{"id":4200,"date":"2025-06-07T14:48:13","date_gmt":"2025-06-07T14:48:13","guid":{"rendered":"https:\/\/diznr.com\/?p=4200"},"modified":"2025-06-07T14:48:13","modified_gmt":"2025-06-07T14:48:13","slug":"mathematics-short-tricks-cube-root-tricks-for-test-university","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/mathematics-short-tricks-cube-root-tricks-for-test-university\/","title":{"rendered":"Mathematics Short Tricks\/ CUBE ROOT tricks for University test"},"content":{"rendered":"

Mathematics Short Tricks\/ CUBE ROOT tricks for University test<\/p>\n

[fvplayer id=”655″]<\/p>\n

Here are short and smart cube root tricks<\/strong> in mathematics<\/strong> that will help you quickly find cube roots<\/strong> in university-level tests or competitive exams.<\/p>\n

\n

\ud83d\udcd8 CUBE ROOT TRICKS FOR PERFECT CUBES (1 to 6 digits)<\/strong><\/h2>\n

These tricks only work on perfect cubes<\/strong>. If you’re given a number and asked to find its cube root quickly, follow these steps.<\/p>\n

\n

\u2705 Step-by-Step Trick (For 3 to 6-digit Numbers)<\/strong><\/h3>\n

\ud83d\udc49 Example 1: Find the cube root of 79507<\/strong><\/h3>\n

Step 1:<\/strong> Look at the last digit<\/strong> of the number (unit digit).<\/p>\n

    \n
  • \n

    Last digit is 7<\/strong>.<\/p>\n<\/li>\n

  • \n

    Cube roots end in:<\/p>\n

      \n
    • \n

      If last digit is 1 \u2192 root ends in 1<\/p>\n<\/li>\n

    • \n

      If last digit is 4 \u2192 root ends in 4<\/p>\n<\/li>\n

    • \n

      If last digit is 5 \u2192 root ends in 5<\/p>\n<\/li>\n

    • \n

      If last digit is 6 \u2192 root ends in 6<\/p>\n<\/li>\n

    • \n

      If last digit is 7 \u2192 root ends in 3<\/strong> (Because 3\u00b3 = 27 \u2192 ends in 7)<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

      So, unit digit of cube root = 3<\/strong><\/p>\n

      Step 2:<\/strong> Remove last 3 digits \u2192 79<\/strong> is left.<\/p>\n

      Find the nearest cube<\/strong> less than or equal to 79:<\/p>\n

        \n
      • \n

        4\u00b3 = 64<\/p>\n<\/li>\n

      • \n

        5\u00b3 = 125 \u2192 too big<\/p>\n<\/li>\n<\/ul>\n

        So take 4<\/strong><\/p>\n

        Final Answer: 43<\/strong><\/p>\n

        \u2705 Cube root of 79507 is 43<\/strong><\/p>\n

        \n

        \ud83d\udc49 Example 2: Cube root of 157464<\/strong><\/h3>\n

        Step 1:<\/strong> Last digit is 4<\/strong><\/p>\n

          \n
        • \n

          Cube root of 4 ends in 4<\/strong> (Because 4\u00b3 = 64)<\/p>\n<\/li>\n<\/ul>\n

          Step 2:<\/strong> Remove last 3 digits \u2192 157<\/strong><\/p>\n

          Closest cube less than 157 = 5\u00b3 = 125
          6\u00b3 = 216 \u2192 too big
          So take 5<\/strong><\/p>\n

          Final Answer = 54<\/strong><\/p>\n

          \u2705 Cube root of 157464 is 54<\/strong><\/p>\n

          \n

          \ud83e\udde0 Cube Root Ending Table (Useful to Memorize)<\/h3>\n
          \n
          \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
          Cube Ending Digit<\/th>\nCube Root Ends In<\/th>\n<\/tr>\n<\/thead>\n
          1<\/td>\n1<\/td>\n<\/tr>\n
          2<\/td>\n8<\/td>\n<\/tr>\n
          3<\/td>\n7<\/td>\n<\/tr>\n
          4<\/td>\n4<\/td>\n<\/tr>\n
          5<\/td>\n5<\/td>\n<\/tr>\n
          6<\/td>\n6<\/td>\n<\/tr>\n
          7<\/td>\n3<\/td>\n<\/tr>\n
          8<\/td>\n2<\/td>\n<\/tr>\n
          9<\/td>\n9<\/td>\n<\/tr>\n
          0<\/td>\n0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
          \n
          <\/div>\n<\/div>\n<\/div>\n<\/div>\n

          Tip:<\/strong> Reverse of cube roots of digits helps in quickly identifying the unit digit.<\/p>\n

          \n

          \ud83e\uddee Bonus: Small Cubes to Memorize<\/h3>\n
          \n
          \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
          Number<\/th>\nCube<\/th>\n<\/tr>\n<\/thead>\n
          1\u00b3<\/td>\n1<\/td>\n<\/tr>\n
          2\u00b3<\/td>\n8<\/td>\n<\/tr>\n
          3\u00b3<\/td>\n27<\/td>\n<\/tr>\n
          4\u00b3<\/td>\n64<\/td>\n<\/tr>\n
          5\u00b3<\/td>\n125<\/td>\n<\/tr>\n
          6\u00b3<\/td>\n216<\/td>\n<\/tr>\n
          7\u00b3<\/td>\n343<\/td>\n<\/tr>\n
          8\u00b3<\/td>\n512<\/td>\n<\/tr>\n
          9\u00b3<\/td>\n729<\/td>\n<\/tr>\n
          10\u00b3<\/td>\n1000<\/td>\n<\/tr>\n
          11\u00b3<\/td>\n1331<\/td>\n<\/tr>\n
          12\u00b3<\/td>\n1728<\/td>\n<\/tr>\n
          13\u00b3<\/td>\n2197<\/td>\n<\/tr>\n
          14\u00b3<\/td>\n2744<\/td>\n<\/tr>\n
          15\u00b3<\/td>\n3375<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
          \n
          <\/div>\n<\/div>\n<\/div>\n<\/div>\n
          \n

          \u2705 Practice Questions:<\/h3>\n

          Try finding cube roots of these perfect cubes using the trick:<\/p>\n

            \n
          1. \n

            74088 = ?<\/p>\n<\/li>\n

          2. \n

            328509 = ?<\/p>\n<\/li>\n

          3. \n

            125 = ?<\/p>\n<\/li>\n

          4. \n

            29791 = ?<\/p>\n<\/li>\n<\/ol>\n

            Would you like a PDF notes version, or a video script based on this content?<\/p>\n","protected":false},"excerpt":{"rendered":"

            Mathematics Short Tricks\/ CUBE ROOT tricks for University test [fvplayer id=”655″] Here are short and smart cube root tricks in mathematics that will help you quickly find cube roots in university-level tests or competitive exams. \ud83d\udcd8 CUBE ROOT TRICKS FOR PERFECT CUBES (1 to 6 digits) These tricks only work on perfect cubes. If you’re […]<\/p>\n","protected":false},"author":64,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[83],"tags":[],"class_list":["post-4200","post","type-post","status-publish","format-standard","hentry","category-mathematics-short-tricks"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/4200","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=4200"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/4200\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=4200"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=4200"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=4200"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}