Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The length of a diagonal of a cube is $5 \sqrt{3} cm$. The volume and the surface area of the cube are respectively:

Options:

$150 cm^3$ and $125 cm^2$

$125 cm^3$ and $150 cm^2$

$125 \sqrt{3} cm^3$ and $180 cm^2$

$375 \sqrt{3} cm^3$ and $150 cm^2$

Correct Answer:

$125 cm^3$ and $150 cm^2$

Explanation:

Diagonal of cube = √3 × side

√3 × side = 5√3

side = 5

Volume of cube = ( side )³ = ( 5 )³ = 125

Surface are of cube = 6( side )²

= 6( 5 )²

= 150

The correct answer is Option (2) → $125 cm^3$ and $150 cm^2$