# Python | Percentage increase in the total surface area of the cuboid

• Difficulty Level : Hard
• Last Updated : 18 Mar, 2022

Given a cuboid of length L, breadth B and Height H, the task is to find percentage increase in the total surface area of the cuboid if length, breadth and height are increased by fixed percentages.
Examples:

```Input :
L = 20, B = 30, H = 50, l = 10 %, b = 12 %, h = 15 %
Output :
26.97 %

Input :
L = 40, B = 60, H = 15, l = 5 %, b = 7 %, h = 12 %
Output :
14.88 %```

Code : Python code to find the increase in the total surface area of the cuboid.

## Python3

 `# Function to return the percentage increase``# in the total surface area of the cuboid``# Total surface area of a cuboid = 2(L * B) + (L * H) + (B * H)``def` `increaseIntsa(L, B, H, l, b, h):``    ``oldsurfacearea ``=` `2``*``((L ``*` `B) ``+` `(L ``*` `H) ``+` `(B ``*` `H))``    ``newsurfacearea ``=` `2``*``((L ``+` `(L ``*` `l ``*` `0.01``))``*``(B ``+` `(B ``*` `b``*``0.01``)) ``+``                        ``(L ``+` `(L ``*` `l ``*` `0.01``))``*``(H ``+` `(H ``*` `h``*``0.01``)) ``+``                        ``(B ``+` `(B ``*` `b ``*` `0.01``))``*``(H ``+` `(H ``*` `h``*``0.01``)))``    ``increase ``=` `(newsurfacearea ``-` `oldsurfacearea)``    ``increasepercent ``=` `(increase ``/` `oldsurfacearea) ``*` `100``    ``return``(increasepercent)` `# Cuboid dimensions``L ``=` `20``B ``=` `30``H ``=` `50` `# percentage increase``l ``=` `10``b ``=` `12``h ``=` `15``print``(increaseIntsa(L, B, H, l, b, h), ``"%"``)`

Output :

`26.974193548387092 %`

Time Complexity: O(1)

Auxiliary Space: O(1)

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