**CUBOID**

**Let length = l, breath = b and height= h units. Then**

**i. Volume =(lxbxh) cubic units.**

**ii. Surface area =2(lb+bh+ih) sq.units.**

**iii. Diagonal = 1 ^{2} + b^{2} + h^{2} units.**

**CUBE**

**Let each edge of a cube be of length a. Then,**

**iv. Volume = a ^{3} cubic units.**

**V. Surface area = 6a ^{2} sq. units.**

**vi. Diagonal = 3a units.**

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**CYLINDER**

**Let radius of base = r and height (or length) = h. Then,**

**vii. Volume = (πr ^{2}h) cubic units.**

**viii. Curved surface area = (2πrh) sq. unit.**

**ix. Total surface area = 2πr (h+r) sq. unit.**

**CONE**

**Let radius of base = r and height = h. Then,**

**X. Slant height, l = h ^{2} + r^{2} units.**

**Xi. Volume = (1/3 πr ^{2}h) cubic units**

**xii. Curved surface area = (πrl) sq. units.**

**xiii. Total surface area = (πrl + πr ^{2}) sq. units.**

**SPHERE**

**Let the radius of the sphere be r. Then,**

**xiv. Volume = (4/3 πr ^{3}) cubic units**

**xv. Surface area = (4π r ^{2}) sq. units.**

**HEMISPHERE**

**Let the radius of a hemisphere be r. Then,**

**xvi. Volume = (2/3 πr ^{3}) cubic Units.**

**xvii. Curved Surface area = (2πr ^{2}) sq. units.**

**xviii. Total Surface area = (3πr ^{2}) sq. units.**

**Note: 1 liter = 1000cm ^{3}.**

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