Volume of a Cube Calculator

Published on: August 11, 2024

Final Answer: Free • Full Steps: Plus

This Volume of a Cube Calculator helps you find the space inside a cube when the side length is known. It uses the formula V = a³, where a is the side length and the answer is written in cubic units. Multiply the side length by itself three times to get the volume. It is a simple way to check answers, understand the cube volume formula, and practise basic geometry step by step.

In the diagram, each edge is labeled a.

Step-by-step method

Identify what is given.
Write the formula.
Substitute the value and calculate the volume.

Formula:

\(V = a^{3}\)

Example 1:

\(a = 5\)

Step 1 - Identify what is given.

In this problem: The given edge length is \(a = 5\).

\(a = 5\)

Step 2 - Write the formula.

In this problem: Use the cube volume formula: \(V = a^{3}\).

\(V = a^{3}\)

Step 3 - Substitute the value and calculate the volume.

In this problem: Substitute \(a = 5\): \(V = 5^{3} = 125\).

\(V = 5^{3} = 125\)

Final answer:

\(V = 125\)

Example 2:

\(a = 3.5\)

Step 1 - Identify what is given.

In this problem: The given edge length is \(a = 3.5\).

\(a = 3.5\)

Step 2 - Write the formula.

In this problem: Use the cube volume formula: \(V = a^{3}\).

\(V = a^{3}\)

Step 3 - Substitute the value and calculate the volume.

In this problem: Substitute \(a = 3.5\): \(V = 3.5^{3} \approx 42.88\).

\(V = 3.5^{3} \approx 42.88\)

Final answer:

\(V \approx 42.88\)