Surface area is the total area covering the exterior of a shape. Purpose: It aids in geometry education, engineering, and design by calculating surface areas for applications like material estimation, coating requirements, or structural analysis. 2. How Does the Calculator Work? The calculator uses the following formulas for each shape:
The formulas for surface area of a cone, cube, cylinder, rectangular prism and sphere are given. The calculator will do all the work for you rapidly with precise results. However, if you wish to calculate manually, the formulas will be handy. Also, an example of how to calculate the surface area of a cylinder is provided.
Our surface area calculator can find the surface area of seven different solids. The formula depends on the type of solid. Surface area of a sphere: A = 4πr², where r stands for the radius of the sphere. Surface area of a cube: A = 6a², where a is the side length. Surface area of a cylinder: A = 2πr² + 2πrh, where r is the radius and h is the height of the cylinder.
Among all of the shapes, the surface area of a cube is the easiest one to find. You won’t even need to use a surface area calculator for this. Since the formula for the surface area of a square is: A = 6 * (side area) The area of the square equals the product of the length of all of its sides. Therefore, the formula for the surface area of a ...
The calculator above can easily find the surface area for a shape, but you can also find it using a formula. Surface Area Formulas. There is a different surface area formula for each shape. The formula for each shape is below. Use the image as a guide for understanding the formula.
How to Calculate Surface Area. The method for calculating surface area depends on the shape of the object. Generally, it involves finding the area of each face or surface of the object and then adding these areas together. ... For curved surfaces, we often use integral calculus or specific formulas derived for those shapes. Formulas for ...
This surface area calculator lets you calculate the surface area for several different solid shapes. The shapes currently supported are cones, cubes, cuboids (rectangular prisms), cylinders, and spheres. ... Surface Area — Concept and Formulas. The surface area of any solid or three-dimensional object is a measure of how large or small its ...
If using this calculator to compute the surface area of a hollow sphere, subtract the surface area of the base. Given two values of height, cap radius, or base radius, the third value can be calculated using the equations provided on the Volume Calculator. The surface area equations are as follows: spherical cap SA = 2πRh base SA = πr 2
Cube Surface Area Formula. Cube is a three dimensional figure which is having 6 faces. Each face is a square having equal side length. The formula to calculate the surface area of a cube is mentioned here: Surface area of a Cube: A = 6a²; Volume of a Cube: V = a3; Where, a is the length of side of a cube. Sphere Surface Area Formula
Surface area of a sphere. The surface area formula for a sphere is 4 x π x (diameter / 2) 2, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4 x π x radius 2.Visual on the figure below: A sphere's surface area can be calculated just by knowing its diameter, or radius (diameter = 2 x radius). π is, of course, the well-known mathematical constant ...
Calculate Surface Area: Once the relevant parameters are entered, the calculator uses appropriate mathematical formulas to compute the surface area of the selected shape. The specific formula depends on the shape chosen. Display the Result: The calculated surface area is then displayed to the user. The result is often given in square units ...
In Mathematics, the surface area is the total area of the surface of a three-dimensional object. It is a measure of the extent of the surface and is typically expressed in square units. The surface area calculation helps in understanding how much area is covered by the surface of an object. Below are the formulas to calculate the surface area ...
Sphere surface; Triangle area; Do you want to see other calculation tools? The following online calculation application is a tool to calculate the area of a trapezoid, based on the lengths of its bases and its height.Calculate the extension of the trapezoid using the formula Trapezoid area = ((Smaller base + Larger base) × Height) / 2, it can be used for both small and large elements.
Surface Area of Pyramids . Surface Area = l × √(l² + 4 × h²) + l². Where: l = Length of one side of the base of the pyramid; l² = Area of the square base Ball Surface Area . A ball is a spherical object, so its surface area can be calculated using this formula. Surface Area = 4πr² Ellipsoid Surface Area
How to Use the Calculator. Using our surface area calculator is simple: First, select your 3D shape from the dropdown menu. Input the required dimensions (like radius or height) in the designated fields. The calculator automatically applies the correct mathematical formula to compute the surface area.
Surface area calculator is used to calculate the area, perimeter, side, and diagonal of two-dimensional shapes. The surface area calculator gives step-by-step solutions with its formulas in a few seconds. The surface area of two-dimensional shapes. The surface area of 2D is defined as “The measurement of the total area that is enclosed in a ...
The Surface Area Calculator is a tool that helps you determine the surface area of various 3D geometric shapes. Whether you are a student, engineer, architect, or simply someone working with measurements, this calculator makes it easy to compute surface area accurately. ... Surface Area Formulas. Each shape has its own formula for calculating ...
