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**Volume and Surface Important formulas:**

**1.CUBOID:**

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

(i)Volume = (l x b x h) cubic units.

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

(iii) Diagonal = √l^{2} +b^{2} +h^{2}

**2.CUBE:**

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

(i) Volume = a^{3} cubic units.

(ii) Surface area = 6a^{2} sq. units.

(iii) Diagonal = √3a units.

**3.CYLINDER:**

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

(i)Volume = (pi x r^{2}h) cubic units.

(ii)Curved surface area = (2 x pi x rh) sq. units.

(iii)Total surface area = 2x pi xr(h + r) sq. units.

**4.CONE:**

Let radius of base = r and Height = h. Then,

(i) Slant height, l = √h^{2} +r^{2} units.

(ii) Volume = (1/3 pi x r^{2}h) cubic units.

(iii) Curved surface area = (pi x rl) sq. units.

(iv) Total surface area = (pi x rl +pi x r^{2}) sq. units

**5.SPHERE:**

Let the radius of the sphere be r. Then,

Volume = (4/3 pi x r^{3}) cubic units.

Surface area = (4 x pi xr^{2}) sq. units

**6.HEMISPHERE:**

Let the radius of a hemisphere be r. Then,

(i) Volume =(2/3 x pi x r^{3}) cubic units.

(ii) Curved surface area = (2 x pi x r^{2}) sq. units.

(iii) Total surface area = (3x pi x r^{2}) sq. units.

**Note:** 1 litre = 1000 cm3.

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