About This Cheat Sheet

Complete guide to Volume and Surface Areas for competitive exams: basic concepts of volume (space occupied by 3D object) and surface area (total area of all surfaces), formulas for cube (volume = a³, surface area = 6a², diagonal = a√3), cuboid (volume = l×b×h, surface area = 2(lb+bh+hl), diagonal = √(l²+b²+h²)), cylinder (volume = πr²h, curved surface area = 2πrh, total surface area = 2πr(r+h)), hollow cylinder (volume = πh(R²-r²), surface area = 2πh(R+r) + 2π(R²-r²)), cone (volume = (1/3)πr²h, curved surface area = πrl, total surface area = πr(r+l), slant height l = √(h²+r²)), sphere (volume = (4/3)πr³, surface area = 4πr²), hemisphere (volume = (2/3)πr³, curved surface area = 2πr², total surface area = 3πr²), frustum of cone (volume = (1/3)πh(R²+Rr+r²), surface area formulas), problems on combination of solids, problems on conversion of shapes (melting and recasting), problems on water flow in pipes (volume/time), problems on number of smaller objects from larger object, problems on cost based on volume or surface area, problems on ratio of volumes or surface areas, effect of change in dimensions on volume and surface area, and shortcut tricks for SSC, Banking, Railway, UPSC, and other government exams.