Volume of 3D Shapes Calculator – Cube, Prism, Cylinder

Volume of 3D Shapes Calculator – Math Tool

Volume of 3D Shapes Calculator

Select a shape, enter dimensions, and fill it up!

Shape Visualizer

Select a shape to begin
Wireframe
Volume Fill

Understanding Volume

We live in a three-dimensional world, which means everything takes up space. Volume is the measure of exactly how much space a 3D object occupies. Whether you are filling a swimming pool with water or packing a lunch box, you are dealing with volume. Our Volume of 3D Shapes Calculator helps you quantify this space using simple measurements.

The Big Three Shapes

  • Cube: A perfect box where every side (length, width, height) is the same. Think of a dice or a sugar cube.
  • Rectangular Prism: A box where the sides can be different lengths. Examples include cereal boxes, bricks, and books.
  • Cylinder: A shape with circular ends and straight sides. Common examples are soda cans, batteries, and pipes.

How do we calculate it? The general rule for most simple 3D shapes is Area of Base × Height.
For a Prism, you multiply Length × Width (base area) × Height.
For a Cylinder, you multiply $\pi \times r^2$ (circle area) × Height.
Using this Volume of 3D Shapes Calculator saves you from doing the messy multiplication, especially when Pi ($\pi$) is involved!

Why is this useful? Understanding volume is critical for many jobs. Engineers need it to design tanks and engines. Architects use it to calculate heating and cooling needs for buildings. Even chefs use it when measuring ingredients! This Volume of 3D Shapes Calculator is a great way to check your homework or estimate real-world capacities.

Did you know?

Volume is measured in “cubic units” (like cubic inches, cubic meters, etc.). This is because volume essentially counts how many little 1x1x1 cubes can fit inside the shape. Our Volume of 3D Shapes Calculator visualizes this by “filling up” the shape to represent the total capacity.


Frequently Asked Questions (FAQ)

What is the difference between Area and Volume?

Area is 2D (flat) and measures the surface coverage (like a rug). Volume is 3D and measures space inside (like water in a bottle).

What if I only have the Diameter?

For cylinders, the formula needs the Radius. Just divide your Diameter by 2 to get the Radius before calculating!

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