In this article we will show you, How to write Python Program to find Volume and Surface Area of Cuboid with example. Before we step into the program, Let see the definitions and formulas behind Surface area of a Cuboid, Area of Top & Bottom Surfaces, Lateral Surface Area and Volume of a Cuboid

## Cuboid

Cuboid is a 3D object made up of 6 Rectangles. All the opposite faces (i.e Top and Bottom) are equal.

### Surface Area of a Cuboid

The Total Surface Area of a Cuboid is the sum of all the 6 rectangles areas present in the Cuboid. If we know the length, width and height of the Cuboid then we can calculate the Total Surface Area using the formula:

Area of Top & Bottom Surfaces = lw + lw = 2lw

Area of Front & Back Surfaces = lh + lh = 2lh

Area of both sides = wh + wh = 2wh

The Total Surface Area of a Cuboid is the sum of all the 6 faces. So, we have to add all these area to calculate the final Surface Area

Total Surface Area of a Cuboid = 2lw + 2lh + 2wh

It is equal: Total Surface Area = 2 (lw + lh +wh)

### Volume of a Cuboid

The amount of space inside the Cuboid is called as Volume. If we know the length, width and height of the Cuboid then we can calculate the Volume using the formula:

Volume of a Cuboid = Length * Breadth * Height

Volume of a Cuboid = lbh

The Lateral Surface Area of a Cuboid = 2h (l + w)

## Python Program to find Volume and Surface Area of Cuboid

This Python program allows user to enter the length, width and height of a Cuboid. Using these values, compiler will calculate the Surface Area of a Cuboid, Volume of a Cuboid and Lateral Surface Area of a Cuboid as per the formulas.

**PYTHON CODE**

# Python Program to find Volume and Surface Area of Cuboid length = float(input('Please Enter the Length of a Cuboid: ')) width = float(input('Please Enter the Width of a Cuboid: ')) height = float(input('Please Enter the Height of a Cuboid: ')) # Calculate the Surface Area SA = 2 * (length * width + length * height + width * height) # Calculate the Volume Volume = length * width * height # Calculate the Lateral Surface Area LSA = 2 * height * (length + width) print("\n The Surface Area of a Cuboid = %.2f " %SA) print(" The Volume of a Cuboid = %.2f" %Volume); print(" The Lateral Surface Area of a Cuboid = %.2f " %LSA)

**ANALYSIS**

Below statements will ask the user to enter length, width and height values and it will assign the user input values to respected variables. Such as first value will be assigned to length, second value to width and third value will be assigned to height

length = float(input('Please Enter the Length of a Cuboid: ')) width = float(input('Please Enter the Width of a Cuboid: ')) height = float(input('Please Enter the Height of a Cuboid: '))

Next, We are calculating Volume, Surface Area and Lateral Surface Area of a Cuboid using their respective Formulas:

# Calculate the Surface Area SA = 2 * (length * width + length * height + width * height) # Calculate the Volume Volume = length * width * height # Calculate the Lateral Surface Area LSA = 2 * height * (length + width)

Following print statements will help us to print the Volume and Surface area of a Cuboid

print("\n The Surface Area of a Cuboid = %.2f " %SA) print(" The Volume of a Cuboid = %.2f" %Volume); print(" The Lateral Surface Area of a Cuboid = %.2f " %LSA)

**OUTPUT**

**ANALYSIS**

In the above Example, We inserted Values Length = 8, Width = 5 and Height = 6

The **Volume of a Cuboid** for the Given Measures are:

Volume of a Cuboid = lbh = l * w * h

Volume of a Cuboid = length * width * height

Volume of a Cuboid = 8 * 5 * 6

Volume of a Cuboid = 240

The Volume of a Cuboid is 240

The **Total Surface Area of a Cuboid** for the Given Measures are:

Total Surface Area of a Cuboid = 2lw + 2lh + 2wh

Total Surface Area of a Cuboid = 2 (lw + lh +wh)

Total Surface Area of a Cuboid = 2*(length * width + length * height + width * height)

Total Surface Area of a Cuboid = 2 * ( (8 * 5) + (8 * 6) + (5 * 6) )

Total Surface Area of a Cuboid = 2 * (40 + 48 + 30)

Total Surface Area of a Cuboid = 2 * 118

Total Surface Area of a Cuboid = 236

The Total Surface Area of a Cuboid is 236

The **Lateral Surface Area of a Cuboid** for the Given Measures are:

Lateral Surface Area of a Cuboid = 2lh + 2wh

Lateral Surface Area of a Cuboid = 2h (l + w)

Lateral Surface Area of a Cuboid = 2 * height * (length + width)

Lateral Surface Area of a Cuboid = 2 * 6 * (8 + 5)

Lateral Surface Area of a Cuboid = 2 * 6 * (13 )

Lateral Surface Area of a Cuboid = 156

The Lateral Surface Area of a Cuboid is 156

## Python Program to find Volume and Surface Area of Cuboid using functions

This program allows user to enter the length, width and height values. We will pass those values to the function argument and then it will calculate the Surface Area and Volume of a Cuboid as per the formula.

**PYTHON CODE**

# Python Program to find Volume and Surface Area of a Cuboid using Functions def Vo_Sa_Cuboid(length, width, height): # Calculate the Surface Area SA = 2 * (length * width + length * height + width * height) # Calculate the Volume Volume = length * width * height # Calculate the Lateral Surface Area LSA = 2 * height * (length + width) print("\n The Surface Area of a Cuboid = %.2f " %SA) print(" The Volume of a Cuboid = %.2f" %Volume) print(" The Lateral Surface Area of a Cuboid = %.2f " %LSA) Vo_Sa_Cuboid(9, 4, 6)

**ANALYSIS: **First, We defined the function with three arguments using def keyword. It means, User will enter the length, width and height values of a Cuboid. This program will calculate the Surface Area and Volume of Cuboid as we explained in first example

**OUTPUT**

**NOTE:** We can call the function with arguments in .py file directly or else we can call it from the python shell. Please don’t forget the function arguments

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