Total Surface Area and Lateral Surface Area

Total Surface Area is the sum of the areas of all the faces (including bases) of a three-dimensional shape.

Lateral Surface Area is the sum of the areas of all the faces of a three-dimensional shape, excluding the bases.

Total Surface Area = 2lw + 2lh + 2wh, where l = length, w = width, h = height.

Lateral Surface Area = 2h(l + w), where l = length, w = width, h = height.

Total Surface Area = 2πr(h + r), where r = radius and h = height.

Lateral Surface Area = 2πrh, where r = radius and h = height.

Total surface area includes the base(s) and all the faces while lateral does not include the base(s).

Total Surface Area = πr(r + l), where r = radius and l = slant height.

Lateral Surface Area = πrl, where r = radius and l = slant height.

Total Surface Area = 4πr², where r = radius.