Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

If the length of the diagonal of a cube is $7\sqrt{3}$ cm, then the surface area of circle is ________.

Options:

216 cm2

256 cm2

284 cm2

294 cm2

Correct Answer:

294 cm2

Explanation:

We know that,

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

Surface area of cube = 6(side)2

We have,

The length of the diagonal of a cube is 7\(\sqrt {3}\) cm

Diagonal of cube =

\(\sqrt {3}\) × Side of cube = 7√3

= Side = 7

Now, 

Surface area of cube = 6(Side)2 = 6(7)2 = 294 cm2.