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Surface Area Calculator

Compute the surface area of various geometric shapes (Sphere, Cylinder, Cone, Cuboid, Rectangular Prism, Triangular Prism, Square Pyramid, Tetrahedron) and get detailed step-by-step solutions!

Surface Area Calculator
Compute the Surface Area of a Sphere:
Radius \( r \):
Compute the Surface Area of a Cylinder:
Radius \( r \):
Height \( h \):
Compute the Surface Area of a Cone:
Radius \( r \):
Height \( h \):
Compute the Surface Area of a Cuboid:
Length \( l \):
Width \( w \):
Height \( h \):
Compute the Surface Area of a Rectangular Prism:
Length \( l \):
Width \( w \):
Height \( h \):
Compute the Surface Area of a Triangular Prism:
Base \( b \):
Height of Triangle \( h \):
Length \( l \):
Compute the Surface Area of a Square Pyramid:
Base Side \( a \):
Height \( h \):
Compute the Surface Area of a Tetrahedron:
Edge Length \( a \):

Embed Surface Area Calculator Widget

About Surface Area Calculator

Welcome to our comprehensive Surface Area Calculator, designed to compute the surface area of various geometric shapes with detailed step-by-step solutions. Whether you're dealing with simple shapes like spheres and cylinders or more complex forms like cones, cuboids, rectangular prisms, triangular prisms, square pyramids, and tetrahedrons, our tools are equipped to assist students, educators, and professionals in performing accurate and efficient surface area calculations.

Types of Shapes Supported

Features of Our Surface Area Calculators

Understanding Surface Area and Its Computation Methods

1. Sphere

The surface area of a sphere measures the total area covered by the outer layer of the sphere. It is a fundamental concept in geometry with applications in various fields such as physics, engineering, and architecture.

Computation Method:

Example: Calculate the surface area of a sphere with radius \( r = 5 \).

2. Cylinder

The surface area of a cylinder is the sum of the areas of its two circular bases and the rectangular side that wraps around them.

Computation Method:

Example: Calculate the surface area of a cylinder with radius \( r = 3 \) and height \( h = 7 \).

3. Cone

The surface area of a cone includes the area of its circular base and the lateral (side) surface area.

Computation Method:

Example: Calculate the surface area of a cone with radius \( r = 4 \) and height \( h = 6 \).

4. Cuboid

The surface area of a cuboid is the sum of the areas of all its six rectangular faces.

Computation Method:

Example: Calculate the surface area of a cuboid with length \( l = 5 \), width \( w = 4 \), and height \( h = 3 \).

5. Rectangular Prism

The surface area of a rectangular prism is identical to that of a cuboid, representing the total area of all six rectangular faces.

Computation Method:

Example: Calculate the surface area of a rectangular prism with length \( l = 6 \), width \( w = 7 \), and height \( h = 2 \).

6. Triangular Prism

The surface area of a triangular prism is the sum of the areas of its two triangular bases and three rectangular sides.

Computation Method:

Example: Calculate the surface area of a triangular prism with base \( b = 4 \), triangular height \( h = 5 \), and length \( l = 6 \).

7. Square Pyramid

The surface area of a square pyramid includes the area of its square base and the areas of its four triangular faces.

Computation Method:

Example: Calculate the surface area of a square pyramid with base side \( a = 5 \) and height \( h = 7 \).

8. Tetrahedron

A tetrahedron is a regular polyhedron composed of four equilateral triangular faces.

Computation Method:

Example: Calculate the surface area of a regular tetrahedron with edge length \( a = 3 \).

How to Use Our Surface Area Calculators

Applications of Our Surface Area Calculators

Our suite of surface area calculators is versatile and serves a wide range of purposes, including:

Why Choose Our Surface Area Calculators?

Calculating surface areas manually can be time-consuming and error-prone. Our calculators offer:

Additional Resources

For further reading and learning, explore these valuable resources:

Reference this content, page, or tool as:

"Surface Area Calculator" at https://MiniWebtool.com/surface-area-calculator/ from MiniWebtool, https://MiniWebtool.com/

by miniwebtool team. Updated: Nov 24, 2024

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