Online Calculators > Math Calculators > Surface Area Calculator

Surface Area Calculator

Surface area calculator is to calculate different three dimensional shapes' surface area. Surface area formula is show below on how to find the surface area of a rectangular prism, surface area of a cube, surface area of a cylinder, surface area of a sphere and surface area of a square pyramid.

Surface Area of a Rectangular Prism Calculator

Unit of Length
Length(l)
Width(w)
Height(h)
Result
13 Inches³
0.00752 Feet³
213.03183 cm³
0.00028 Yards³

Surface Area of a Cube Calculator

Unit of Length
Length(l)
Result
13.5 Inches²
0.00781 Feet²
221.22536 cm²
0.00029 Yards²

Surface Area of a Cylinder Calculator

Unit of Length
Base Radius(r)
Height(h)
Result
32.98672 Inches²
0.01909 Feet²
540.55554 cm²
0.00071 Yards²

Surface Area of a Sphere Calculator

Unit of Length
Radius(r)
Result
28.27433 feet²
48,858.04895 Inches²
800,639.97526 cm²
1.0472 Yards²

Surface Area of a Square Pyramid Calculator

Unit of Length
Base Length(l)
Height(h)
Result
11.2111 Inches³
0.00649 Feet³
183.71706 cm³
0.00024 Yards³
rectangular prism

Surface area of a rectangular prism formula

The surface area of a rectangular prism formula is SA=2(lw+hw+lh). l=length, h=height, w=width. A rectangular prism is solid three dimensional object, it either has six flat surfaces are rectangles or four rectangles with two squares. A rectangular prism has total 12 lengths. There are three different lengths which are length, width and height that we can find to use for calculating its surface area. When there is two lengths are equal, it will make a square prism. To find surface area of rectangular prism, we calculate six area of different rectangle sides and add them together.

How to find the surface area of a rectangular prism

Following is how to calculate surface area of a rectangular prism with length 2, width 1 and height 1.5.
Surface Area = 2x(2x1+2x1.5+1x1.5) =13.

cube

Surface area of a cube formula

Surface area of a cube formula is SA=6L². L=length. A cube is three dimensional object similar to a rectangular prism but has all equal surfaces and length.To find the surface area of a cube, we need to calculate one of the square base first which is A=L². and then multiply by six times because a cube has 6 equal surfaces, then we get the surface area of a cube SA=6L².

How to find the surface area of a cube

Following is how to calculate surface area of a cube with length 1.5.
Surface Area=6x1.5x1.5=13.5.

cylinder

Surface area of cylinder formula

The surface area of cylinder formula is SA=2πrh+2πr². π≈3.14159. r=radius of circle. A cylinder is one of most common three dimensional shapes. It has 3 faces with two circles and one rectangle. To find the surface area of cylinder, we calculate two area of circle 2πr² and one area of rectangle 2πrh first, and the add them together 2πr²+2πrh.

How to find the surface area of a cylinder

Following is how to calculate surface area of a cylinder with radius 1.5 and height 2.
Surface Area = 2xπx1.5x2+2xπ1.5x1.5 ≈32.98672.

sphere

Surface area of a sphere formula

The surface area of a sphere formula is SA=4πr². π≈3.14159. r=radius of sphere. A sphere is a very common perfectly round three dimensional object. It has no edges and vertices. Ball is an example of sphere. To find a surface area of a sphere, we need to find out the radius of sphere first, and then calculate its surface area 4πr².

How to find the surface area of a sphere

Following is how to calculate surface area of a sphere with radius 1.5.
Surface Area = 4xπx1.5²≈28.27433.

square pyramid surface area

Surface area of a square pyramid formula

Surface area of a square pyramid formula is SA=L²+2L√(L²/4+H²). L=length, H= height is the height from apex to the end of pyramid. A square pyramid is solid three dimensional object, its a pyramid with square base. It has five sides, a square surface and four triangle surfaces which makes it a pentahedron. To find the surface area of a square pyramid, we calculate its base area of square L² and then add the area of four triangles 2L√(L²/4+H²).

How to find the surface area of a square pyramid

Following is how to calculate surface area of a square pyramid with base length 2 and height 1.5.
Surface Area = 2x2+2x2x√(2x2/4+1.5x1.5)≈11.21.


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