Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The total surface area of a regular tetrahedron with each edge of length √3 cm is -

Options:

6√3 cm² 

4√3 cm²

3√3 cm²

27 cm²

Correct Answer:

3√3 cm²

Explanation:

T.S.A. of a tetrahedron

= 4 × \(\frac{(\sqrt {3})}{4}\) × (edge)2

= \(\sqrt {3}\)a2

 = \(\sqrt {3}\) (\(\sqrt {3}\))2

= 3\(\sqrt { 3}\) cm2