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Калькулятор площади поверхности
Instant formulas, live results, and step-by-step breakdowns for every 3D shape.
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Each calculator shows the formula, intermediate values, units, and references so results are easy to check.
Калькулятор площади сферы
SA = 4πr²Калькулятор площади куба
SA = 6a²Калькулятор площади цилиндра
SA = 2πr(r + h)Калькулятор площади конуса
SA = πr(r + √(r² + h²))Калькулятор прямоугольной призмы
SA = 2lw + 2lh + 2whКалькулятор треугольной призмы
SA = PL + 2BКалькулятор площади пирамиды
SA = base + lateral facesКалькулятор эллипсоида
SA ≈ 4π[((a^1.6b^1.6 + a^1.6c^1.6 + b^1.6c^1.6) / 3)]^(1/1.6)Калькулятор капсулы
SA = 4πr² + 2πrhКалькулятор тора
SA = 4π²RrКалькулятор усеченного конуса
SA = π(R² + r²) + π(R + r)√((R - r)² + h²)Калькулятор сферического сегмента
SA = 2πRh + πr²Formula-first calculators
Every result includes the exact formula, substituted values, and a readable step-by-step calculation.
Unit-aware results
Switch between metric and imperial units without leaving the page, including square-unit conversion guidance.
Built for learning
Labelled diagrams, examples, references, and related calculators help users understand the geometry.
Surface area basics
Calculate surface area with confidence
Surface area measures the total exposed area on the outside of a three-dimensional shape. Students use it to check geometry homework, teachers use it to explain nets and formulas, and builders use it to estimate paint, wrapping, insulation, coating, or material coverage. A sphere uses a radius-only formula, a cylinder combines two circular bases with one curved side, and prisms add the areas of matching faces. More specialized shapes, such as ellipsoids, torus forms, capsules, and conical frustums, need formulas that are easy to misread when copied from a textbook. This site keeps the calculator, diagram, formula, and worked steps together so the result is fast but still auditable.
Choose a calculator above, enter positive dimensions, and compare the result with the formula breakdown. For adjacent topics, use the related-shape links on each calculator page or read the articles on derivations, paint coverage, and unit conversion.
FAQ
Surface area questions
What is surface area?
Surface area is the total outside area of a three-dimensional object. It is measured in square units such as m², cm², ft², or in².
How do these calculators work?
Each calculator applies a published geometry formula, substitutes your dimensions, and shows the intermediate steps so the result can be checked by hand.
Can I use different units?
Yes. Choose meters, centimeters, millimeters, feet, inches, or kilometers. Results are shown in the matching square unit.
Are calculations stored?
No. Calculations run in your browser and are not saved as personal history.
Which calculator should I choose?
Choose the page that matches the shape. If the object is a combination of shapes, calculate each part and add the areas that are exposed.
Learn more
Статьи
Почему площадь сферы равна 4πr²
Calculate and visualize surface area for common 3-D shapes with clear formulas, examples, and citations.
Площадь конуса и усеченного конуса через развертки
Calculate and visualize surface area for common 3-D shapes with clear formulas, examples, and citations.
Оценка краски по площади поверхности
Calculate and visualize surface area for common 3-D shapes with clear formulas, examples, and citations.