Volume Calculator
Calculate volume for cubes, rectangular prisms, cylinders, spheres, cones and pyramids. Get formulas and step-by-step results.
Cube volume
125 cubic units
V = s³
Last updated: January 2026
How this calculator is verified
Checked by True Calculator automated test suite on
- Formula verified against a published worked example in the automated test suite
- Edge cases (zero, negative, boundary and unit-mismatch inputs) covered by unit tests
The full verification method is on our how we verify page. Found an error? Tell us and we will re-check it.
When to Use This Calculator
Volume calculations are everyday work for builders, caterers, farmers and students. This calculator returns the volume of common shapes — cube, cuboid, cylinder, sphere, cone — from their dimensions. A contractor orders concrete by cubic metres and enters the slab length, width and depth; a caterer in India estimating water tank capacity converts dimensions to litres; a Class 9 student checks mensuration homework answers for each solid. The tool returns the volume in the unit you choose and shows the formula used, so a water tank 1 m × 1 m × 1 m clearly comes out as 1,000 litres. Concrete suppliers ask for volume in cubic metres and many sites quote in bags, so the same number works for both the order and the site supervisor.
How to Use This Calculator
- Step 1: Choose the shape: cube, rectangular prism, cylinder, sphere, cone or pyramid.
- Step 2: Enter the dimensions required for that shape, such as radius and height for a cylinder.
- Step 3: Pick the unit of measurement, such as centimetres or metres, so the result matches.
- Step 4: Read the volume and the formula used, and convert to litres if you need a capacity.
Worked Example
A plumber in Amritsar checks a cylindrical water tank with a radius of 0.7 metres and a height of 1.5 metres. Entering these values with the cylinder option, the calculator applies pi times radius squared times height, which is pi times 0.49 times 1.5, about 2.309 cubic metres. Since one cubic metre holds 1000 litres, the tank holds about 2309 litres. A cube of side 5 centimetres gives a simpler check case: 125 cubic centimetres, which is 0.125 litres.
Tips and Common Mistakes
- •Tip 1: Volume answers come in cubic units; convert to litres by dividing cubic centimetres by 1000.
- •Tip 2: Use the same unit for every dimension, because mixing metres with centimetres changes the result by a factor of one million.
- •Tip 3: For cones and pyramids, the volume is one third of the base area times the height.
- ✗Mistake 1: Confusing radius with diameter; a cylinder with diameter 7 has radius 3.5, and entering 7 as the radius quadruples the volume.
- ✗Mistake 2: Using a surface-area formula for volume; the volume of a sphere is four thirds pi r cubed, not 4 pi r squared.
Frequently Asked Questions
How do I convert volume to litres?
One cubic metre holds 1,000 litres and 1,000 cubic centimetres make 1 litre. A cylindrical tank with radius 0.7 m and height 1.5 m has a volume of about 2.31 m³, which is roughly 2,310 litres of water.
Which unit should I enter?
Use the same unit for every dimension. Mixing metres with centimetres changes the result by a factor of one million, so a 1.5 m tall tank must not be entered as 150 cm alongside metre-based measurements.
How much water does my family need?
A typical Indian household of four uses roughly 1,000–1,500 litres in two days, so a 2,000 litre overhead tank is a common choice. Convert the tank's volume to litres with this tool and match it to your daily usage and supply schedule.
Why is a cone one third of the cylinder with the same base?
A cone or pyramid fits exactly three times inside the prism or cylinder that has the same base and height, which is why volume is ⅓ × base area × height. For a cone with radius 0.5 m and height 1.2 m, that is about 0.31 m³, or 314 litres.
What is the volume of a sphere?
The volume is (4/3)πr³. A sphere of radius 0.5 m holds about 0.52 m³, which is roughly 524 litres — useful when checking spherical tanks or ball-shaped containers.
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