Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If the longest diagonal of a cube is $6\sqrt{3}$ cm, then its volume and surface area are _____ and _____ respectively.

Options:

$216 cm^3$ and $210 cm^2$

$216 cm^3$ and $216 cm^2$

$216 cm^3$ and $226 cm^2$

$226 cm^3$ and $226 cm^2$

Correct Answer:

$216 cm^3$ and $216 cm^2$

Explanation:

Longest Diagonal of a cube = a√3 = 6√3

⇒ a = 6 cm

⇒ Surface area of cube = 6 × a2 = 6 × 62

∴ 6 × 36 = 216 cm2

its volume a3 = 63 = 216cm3