to cm, m, in, and ft.

3. Importance of Cube Calculations

Details: Surface area is essential for material estimation (e.g., paint or wrapping), volume for capacity (e.g., storage), and diagonals for spatial fitting or structural analysis.

4. Using the Calculator

Tips: Enter edge length (a) in units (mm, cm, m, in, ft; >0). Results include surface area in cm², m², mm², in², ft², volume in cm³, m³, in³, ft³, and diagonals (d, f) in cm, m, in, ft.