Area, Volume & Surface Area Calculator

Area and perimeter of 2D shapes, and volume and surface area of 3D solids — 18 shapes with formulas, in any unit.

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Volume—

Area and volume calculator

Mensuration — areas, volumes and surface areas — is a big part of Class 8 to 10 maths, and just as useful at home: how much paint for a wall, how many litres a water tank holds, how much soil fills a planter. This area and volume calculator covers 9 flat shapes and 9 solids, from squares and circles to cones, spheres and frustums. It shows the formula used, every related measurement (perimeter, diagonal, slant height, curved and total surface area) and the volume in litres.

How to use it

  1. Choose the shape and the unit you measured in.
  2. Enter the dimensions.
  3. Read the area or volume and the other measurements.

Example

A cylindrical water tank with radius 50 cm and height 120 cm holds π × 50² × 120 ≈9,42,478 cm³, which is about 942 litres. A room floor 4 m × 3.5 m has an area of 14 m² — convert it to square feet with the unit converter or to local land units with the land area converter.

Frequently asked questions

What is the difference between area and volume?
Area measures a flat surface in square units (cm², m²). Volume measures the space inside a solid in cubic units (cm³, m³). Surface area is the total area of all the faces of a solid.
What is the difference between curved and total surface area?
Curved (or lateral) surface area covers only the curved side — the label on a can. Total surface area adds the flat ends too — the label plus the lid and base.
How do I convert volume to litres?
1 litre = 1,000 cm³, and 1 m³ = 1,000 litres. The calculator shows litres automatically when you measure in cm or m.
What value of π is used?
The full precision value (3.14159…). Textbooks often use 22/7 ≈ 3.142857, so answers may differ slightly in the last decimal place.