Question

side of a cube is 4.5cm. Find the surface area of all vertical faces and total surface area of the cube?​

Answer 1

Answer:

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Step-by-step explanation:

Sum of Surface area of vertical faces = 4 a^2

= 4 × 4.5 × 4.5

= 9 × 9

= 81 cm^2

Total Surface area = 6 a^2

= 6 × 4.5 × 4.5

= 9 × 13.5

= 121.5 cm^2

answer

Answer 2

Given :-

Side of the cube = 4.5 cm

To Find :-

The surface area of all vertical faces.

The total surface area of the cube.

Analysis :-

Substitute the given values in the formula of LSA and find it accordingly.

Then, find the TSA accordingly.

Solution :-

We know that,

• a = Side
• TSA = Total Surface Area
• LSA = Lateral Surface Area

By the formula,

$\underline{\boxed{\sf Lateral \ surface \ area=4a^2}}$

Substituting their values,

4 × (4.5)²

= 81 cm²

Therefore, the LSA is 81 cm².

By the formula,

$\underline{\boxed{\sf Total \ surface \ area=6a^2}}$

Substituting their values,

6 × (4.5)²

= 121.5 cm²

Therefore, the TSA is 121.5 cm².