Mensuration |
Surface Area (of 3d figures)
Definition
The surface area of a solid object is the area occupied by its surface. Total surface area (TSA) is the area occupied by the surface of the whole object. Lateral surface area or Curved surface area (LSA/CSA) is the area occupied by the lateral surfaces of objects.
Formulae For finding Surface area (both TSA & LSA)
TSA of a Cuboid- 2(lb+lh+bh), LSA of a Cuboid- 2h(l+b)
where l, b and h are the length, breadth and height of the cuboid.
TSA of a Cube- 6l^2, LSA of a cube- 4l^2
where l is the length of one side
TSA of a Cylinder- 2πr(r+h), LSA of a Cylinder- 2πrh
where r is the radius of the circular face, h is the height between the two circular faces
TSA of a Sphere- 4πr^2
where r is the radius
TSA of a Cone- πr(r+s), CSA of a Cone- πrs
where r is the radius of the circular face, s is the the diagonal distance between its base and vertex
TSA of any 3D figure- Sum of areas of each face
where l, b and h are the length, breadth and height of the cuboid.
TSA of a Cube- 6l^2, LSA of a cube- 4l^2
where l is the length of one side
TSA of a Cylinder- 2πr(r+h), LSA of a Cylinder- 2πrh
where r is the radius of the circular face, h is the height between the two circular faces
TSA of a Sphere- 4πr^2
where r is the radius
TSA of a Cone- πr(r+s), CSA of a Cone- πrs
where r is the radius of the circular face, s is the the diagonal distance between its base and vertex
TSA of any 3D figure- Sum of areas of each face