Question

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2
3. The lateral surface area of a cube is 64 m, find its
total surface area.​

Answer 1

Answer:

TSA of cube is 96 m².

Step-by-step explanation:

Given :-

• The lateral surface area of a cube is 64 m.

To find :-

• Total surface area of cube.

Solution :-

Let the each side of cube be a m.

★Formula used :

${\boxed{\sf{CSA\:of\:cube=4a^2}}}$

According to the question,

4a² = 64

→ a² = 64/4

→ a² = 16

→ a = √16

→ a = 4

Each side of cube is 4 m.

★Formula used :

${\boxed{\sf{TSA\:of\:cube=6a^2}}}$

Total surface area of cube,

= 6a²

= 6×(4)² m²

= 6 × 16 m²

= 96 m²

Therefore, total surface area of cube is 96 m².

Answer 2

Answer:

✡ $\bold{\large{\fbox{\color{blue} {</em><em>QU</em><em>ESTION</em><em>}}}}$

✏ The lateral surface area of a cube is 64m, find its total surface area.

✡ $\bold{\large{\fbox{\color{blue} {</em><em>GIVE</em><em>N</em><em>}}}}$

✏ The lateral surface area of a cube is 64m.

✡ $\bold{\large{\fbox{\color{blue} {</em><em>TO</em><em> </em><em>FIN</em><em>D</em><em>}}}}$

✏ Total surface area of cube.

✡ $\bold{\large{\fbox{\color{blue} {</em><em>FORMU</em><em>LA</em><em> </em><em>USE</em><em>D</em><em>}}}}$

➡ CSA of Cube = 4a²

➡ TSA of Cube = 6a²

✡ Solution ✡

✏ Let the each side of cube be a m.

▶ According to the question:-

⭐ CSA of Cube = 4a² ⭐

=>4a² = 64

=>a² = 64/4

=> a² = 16

=> a = √16

=> a = 4

✍Each side of cube is 4 m.

⭐ TSA of Cube = 6a² ⭐

Total surface area of cube,

➡ 6a²

=> 6×(4)² m²

=> 6 × 16 m²

=> 96m²

▶Therefore, total surface area of cube is 96 m².

Step-by-step explanation:

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