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Volume Of Cube – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Volume of CubeVolume Of Cube – Definition, ExamplesTable of ContentsVolume of a Cube Definition of Volume of a Cube

A cube is a three-dimensional solid with six square faces of equal length. The volume of a cube represents the total space occupied by it. If we were to fill a cube with water, the amount of water that fits inside would be its volume. Just like area measures the space of a two-dimensional object, volume measures the space taken up by a three-dimensional object.

The volume of a cube can be found by multiplying the length of one edge three times (or cubing it). If we consider a cube with side length s, its volume equals s³. We can also think of it as the base area (s²) multiplied by the height (s). The volume is always measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³). A unit cube with sides of 1 unit has a volume of 1 cubic unit.

Examples of Volume of a Cube Example 1: Finding the Volume of a Small Cube Problem:

What is the volume of a cube if its edge is 222 cm?

Finding the Volume of a Small Cube

Step-by-step solution:

Step 1, Identify what we know. The edge length (s) of the cube is 222 cm.

Step 2, Recall the formula for the volume of a cube. Volume = s × s × s or s³.

Step 3, Plug the edge length into the formula. Volume = 2×2×2=82 × 2 × 2 = 82×2×2=8 cm³.

Step 4, Write the final answer with the correct units. The volume of the cube is 888 cubic centimeters (cm³).

Example 2: Finding the Side Length from Volume Problem:

The volume of a cubical container is 343343343 m³. Find the length of side of container.

Finding the Side Length from Volume

Step-by-step solution:

Step 1, Identify what we know. The volume of the cube is 343343343 m³.

Step 2, Recall the formula for the volume of a cube. Volume = s × s × s or s³.

Step 3, Set up an equation using the known volume. 343343343 = s³.

Step 4, To find the side length, take the cube root of the volume. s = 3433\sqrt[3]{343}3343​.

Step 5, Recognize that 343=7×7×7343 = 7 × 7 × 7343=7×7×7, so s = 7×7×73\sqrt[3]{7 × 7 × 7}37×7×7​ = 777.

Step 6, Write the final answer with the correct units. The length of the side of the container is 777 meters (m).

Example 3: Finding the Volume of a Sugar Cube Problem:

Find the volume of a sugar cube with a 555 cm edge.

Finding the Volume of a Sugar Cube

Step-by-step solution:

Step 1, Identify what we know. The edge length (s) of the sugar cube is 555 cm.

Step 2, Recall the formula for the volume of a cube. Volume = s × s × s or s³.

Step 3, Plug the edge length into the formula. Volume = 5×5×55 × 5 × 55×5×5 = 125125125 cm³.

Step 4, Write the final answer with the correct units. The volume of the sugar cube is 125125125 cubic centimeters (cm³).

Comments(4)NNatureLover25September 17, 2025I used the 'Volume of Cube' definition and examples to help my kids with their homework—it’s so clear and easy to follow! The step-by-step examples made a big difference. Thanks for this resource!

MCMs. CarterSeptember 10, 2025I’ve used this page to help my kids grasp the concept of cube volume—it’s so clear and easy to follow! The examples really made it click for them. Great resource for teaching!

MMomOfThreeAugust 27, 2025This page was super helpful for my 5th grader’s homework! The step-by-step examples made it so easy for her to understand how to calculate the volume of a cube. Thanks!

MCMs. CarterAugust 6, 2025This page made it so easy to explain the volume of a cube to my kids! The examples were super clear, and we even practiced finding side lengths together. Great resource!

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