Surface Areas And Volumes Of Solid Figures

Surface area is the total area

Surface area is the total area of all faces or surfaces of a solid figure, measured in square units. Volume is the amount of space occupied by a solid

For a cuboid with length l

For a cuboid with length l, breadth b, and height h: Surface Area = 2(lb + bh + hl), Volume = lbh, Diagonal = √(l² + b² + h²). Special case: Area of f

For a cube with edge length

For a cube with edge length a: Surface Area = 6a², Volume = a³, Diagonal = a√3. A cube is a special cuboid where all edges are equal.

For a cylinder with radius r

For a cylinder with radius r and height h: Curved Surface Area = 2πrh, Total Surface Area = 2πr(r + h), Volume = πr²h. CSA covers only the curved surf

For a cone with radius r

For a cone with radius r, height h, and slant height l: l = √(r² + h²), Curved Surface Area = πrl, Total Surface Area = πr(l + r), Volume = (1/3)πr²h.