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Question

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


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