Question

# If the lateral surface area of a cube is $$1600\ cm^2$$, then its edge is

A
15cm
B
18cm
C
20cm
D
25cm

Solution

## The correct option is C $$20cm$$Let the edge of the cube be $$a$$ cm.Lateral surface area of cube $$=4{ a }^{ 2 }$$$$\therefore 4{ a }^{ 2 }=1600$$$$\Rightarrow { a }^{ 2 }=400$$$$\Rightarrow a =\sqrt{400}$$$$\Rightarrow a=20$$Hence, the edge of the cube is $$20\ cm$$Mathematics

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