{"id":23683,"date":"2021-10-03T20:26:56","date_gmt":"2021-10-03T14:56:56","guid":{"rendered":"https:\/\/python-programs.com\/?p=23683"},"modified":"2021-11-22T18:33:26","modified_gmt":"2021-11-22T13:03:26","slug":"python-program-for-maximize-volume-of-cuboid-with-given-sum-of-sides","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-maximize-volume-of-cuboid-with-given-sum-of-sides\/","title":{"rendered":"Python Program for Maximize Volume of Cuboid with Given Sum of Sides"},"content":{"rendered":"<p>Given the sum of length, breadth, and height of a cuboid say <strong>S<\/strong> and the task is to get the maximum volume of a cuboid such that the sum of the side is <strong>S<\/strong>.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given sum = 5<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The maximum volume of a cuboid such that the sum of the side { 5 } =  4<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given sum = 11<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The maximum volume of a cuboid such that the sum of the side { 11 } = 48<\/pre>\n<h2>Program for Maximize Volume of Cuboid with Given Sum of Sides\u00a0in Python<\/h2>\n<p>Below are the ways to get the maximum volume of a cuboid such that the sum of the side is <strong>S <\/strong>in python:<\/p>\n<ul>\n<li><a href=\"#Using_For_Loop_(Static_Input)\">Using For Loop (Static Input)<\/a><\/li>\n<li><a href=\"#Using_For_loop_(User_Input)\">Using For loop (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Mathematical_Formula_(Static_Input)\">Method #1: Using For loop (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number (sum) as static input and store it in a variable.<\/li>\n<li>Create a function to say <strong>Maximum_volume()<\/strong> which takes the given number as an argument and returns the maximum volume of a cuboid such that the sum of the side is the given sum.<\/li>\n<li>Inside the function, take a variable to say <strong>maxim_vol<\/strong> and initialize its value to 0.<\/li>\n<li>Take another variable (for length)\u00a0 say <strong>a<\/strong> and initialize its value to 1.<\/li>\n<li>Loop till the given sum -1 using the for loop.<\/li>\n<li>Take another variable (for breadth) say <strong>b<\/strong> and initialize its value to 1.<\/li>\n<li>Loop till the given sum using another nested for loop.<\/li>\n<li>Subtract the above variables a, b values from the given sum and store it in a variable say <strong>c <\/strong>(for height).<\/li>\n<li>Multiply the above a, b, c values and store them in another variable.<\/li>\n<li>Get the maximum value from the above-initialized <strong>maxim_vol <\/strong>and above multiplication result using the max() function and store it in another variable.<\/li>\n<li>Return the above result which is the maximum volume of a cuboid.<\/li>\n<li>Pass the given number as an argument to the <strong>Maximum_volume<\/strong><strong>() <\/strong>function and print it.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Create a function to say Maximum_volume() which takes the given number as an\r\n# argument and returns the maximum volume of a cuboid such that the sum of the side\r\n# is the given sum.\r\n\r\n\r\n\r\ndef Maximum_volume(gvn_sum):\r\n  # Inside the function, take a variable and initialize its value to 0.\r\n    maxim_vol = 0\r\n\r\n    # Take another variable (for length) say a and initialize its value to 1.\r\n    a = 1\r\n    # Loop till the given sum -1 using the for loop.\r\n    for a in range(gvn_sum - 1):\r\n      # Take another variable (for breadth) say b and initialize its value to 1.\r\n        b = 1\r\n\r\n        # Loop till the given sum using the another nested for loop.\r\n        for b in range(gvn_sum):\r\n            # Subtract the above variables a, b values from the given sum and store\r\n            # it in a variable say c.\r\n            c = gvn_sum - a - b\r\n            # Multiply the above a, b, c values and store them in another variable.\r\n\r\n            mult = a * b * c\r\n            # Get the maximum value from the above-initialized maxim_vol and above\r\n            # multiplication result using the max() function and store it in\r\n            # another variable.\r\n            maxim_vol = max(maxim_vol, mult)\r\n        # Return the above result which is the maximum volume of a cuboid.\r\n    return maxim_vol\r\n\r\n\r\n# Give the number (sum) as static input and store it in a variable.\r\ngvn_sum = 5\r\n# Pass the given number as an argument to the Maximum_volume() function\r\n# and print it.