Question

The lateral surface area of a cube of side 7 cm is equal to ?​

Answer 1

Given :

• length of each side of cube = 7cm

To find :

• lateral surface area (LSA) of the cube.

Formula used :

• LSA = 4 a²

Where :-

• LSA = lateral surface area

• a = length of each side of cube

Solution :

length of each side of cube = 7cm

$\implies \: LSA = 4 {a}^{2}$

Now put a = 7

$\implies \: LSA = 4 \times {7}^{2}$

$\implies \: LSA = 4 \times {7} \times 7$

$\implies \: LSA = 4 \times49$

$\implies \: LSA = 196 {cm}^{2}$

Answer :

lateral surface area (LSA) of the cube = 196 cm²

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$\large\bf\blue{Additional-Information}$

• Volume of cylinder = πr²h

• T.S.A of cylinder = 2πrh + 2πr²

• Volume of cone = ⅓ πr²h

• C.S.A of cone = πrl

• T.S.A of cone = πrl + πr²

• Volume of cuboid = l × b × h

• C.S.A of cuboid = 2(l + b)h

• T.S.A of cuboid = 2(lb + bh + lh)

• C.S.A of cube = 4a²

• T.S.A of cube = 6a²

• Volume of cube = a³

• Volume of sphere = 4/3πr³

• Surface area of sphere = 4πr²

• Volume of hemisphere = ⅔ πr³

• C.S.A of hemisphere = 2πr²

• T.S.A of hemisphere = 3πr²

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Answer 2

Lateral surface area of cube is equal to area of sides except top and bottom.

⟹ L.S.A of cube = 4 × a²

= 4 × (7)²

= 196 cm²