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Q.

What is the ratio of the total surface area and lateral surface area of a cube?

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a

1:3

b

2:3

c

3:2

d

1:2

answer is C.

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Detailed Solution

Given- A cube is given with edge ‘a’.
At first, we will find the total surface area
Total surface area (TSA) of a cube with side a= 6a² -eq.(1) Now, we will apply the formula to find the lateral surface area of the cube.
Lateral surface area (LSA) of a cube with side a= 4a² -eq.(2) By dividing eq.(1) by eq . (2) find the ratio of total surface area and lateral surface area of the cube.
Thus,

⇒ T S A L S A = 6 a 2 4 a 2 ⇒ T S A L S A = 32

Therefore, the ratio of the total surface area and lateral surface area of a cube is 3:2.
Hence, option 3 is the correct option.

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