\r\nprint(\"The maximum volume of a cuboid such that the sum of the side {\", gvn_sum, \"} = \", Maximum_volume(\r\n    gvn_sum))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The maximum volume of a cuboid such that the sum of the side { 5 } =  4<\/pre>\n<h3 id=\"Using_Mathematical_Formula_(User_Input)\">Method #2: Using For loop (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number (sum) as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Create a function to say <strong>Maximum_volume()<\/strong> which takes the given number as an argument and returns the maximum volume of a cuboid such that the sum of the side is the given sum.<\/li>\n<li>Inside the function, take a variable to say <strong>maxim_vol<\/strong> and initialize its value to 0.<\/li>\n<li>Take another variable (for length)\u00a0 say <strong>a<\/strong> and initialize its value to 1.<\/li>\n<li>Loop till the given sum -1 using the for loop.<\/li>\n<li>Take another variable (for breadth) say <strong>b<\/strong> and initialize its value to 1.<\/li>\n<li>Loop till the given sum using another nested for loop.<\/li>\n<li>Subtract the above variables a, b values from the given sum and store it in a variable say <strong>c <\/strong>(for height).<\/li>\n<li>Multiply the above a, b, c values and store them in another variable.<\/li>\n<li>Get the maximum value from the above-initialized <strong>maxim_vol <\/strong>and above multiplication result using the max() function and store it in another variable.<\/li>\n<li>Return the above result which is the maximum volume of a cuboid.<\/li>\n<li>Pass the given number as an argument to the <strong>Maximum_volume<\/strong><strong>() <\/strong>function and print it.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Create a function to say Maximum_volume() which takes the given number as an\r\n# argument and returns the maximum volume of a cuboid such that the sum of the side\r\n# is the given sum.\r\n\r\ndef Maximum_volume(gvn_sum):\r\n  # Inside the function, take a variable and initialize its value to 0.\r\n    maxim_vol = 0\r\n\r\n    # Take another variable (for length)\u00a0say a and initialize its value to 1.\r\n    a = 1\r\n    # Loop till the given sum -1 using the for loop.\r\n    for a in range(gvn_sum - 1):\r\n      # Take another variable (for breadth) say b and initialize its value to 1.\r\n        b = 1\r\n\r\n        # Loop till the given sum using the another nested for loop.\r\n        for b in range(gvn_sum):\r\n            # Subtract the above variables a, b values from the given sum and store\r\n            # it in a variable say c.(for height)\r\n            c = gvn_sum - a - b\r\n            # Multiply the above a, b, c values and store them in another variable.\r\n\r\n            mult = a * b * c\r\n            # Get the maximum value from the above-initialized maxim_vol and above\r\n            # multiplication result using the max() function and store it in\r\n            # another variable.\r\n            maxim_vol = max(maxim_vol, mult)\r\n        # Return the above result which is the maximum volume of a cuboid.\r\n    return maxim_vol\r\n\r\n\r\n# Give the number (sum) as user input using the int(input()) function and \r\n# store it in a variable.\r\ngvn_sum = int(input(\"Enter some random number = \"))\r\n# Pass the given number as an argument to the Maximum_volume() function\r\n# and print it.\r\nprint(\"The maximum volume of a cuboid such that the sum of the side {\", gvn_sum, \"} = \", Maximum_volume(\r\n    gvn_sum))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 11\r\nThe maximum volume of a cuboid such that the sum of the side { 11 } = 48<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Given the sum of length, breadth, and height of a cuboid say S and the task is to get the maximum volume of a cuboid such that the sum of the side is S. Examples: Example1: Input: Given sum = 5 Output: The maximum volume of a cuboid such that the sum of the side &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-maximize-volume-of-cuboid-with-given-sum-of-sides\/\"> <span class=\"screen-reader-text\">Python Program for Maximize Volume of Cuboid with Given Sum of Sides<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":23762,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program for Maximize Volume of Cuboid with Given Sum of Sides - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-for-maximize-volume-of-cuboid-with-given-sum-of-sides\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program for Maximize Volume of Cuboid with Given Sum of Sides - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Given the sum of length, breadth, and height of a cuboid say S and the task is to get the maximum volume of a cuboid such that the sum of the side is S. 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