Surface Area Calculator
Surface Area Calculator' is an online tool which calculates the surface area of a three-dimensional figure, like a cube, cuboid, hemisphere and many others.
What is a Surface Area Calculator?
In Cuemath's 'Surface Area Calculator', you just need to enter the dimensions needed to find the surface area of the specific three-dimensional figure.
Note: Enter numbers up to 2 digits.
How to Use the Surface Area Calculator?
Follow the given steps to use the calculator:
- Step 1: Select the name of the three-dimensional figure for which you wish to find the surface area.
- Step 2: Enter the dimensions of the figure in the respective input boxes.
- Step 3: Click on "Calculate" to find the surface area and click on 'Reset' to clear the fields and enter the new values.
How to Find the Surface Area of a Three-dimensional Figure?
Observe the following table to know the formulas used to find the surface area of different three-dimensional figures.
|Geometric Figure||Surface Area Formula||Dimensions|
|Cube||6a2||a = side of the cube|
|Cuboid||2(LW + WH + LH)||L = length
W = width
H = height
|Cylinder||2пrh + 2пr2||
r = radius
h = height
|Cone||пr( r + l)||
r = radius
l = slant height
|Sphere||4пr2||r = radius|
|Hemisphere||3пr2||r = radius|
Now, let us look at the following examples to learn how to find the surface area of three-dimensional figures.
Solved Example 1:
Find the surface area of a cuboid with length = 4 m, breadth (width) = 6 m, and height = 8 m.
The given dimensions of the cuboid are L = 4 m, W = 6 m, and H = 8 m.
The surface area of a cuboid = 2(LH + WH + LW)
= 2[(4 × 8) + (6 × 8) + (4 × 6)]
= 2(32 + 48 + 24)
= 208 square meters
Therefore, the surface area of the cuboid is 208 square metres.
Solved Example 2:
Find the surface area of a sphere having a radius of 14 inches.
The radius of the sphere is 14 inches.
The surface area of a sphere= 4пr2
= 4 × п × 142
= 4 × 22/7 × 14 × 14
= 4 × 22 × 2 × 14
= 2464 square inches
Therefore, the surface area of the sphere is 2464 square inches.
Now, try the calculator to find the area of the following figures.
- A cube with each side of 12 units.
- A hemisphere with a radius of 9 units.