Question

1. Find the total surface area of cubes having the following sides.
(i) 3 cm (ii) 5 cm
(v) 5.5 m
(iii) 7.2 m
(iv) 6.8 m
dth and he​

Answer 1

Given :

• Sides of Cube are 3 cm , 5 cm , 7.2 m , 6.8 m and 5.5 m .

To Find :

• Total Surface Area of Cube .

Solution :

(i) Side of Cube = 3 cm

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cube=6\:{a}^{2}}$

Putting Values :

$\longmapsto\tt{6\times{{(3)}^{2}}}$

$\longmapsto\tt{6\times{9}}$

$\longmapsto\tt\bf{54\:{cm}^{2}}$

___________________

(ii) Side of Cube = 5 cm

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cube=6\:{a}^{2}}$

Putting Values :

$\longmapsto\tt{6\times{{(5)}^{2}}}$

$\longmapsto\tt{6\times{25}}$

$\longmapsto\tt\bf{150\:{cm}^{2}}$

___________________

(iii) Side of Cube = 7.2 m

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cube=6\:{a}^{2}}$

Putting Values :

$\longmapsto\tt{6\times{{(7.2)}^{2}}}$

$\longmapsto\tt{6\times{51.84}}$

$\longmapsto\tt\bf{311.04\:{m}^{2}}$

___________________

(iv) Side of Cube = 6.8 m

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cube=6\:{a}^{2}}$

Putting Values :

$\longmapsto\tt{6\times{{(6.8)}^{2}}}$

$\longmapsto\tt{6\times{46.24}}$

$\longmapsto\tt\bf{277.44\:{m}^{2}}$

___________________

(v) Side of Cube = 5.5 m

Using Formula :

$\longmapsto\tt\boxed{T.S.A\:of\:Cube=6\:{a}^{2}}$

Putting Values :

$\longmapsto\tt{6\times{{(5.5)}^{2}}}$

$\longmapsto\tt{6\times{30.25}}$

$\longmapsto\tt\bf{181.5\:{m}^{2}}$

So , The Total Surface Area of Cube is 54 cm² , 150 cm² , 311.04 m² , 277.44 m² and 181.5 m² respectively .

Answer 2

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