Superfícies 3D — Calculadora Online Grátis
Surface area of 6 3D shapes: cube, sphere, cylinder, cone, pyramid and rectangular prism
The Surface Area Calculator finds the total outer surface area of six common 3D shapes: cube, sphere, cylinder, cone, rectangular prism, and pyramid. It applies the precise formula for each shape and works with any measurement unit. This is directly useful for engineering students solving geometry problems, manufacturers calculating material needed to cover a shape, and anyone wrapping, coating, or painting a 3D object.
Frequently Asked Questions
Sobre Esta Calculadora
Surface area is the total area of all outer faces of a three-dimensional shape. Unlike volume (which measures interior space), surface area measures the exterior. For manufacturing and engineering, surface area determines how much material is needed to coat, paint, insulate, or wrap an object.
Each shape has its own formula. Cubes: SA = 6s². Rectangular prisms: SA = 2(lw + lh + wh). Spheres: SA = 4πr². Cylinders: SA = 2πr² + 2πrh. Cones: SA = πr² + πrl (where l is the slant height). Pyramids require the base area plus four triangular faces. This calculator applies the correct formula and shows the component areas separately.
Applications include calculating the paint needed to cover a water tank, determining the aluminum required to wrap a package, computing heat loss through building surfaces (insulation problems), and sizing labels or packaging for products.
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Exemplo Resolvido
Total surface area of a cylinder with radius 5 cm and height 12 cm
Entradas:
- Shape: Cylinder
- Radius: 5 cm
- Height: 12 cm
Passo a Passo:
- Surface area of cylinder = 2πr² + 2πrh
- Two circular ends: 2 × π × 5² = 2 × 3.14159 × 25 = 157.08 cm²
- Lateral (side) area: 2 × π × 5 × 12 = 2 × 3.14159 × 60 = 376.99 cm²
- Total surface area = 157.08 + 376.99 = 534.07 cm²