Curved Surface Area of a Cube

A cube has 6 equal square faces, 12 equal edges, and 8 vertices. All faces are flat — there are NO curved surfaces.

Curved Surface Area (CSA) of a Cube: → CSA of Cube = 0 (A cube has no curved surface)

Note: Questions asking for CSA of a cube might actually mean the Lateral Surface Area (LSA). In school textbooks, CSA and LSA are used interchangeably for 3D shapes with curved surfaces (cylinder, cone). For a cube, only LSA applies.

Lateral Surface Area (LSA) of a Cube: → LSA = 4a² (area of 4 side faces, excluding top and bottom) Where a = side length of the cube

Total Surface Area (TSA) of a Cube: → TSA = 6a² (area of all 6 faces)

Example: If side of cube a = 5 cm: • LSA = 4 × 5² = 4 × 25 = 100 cm² • TSA = 6 × 5² = 6 × 25 = 150 cm² • CSA = 0 (no curved surface)

Volume of Cube: → V = a³

Comparison of Surface Area Formulas:

Key Takeaway: Only shapes with rounded/curved surfaces (cylinder, cone, sphere) have a true curved surface area. A cube and cuboid have only flat surfaces, so their CSA is technically zero. In practice, textbooks sometimes ask for LSA (4a² for cube) when they say 'curved surface area' for cube — but the correct answer for CSA of a cube is 0.