If the diagonal of a cube is of length &

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If the diagonal of a cube is of length ‘l’, then the total surface area of the cube is?

Options:

\(\sqrt {3 }\) l²

l²

2 l²

3 l²

Correct Answer:

2 l²

Explanation:

Diagonal = \(\sqrt {3}\)a

l = \(\sqrt {3}\) a

a = \(\frac{l}{\sqrt {3}}\)

T.S.A. = 6a² = 6\(\frac{l^2}{3}\) = 2 l²