Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If the length of diagonal of a cube is $8\sqrt{3}$ cm then what is its surface area?

Options:

164 cm2

64 cm2

384 cm2

204 cm2

Correct Answer:

384 cm2

Explanation:

We know that,

Diagonal of cube = \(\sqrt {3}\) × Side of cube

Surface area of cube = 6a2 

Diagonal of cube = Side of cube \(\sqrt {3}\) = 8\(\sqrt {3}\)

= Side of cube = 8 

Now, surface area of cube = 6(8)2 = 384 cm2.