Lateral Surface Area of a Cube


 
 
Concept Explanation
 

Lateral Surface Area of a Cube

Lateral Surface Area of Cube: Lateral Surface area consists of four square faces

Area of one square face = large side^2

Area of four face of a cube = 4;times ;side^2

Example: Find the lateral surface area and total surface area of a cube of edge 10 cm.

Solution: We have,

Lateral Surface Area = 4;times ;side^2=4times10^{2}cm^{2} = 400cm^2 

Total Surface Area of Cube = 6;times ;side^2=6times10^{2}cm^{2} = 600cm^2

Example: Find the ratio of the total surface area and lateral surface area of a cube

Solution: We have,

Lateral Surface Area = 4;times ;side^2  and  Total Surface Area of Cube = 6;times ;side^2therefore ;;TSA:LTA=6a^{2}:4a^{2}=3:2

Sample Questions
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Question : 1

Find the lateral surface area of the cube having side of 1.5 m

Right Option : B
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Explanation
Question : 2

If total surface area of a cube is 54 large cm^2, then its lateral surface area is equal to ______________

Right Option : C
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Explanation
Question : 3

Find the total surface area if the lateral surface area of the cube is 484 sq m.

Right Option : C
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Explanation
 
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