# SURFACE AREA

Cube :
Let a be the length of each edge. Then,
1.      Volume of the cube = a3 cubic units
2.      Surface Area = 6a2 square units
3.      Diagonal = v 3 a units
Cuboid :
Let l be the length, b be the breadth and h be the height of a cuboid. Then
1.      Volume = lbh cu units
2.      Surface Area = 2(lb+bh+lh) sq units
3.      Diagonal = v (l2+b2+h2)

Cylinder :
Let radius of the base be r and height of the cylinder be h. Then,
1.      Volume = ?r2h cu units
2.      Curved Surface Area = 2?rh sq units
3.      Total Surface Area = 2?rh + 2?r2 sq units
Cone :
Let r be the radius of base,  h be the height, and l be the slant height of the cone. Then,
1.      l2 = h2 + r2
2.      Volume = 1/3(?r2h) cu units
3.      Curved Surface Area = ?rl sq units
4.      Total Surface Area = ?rl + ?r2 sq units
Sphere :
Let r be the radius of the sphere. Then,
1.      Volume = (4/3)?r3 cu units
2.      Surface Area = 4?r2 sq units
Hemi-sphere :
Let r be the radius of the hemi-sphere. Then,
1.      Volume = (2/3)?r3 cu units
2.      Curved Surface Area = 2?r2 sq units
3.      Total Surface Area = 3?r2 sq units
Prism :
1.   Volume = (Area of base)(Height)