Surface Area Calculator - calculatorsee.com


Surface Area Calculator

Calculate the total outer surface area of 3D geometric shapes including spheres, cylinders, cubes, cones, and rectangular prisms.

Calculator Inputs

3D object type.
Radius (cylinder/sphere/cone) or side length (cube).
Height of shape.

Calculated Results

Total Surface Area
150.80 sq units (Cylinder)
Lateral Surface Area 94.25 sq units
Base Area (Both Ends) 56.55 sq units
Volume 141.37 cubic units
Values calculate live as you adjust inputs.

About Surface Area Calculator

Determines the total two-dimensional boundary surface area covering three-dimensional solid bodies.

What is Surface Area Calculator?

Determines the total two-dimensional boundary surface area covering three-dimensional solid bodies.

How to Use This Calculator

  1. Select solid shape.
  2. Enter radius and height.
  3. View total and lateral surface area.

The Mathematical Formula & Variables

Cylinder: 2*pi*r*(r + h); Sphere: 4*pi*r^2; Cube: 6*s^2

Step-by-Step Worked Example

Scenario: Cylinder with radius 3 and height 5.

  1. Base areas = 2 * pi * 3^2 = 18 * pi = 56.55.
  2. Lateral area = 2 * pi * 3 * 5 = 30 * pi = 94.25.
  3. Total = 56.55 + 94.25 = 150.80.

Result: 150.80 sq units

Frequently Asked Questions

What is lateral surface area?

Lateral surface area is the area of the sides excluding the top and bottom bases.