Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

Find the length of diagonal (in cm) of a cube if the volume of the cube is 1331 cm3.

Options:

$331\sqrt{3}$

$21\sqrt{3}$

$11\sqrt{3}$

$111\sqrt{3}$

Correct Answer:

$11\sqrt{3}$

Explanation:

We know that,

Volume of cube = (side)3

Length of diagonal = √3 side

We have,

Volume of cube = 1331 cm3

= (Side)= 1331

= Side = 11 cm

Length of diagonal = √3 × side = 11√3 cm