Our Cube Calculator is a powerful tool designed to help you quickly determine various properties of a cube. By simply entering one known value, such as edge length, base area, or volume, the calculator will automatically compute the remaining attributes.
This includes the cube’s surface area, face diagonal, and space diagonal, making it easy to understand the cube’s geometry. Whether you’re a student, teacher, or professional, this calculator offers precise results for your geometric needs.
Cube Calculator
Please fill in one field, and the rest will be automatically calculated:
Calculate Cube Edge Length
The edge length of a cube is a crucial dimension that influences all other measurements of the cube. The edge length (a) is the length of any side of the cube. The fundamental formula for calculating the edge length when the base area is known is:
\( a = \sqrt{A} \)Below is a table showing the adjusted formulas for calculating the edge length based on different given values:
| Given Value | Formula for Calculating a |
|---|---|
| Base Area (A) | \( a = \sqrt{A} \) |
| Surface Area (SA) | \( a = \sqrt{\frac{SA}{6}} \) |
| Volume (V) | \( a = \sqrt[3]{V} \) |
| Face Diagonal (d) | \( a = \frac{d}{\sqrt{2}} \) |
| Space Diagonal (D) | \( a = \frac{D}{\sqrt{3}} \) |
Calculate Cube Base Area
The base area of a cube is the square that forms one of its sides. It is calculated by squaring the edge length. The fundamental formula is:
\( A = a^2 \)In the following table, you will find the adjusted formulas for calculating the base area from different given values:
| Given Value | Formula for Calculating A |
|---|---|
| Edge Length (a) | \( A = a^2 \) |
| Surface Area (SA) | \( A = \frac{SA}{6} \) |
| Volume (V) | \( A = \sqrt[3]{V}^2 \) |
| Face Diagonal (d) | \( A = \left( \frac{d}{\sqrt{2}} \right)^2 \) |
| Space Diagonal (D) | \( A = \left( \frac{D}{\sqrt{3}} \right)^2 \) |
Calculate Cube Surface Area
The surface area of a cube includes all six equal-sized faces. To calculate the total surface area, multiply the base area by six. The fundamental formula is:
\( SA = 6 \cdot a^2 \)Here are the formulas for calculating the surface area based on different given values:
| Given Value | Formula for Calculating SA |
|---|---|
| Edge Length (a) | \( SA = 6 \cdot a^2 \) |
| Base Area (A) | \( SA = 6 \cdot A \) |
| Volume (V) | \( SA = 6 \cdot \sqrt[3]{V}^2 \) |
| Face Diagonal (d) | \( SA = 6 \cdot \left( \frac{d}{\sqrt{2}} \right)^2 \) |
| Space Diagonal (D) | \( SA = 6 \cdot \left( \frac{D}{\sqrt{3}} \right)^2 \) |
Calculate Cube Volume
The volume of a cube represents the amount of space it occupies. It is calculated by cubing the edge length. The fundamental formula is:
\( V = a^3 \)The table below shows how to calculate the volume from different given values:
| Given Value | Formula for Calculating V |
|---|---|
| Edge Length (a) | \( V = a^3 \) |
| Base Area (A) | \( V = A \cdot \sqrt{A} \) |
| Surface Area (SA) | \( V = \left( \frac{SA}{6} \right)^{\frac{3}{2}} \) |
| Face Diagonal (d) | \( V = \left( \frac{d}{\sqrt{2}} \right)^3 \) |
| Space Diagonal (D) | \( V = \left( \frac{D}{\sqrt{3}} \right)^3 \) |
Calculate Cube Face Diagonal
The face diagonal of a cube is the diagonal that connects two opposite corners of a face. It can be calculated using the edge length and the square root of two. The fundamental formula is:
\( d = a \cdot \sqrt{2} \)Below are the formulas for calculating the face diagonal based on different given values:
| Given Value | Formula for Calculating d |
|---|---|
| Edge Length (a) | \( d = a \cdot \sqrt{2} \) |
| Base Area (A) | \( d = \sqrt{A} \cdot \sqrt{2} \) |
| Surface Area (SA) | \( d = \sqrt{\frac{SA}{6}} \cdot \sqrt{2} \) |
| Volume (V) | \( d = \sqrt[3]{V} \cdot \sqrt{2} \) |
| Space Diagonal (D) | \( d = \frac{D \cdot \sqrt{2}}{\sqrt{3}} \) |
Calculate Cube Space Diagonal
The space diagonal of a cube is the longest diagonal that connects two opposite corners of the cube. It can be calculated using the edge length and the square root of three. The fundamental formula is:
\( D = a \cdot \sqrt{3} \)The following table provides formulas for calculating the space diagonal based on different given values:
| Given Value | Formula for Calculating D |
|---|---|
| Edge Length (a) | \( D = a \cdot \sqrt{3} \) |
| Base Area (A) | \( D = \sqrt{A} \cdot \sqrt{3} \) |
| Surface Area (SA) | \( D = \sqrt{\frac{SA}{6}} \cdot \sqrt{3} \) |
| Volume (V) | \( D = \sqrt[3]{V} \cdot \sqrt{3} \) |
| Face Diagonal (d) | \( D = \frac{d \cdot \sqrt{3}}{\sqrt{2}} \) |
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