Question

2. Find the total surface area and the lateral surface area
of a cube having length 5 cm.​

Answer 1

Given :-

• Side of a cube is 5 cm

To Find :-

• Total Surface area and Lateral surface area

Solution :-

~Here, we're given the side of a cube and we need to find the total and lateral surface area of that cube. We can easily find the both by putting the values in the formula.

_____________

As we know that ,

★ Total Surface area of cube ( TSA ) = 6 × ( Side )²

★ Lateral Surface area of cube ( LSA ) = 4 × ( Side )²

Finding the TSA :-  

⟶ 6 × ( Side )² = TSA  

⟶ 6 × ( 5 )²  

⟶  6 × 25

⟶ TSA = 150 cm²

Finding the LSA :-  

⟶ 4 × ( Side )² = LSA  

⟶ 4 × ( 5 )²  

⟶  4 × 25

⟶ LSA = 100 cm²

_____________

Hence,

• Total surface area of the cube is 150 cm²
• Lateral surface area of the cube is 100 cm²

Answer 2

Given:

• Side of cube is 5cm

To find :

• Total surface area of cube?
• Lateral surface area of cube ?

Solution:

We have given that length of side of a cube is 5cm.

According to find Total surface and Lateral surface area of cube,

We know that :

• $\large{\boxed{\sf{\orange{Total\:surface\:area_{(cube)}\:=\: 6a²}}}}$
• $\large{\boxed{\sf{\orange{Lateral\:surface\:area_{(cube)}\:=\: 4a²}}}}$

Where,

• a = side of cube.

Finding Total surface area :-

☯ Side of cube(a) = 5cm

$\large{\sf{Total\:surface\:area\:_{(cube)}\:=\: 6a²}}$

$\implies\large{\sf{Total\: surface\:area_{(cube)}\:=\: 6 × 5²}}$

$\implies\large{\sf{Total\: surface\:area_{(cube)}\:=\: 6 ×25}}$

$\implies\large{\sf{Total\: surface\:area_{(cube)}\:=\: 150}}$

______________

Finding Lateral surface area:-

☯ Side of cube (a) = 5cm

$\large{\sf{Lateral\: surface\:area_{(cube)}\:=\: 4a²}}$

$\implies\large{\sf{Lateral\: surface\:area_{(cube)}\:=\: 4× 5²}}$

$\implies\large{\sf{Lateral\: surface\:area_{(cube)}\:=\: 4 × 25}}$

$\implies\large{\sf{Lateral\: surface\:area_{(cube)}\:=\:100}}$

Therefore,

• $\large{\boxed{\sf{\red{Total\: surface\:area\:of\:cube\: is\: 150cm²}}}}$
• $\large{\boxed{\sf{\red{Lateral\: surface\:area\:of\: cube\:is\:100cm²}}}}$