International Science Community Association Research Journal of Recent Sciences 15 3 2026 07 2 Measurement of volumes in the Gaṇita-Sāra-Saṅgraha of Mahāvīrācārya (c.850 AD) 115 118 EN Sahu Suresh 1 Government Engineering College, Ajmer, Rajasthan, India Kumar Vinod 1 NTPC Energy Technology Research Alliance (NETRA), Plot No. E-3, Ecotech-II, Udyog Vihar, Greater Noida -201306, Uttar Pradesh, India Aggarwal Akanksha 2 NTPC Energy Technology Research Alliance (NETRA), Plot No. E-3, Ecotech-II, Udyog Vihar, Greater Noida -201306, Uttar Pradesh, India Kulshershtha Amit 3 NTPC Energy Technology Research Alliance (NETRA), Plot No. E-3, Ecotech-II, Udyog Vihar, Greater Noida -201306, Uttar Pradesh, India Kumar Manish 4 NTPC Energy Technology Research Alliance (NETRA), Plot No. E-3, Ecotech-II, Udyog Vihar, Greater Noida -201306, Uttar Pradesh, India Kumar Shanta 5 NTPC Energy Technology Research Alliance (NETRA), Plot No. E-3, Ecotech-II, Udyog Vihar, Greater Noida -201306, Uttar Pradesh, India Tripathi Raj Kumar 6 NTPC Energy Technology Research Alliance (NETRA), Plot No. E-3, Ecotech-II, Udyog Vihar, Greater Noida -201306, Uttar Pradesh, India Saini Yashwant Kumar 7 NTPC Energy Technology Research Alliance (NETRA), Plot No. E-3, Ecotech-II, Udyog Vihar, Greater Noida -201306, Uttar Pradesh, India Gupta Shyam Manohar 8 NTPC Energy Technology Research Alliance (NETRA), Plot No. E-3, Ecotech-II, Udyog Vihar, Greater Noida -201306, Uttar Pradesh, India Ram Anshu Beulah 1 Department of Biotechnology, Nrupathunga University, Nrupathunga Road, Bangalore, Karnataka 560001, India Kour Gurshish 2 Clinical Microbiology Division, Indian Institute of Integrative Medicine (CSIR), Canal Road, Jammu 180 001, India P. Priya 1 Department of PG studies in Biotechnology, Nrupathunga University, Bengaluru, Karnataka, India P.R. Druthi 2 Department of PG studies in Biotechnology, Nrupathunga University, Bengaluru, Karnataka, India M. Jeevitha 3 Department of PG studies in Biotechnology, Nrupathunga University, Bengaluru, Karnataka, India Kabhade Sarina P. 4 Department of PG studies in Biotechnology, Nrupathunga University, Bengaluru, Karnataka, India Stella Bhupanapadu Sunkesula Mary 5 Insearch Laboratory, Bengaluru, Karnataka, India M. Jeevitha 1 Department of Biotechnology, Nrupathunga University, Bengaluru, Karnataka, India P.R. Druthi 2 Department of Biotechnology, Nrupathunga University, Bengaluru, Karnataka, India P. Priya 3 Department of Biotechnology, Nrupathunga University, Bengaluru, Karnataka, India Kabhade Sarina P 4 Department of Biotechnology, Nrupathunga University, Bengaluru, Karnataka, India Stella Bhupanapadu Sunkesula Mary 5 Insearch Laboratory, Bengaluru, Karnataka, India P. Rajeshwari 1 Government Science College, Chitradurga, Karnataka, India Raveesha K.A. 2 Life Sciences, JSS Academy of Higher Education and Research (JSSAHER) Mysuru, Karnataka, India B. Kavitha 1 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India Shetty Chandana R 2 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India R. Pavithra 3 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India V. Vanaja 4 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India Varshini Vidhya 5 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India N. Anuroopa 1 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India R. Prajwal 2 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India M. Kishore Rao 3 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India C. Deepika 4 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India M. Jayashree 5 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India P. Rashmi 6 Department of Microbiology, Nrupathunga University, Bengaluru, Karnataka, India N. Hithyshi 1 Department of Post-Graduate Studies in Zoology, Nrupathunga University, Bengaluru, India B.C. Shashikanth 2 Department of Post-Graduate Studies in Zoology, Nrupathunga University, Bengaluru, India D.A. Uday Kumar 3 Department of Post-Graduate Studies in Zoology, Nrupathunga University, Bengaluru, India H.M. Mohan Kumar 4 Department of Post-Graduate Studies in Zoology, Nrupathunga University, Bengaluru, India S. Priya 1 Department of Computer Science, Government First Grade College, Domlur Shanthi Nagar, Bengaluru, India Urs Bharathi Shettahalli Nagaraje 1 Department of Mathematics, Government Science College, Chitradurga, Karnataka, India Gonasagi Pushpalata 1 Department of Computer Science, Govt. First Grade College Mahagaon Cross, Kalaburagi, Karnataka, India L.A. Priyanka 1 St Pauls College, Bangalore, Karnataka, India C. Subramani 2 GFGC and PG centre Shankaranarayana, Udupi, Karnataka, India N. Asha 1 Department of Computer Science, Nrupathunga University (Formerly Government Science College), Bangalore, Karnataka, India S. Sinchana 2 Department of CSE, BGS College of Engineering and Technology, Bangalore, Karnataka, India B.S. Jyothsna 1 Department of Botany, Government Science College, N.T. Road, Bangalore-01, Karnataka, India Gonchigara Thippeswamy 1 Department of Mathematics, Government First Grade College, Harapanahalli, Vijayanagara Dt.-583131, Karnataka, India Lingappa Alageri 1 Government First Grade College, Sandur- 583119, Karnataka, India Hanagodimath S.M. 2 Department of PG Studies and Research in Physics, Gulbarga University, Kalaburagi-585 106, Karnataka, India V. Vanaja 1 Department of Mathematics, Government First Grade College, Yelahanka, Bangalore-560 064, India M. Shailaja 2 Department of Mathematics, Government First Grade College, Yelahanka, Bangalore-560 064, India > Research Article 2026 4 14 2026 07 2 Ancient Indian mathematical texts presented detailed problems in arithmetic, algebra, and geometry, which were essential for daily life. Mahāvīrācārya’s treatise, the Gaṇita-Sāra-Saṅgraha (GSS), represents a significant contribution to mathematics. This work comprises nine chapters and approximately 1100 verses. Chapter eight, titled Khātavyavahāraḥ (Calculations regarding excavations), uniquely and thoroughly addresses calculations for the depth of a ditch, the volume of a pyramid and its frustum, the volume of a cone, and the volume of a sphere. He developed formulas for calculating the areas and volumes of both regular and irregular polygons. His contributions represent a significant and distinctive advancement upon the work of earlier mathematicians such as Āryabhaṭa and Bramhagupta. This paper examines issues concerning certain calculations and other Indian mathematical texts, offering modern mathematical interpretations. Copyright@ International Science Community Association