Surface Area of Solids
Cube:
A cube is a three-dimensional figure, a solid made up of six equal squares called faces.

cube, LSA, lateral surface area, surface area, lateral faces

The lateral surface area (LSA) of a cube = 4l2.

Total surface area (TSA) = 6l2.

Cuboid:
A cuboid is a solid made up of six rectangles, called faces. The total area of a cuboid is the sum of the areas of these faces.

cuboid, lateral surface area, total surface area, total surface area of a cuboid, lateral surface area of a cuboid

The lateral surface area (LSA) of a cuboid = 2h (l + b).

Total surface area (TSA) = 2(lb + bh + hl).

Cylinder:
A cylinder is a solid composed of two congruent circles in parallel planes.

curved surface area, cylinder, total surface area of a cylinder, curved surface area of cylinder, total surface area

Curved surface area (CSA) of a cylinderical pillar = 2πrh.

Total surface area (TSA) = 2πr(r + h).

Area of the four walls of a room = 2 x (l + b) x h = Perimeter of the floor x height.

where l = length, b = breadth and h = height.

Hollow cylinder
A solid bounded by two coaxial cylinders of the same height and different radii is called a hollow cylinder.

Surface area of each base = π(R2 - r2).

Curved surface area (CSA) = 2πh(R + r).

Total surface area (TSA) = 2π(R + r)(h + R - r), where R = external radius, r = internal radius and h = height.

Summary

Cube:
A cube is a three-dimensional figure, a solid made up of six equal squares called faces.

cube, LSA, lateral surface area, surface area, lateral faces

The lateral surface area (LSA) of a cube = 4l2.

Total surface area (TSA) = 6l2.

Cuboid:
A cuboid is a solid made up of six rectangles, called faces. The total area of a cuboid is the sum of the areas of these faces.

cuboid, lateral surface area, total surface area, total surface area of a cuboid, lateral surface area of a cuboid

The lateral surface area (LSA) of a cuboid = 2h (l + b).

Total surface area (TSA) = 2(lb + bh + hl).

Cylinder:
A cylinder is a solid composed of two congruent circles in parallel planes.

curved surface area, cylinder, total surface area of a cylinder, curved surface area of cylinder, total surface area

Curved surface area (CSA) of a cylinderical pillar = 2πrh.

Total surface area (TSA) = 2πr(r + h).

Area of the four walls of a room = 2 x (l + b) x h = Perimeter of the floor x height.

where l = length, b = breadth and h = height.

Hollow cylinder
A solid bounded by two coaxial cylinders of the same height and different radii is called a hollow cylinder.

Surface area of each base = π(R2 - r2).

Curved surface area (CSA) = 2πh(R + r).

Total surface area (TSA) = 2π(R + r)(h + R - r), where R = external radius, r = internal radius and h = height.

Videos

References

Previous