Surface area formula
Here, we provide you with a comprehensive list of surface area formula for some common three-dimensional figures such as the cube, the cylinder, the rectangular prism, the sphere, the right circular cone, and the right square pyramid.
Surface area = 6 × a2
Surface area = 2 × pi × r2 + 2 × pi × r × h
pi = 3.14
h is the height
r is the radius
Surface area = 2 × l × w + 2 × l × h + 2 × w × h
l is the length
w is the width
h is the height
Surface area = 4 × pi × r2
pi = 3.14
r is the radius
Surface area = pi × r2 + pi × r ×( √(h2 + r2))
pi = 3.14
r is the radius
h is the height
l is the slant height
Surface area = s2 + 2 × s × l
s is the length of the base
h is the height
l is the slant height
A couple of examples showing how to use the surface area formula to solve some problems.
Example #1.
Find the surface area of a cube if the length of one side is equal to 5 cm.
The formula to use to find the surface area of cube is 6a2
6a2 = 6 × a2 = 6 × 52 = 6 × 25 = 150
The surface area of the cube is 150 cm2
Example #2.
The dimensions of a rectangular prism are shown below
Length is equal 5 cm
Width is equal to 6 cm
Height is equal 3 cm
Find the surface area of the rectangular prism.
The formula to use to find the surface area of a rectangular prism as already shown above is 2 × l × w + 2 × l × h + 2 × w × h
2 × 5 × 6 + 2 × 5 × 3 + 2 × 6 × 3
2 × 30 + 2 × 15 + 2 × 18
60 + 30 + 36
90 + 36
126
The surface area of the rectangular prism is 126 cm2
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