Volume of a Cuboid Calculator

Published on: August 18, 2024
Final Answer: Free Full Steps: Plus

This Volume of a Cuboid Calculator helps you find the space inside a cuboid when the length, width, and height are known. It uses the formula V = l × w × h, where l is the length, w is the width, h is the height, and the answer is written in cubic units. Multiply the length, width, and height together to get the volume. It is a simple way to check answers, understand the cuboid volume formula, and practise basic geometry step by step.

Cuboid labeled l, w, h

In the diagram, the dimensions are labeled l, w, and h.

Step-by-step method

  1. Identify what is given.
  2. Write the formula.
  3. Substitute the values and calculate the volume.

Formula:

\(V = l \times w \times h\)

Example 1:

\(l = 4, w = 3, h = 2\)

Step 1 - Identify what is given.

In this problem: The given dimensions are \(l = 4\), \(w = 3\), and \(h = 2\).

\(l = 4,\; w = 3,\; h = 2\)

Step 2 - Write the formula.

In this problem: Use the cuboid volume formula: \(V = l \times w \times h\).

\(V = l \times w \times h\)

Step 3 - Substitute the values and calculate the volume.

In this problem: Substitute the values: \(V = 4 \times 3 \times 2 = 24\).

\(V = 4 \times 3 \times 2 = 24\)

Final answer:

\(V = 24\)

Example 2:

\(l = 5.5, w = 2, h = 1.2\)

Step 1 - Identify what is given.

In this problem: The given dimensions are \(l = 5.5\), \(w = 2\), and \(h = 1.2\).

\(l = 5.5,\; w = 2,\; h = 1.2\)

Step 2 - Write the formula.

In this problem: Use the cuboid volume formula: \(V = l \times w \times h\).

\(V = l \times w \times h\)

Step 3 - Substitute the values and calculate the volume.

In this problem: Substitute the values: \(V = 5.5 \times 2 \times 1.2 = 13.2\).

\(V = 5.5 \times 2 \times 1.2 = 13.2\)

Final answer:

\(V = 13.2\)