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Volume Calculator

Math

Calculate the volume and surface area of cubes, spheres, cylinders, cones, and rectangular prisms. Enter dimensions and get precise 3D shape measurements.

Reviewed by the thecalcu.com team · Last updated July 6, 2026

Volume

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Surface Area
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What is a Volume?

A Volume Calculator works out the total space enclosed inside a 3D shape, cube, sphere, cylinder, cone, or rectangular prism, based on its dimensions, along with the shape's total outer surface area. Volume problems show up constantly in everyday and academic contexts: how much water a tank holds, how much concrete fills a cylindrical post, or how much a storage box can contain.

This calculator handles five of the most commonly needed 3D shapes in one tool, so you don't need to remember five separate formulas. It complements the Surface Area Calculator and the 2D-focused Area Calculator for a complete set of geometry tools.

Why Use a Volume Calculator?

Volume formulas vary significantly between shapes, a sphere, a cone, and a rectangular box all use entirely different equations, and mixing them up is an easy mistake when working by hand. Getting the formula wrong, or making an arithmetic error when cubing or applying π, leads to volume estimates that can be significantly off, which matters when the result informs a real purchase or construction decision.

This calculator removes that risk by applying the correct formula automatically based on the shape you select. Someone planning how much water a cylindrical tank holds, or a student checking a geometry homework answer, gets an instant, accurate result without needing to derive or remember the formula themselves, the same convenience the Circle Calculator provides for 2D circle properties.

Who Should Use This Calculator?

  • Students and teachers working through 3D geometry problems involving cubes, spheres, cylinders, or cones.
  • DIY and construction planners estimating how much material (concrete, water, soil) a container or structure can hold.
  • Packaging and logistics professionals calculating the volume of boxes or cylindrical containers for shipping and storage planning.
  • Engineering and science students needing quick volume and surface area checks alongside other geometry tools.
  • Anyone estimating material needs for a tank, planter, or storage container based on its shape and dimensions.

What Insights Does the Volume Calculator Give You?

The calculator returns both core measurements for whichever shape you select:

  • Volume, the total three-dimensional space enclosed by the shape, in cubic units matching whatever unit you entered dimensions in.
  • Surface Area, the total area of the shape's outer surface, in square units, useful for covering, painting, or wrapping calculations.

Because both values are calculated together from the same inputs, you get a complete picture of the shape without needing to run a separate calculation for surface area.

How to use this Volume calculator

  1. Select the Shape you want to calculate, Cube, Sphere, Cylinder, Cone, or Rectangular Prism.
  2. Enter Dimension 1, the side length for a cube, or the radius for a sphere, cylinder, or cone.
  3. For cylinders and cones, enter Dimension 2 as the height.
  4. For a rectangular prism, enter all three dimensions, length, width, and depth.
  5. Read the Volume result, the primary figure for most use cases.
  6. Check the Surface Area result if you also need to know the shape's outer covering area.
Show formula & methodology ↓Show less ↑

Formula & Methodology

Each shape uses its own standard geometry formula:

- Cube: V = s³, Surface Area = 6s²
- Sphere: V = (4/3)πr³, Surface Area = 4πr²
- Cylinder: V = πr²h, Surface Area = 2πr² + 2πrh
- Cone: V = (1/3)πr²h, Surface Area = πr² + πr × slant height (where slant height = √(r² + h²))
- Rectangular Prism: V = l × w × h, Surface Area = 2(lw + lh + wh)

Worked example: for a cylinder with radius 5 and height 10:
- Volume = π × 5² × 10 = π × 250 ≈ 785.4 cubic units
- Surface Area = 2π × 5² + 2π × 5 × 10 = 157.1 + 314.2 ≈ 471.2 square units

Frequently Asked Questions

What is the formula for the volume of a cube?
The volume of a cube is calculated as V = s³, where s is the length of one side. For example, a cube with a 4 cm side has a volume of 4³ = 64 cubic centimetres.
What is the formula for the volume of a sphere?
The volume of a sphere is calculated as V = (4/3)πr³, where r is the radius. This formula gives the total space enclosed by a perfectly round 3D shape, such as a ball.
How is the volume of a cylinder calculated?
A cylinder's volume is calculated as V = πr²h, where r is the radius of the circular base and h is the height. This is the same as finding the circular base's area and multiplying it by the height.
What is the formula for the volume of a cone?
A cone's volume is exactly one-third of a cylinder with the same base radius and height: V = (1/3)πr²h. This is why a cone-shaped container holds noticeably less than a cylinder of the same width and height.
What is the difference between volume and surface area?
Volume measures the total space enclosed inside a 3D shape (in cubic units), while surface area measures the total area covering the outside of that shape (in square units). This calculator shows both together, since many real-world tasks need one or the other depending on whether you're filling a space or covering it.
How do I calculate the volume of a rectangular box?
A rectangular prism's (box's) volume is simply length × width × height. Select 'Rectangular Prism' and enter the three dimensions to get the volume and total surface area instantly.
Why does the cone calculation also need a height value?
Unlike a sphere, which is fully defined by its radius alone, a cone's size also depends on how tall it is, the same base radius can belong to a short, squat cone or a tall, narrow one, with very different volumes. That's why both Dimension 1 (radius) and Dimension 2 (height) are needed.
What is the difference between this and the Area Calculator?
The [Area Calculator](/area-calculator/) handles flat, two-dimensional shapes like circles, rectangles, and triangles, measuring area and perimeter. This Volume Calculator handles three-dimensional solid shapes, measuring the space they enclose and the area of their outer surface.
Can I use this for real-world measurements like litres?
Yes, if you enter dimensions in centimetres, the volume result is in cubic centimetres, which equals millilitres (1 cm³ = 1 mL), so dividing by 1,000 gives you litres. Make sure all three dimensions use the same unit before calculating.
What's a practical use for calculating surface area alongside volume?
Surface area matters whenever you're covering, painting, or wrapping a 3D object, while volume matters when you're filling it or working out how much material it's made from. Knowing both together is useful for tasks like estimating paint needed for a cylindrical tank or material needed to wrap a box.
Also known as
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