Find the volume of a cube whose diagonal length is $18\sqrt{3}$ cm.

Find the volume of a cube whose diagonal length is $18\sqrt{3}$ cm.
उस घन का आयतन ज्ञात कीजिए जिसके विकर्ण की लम्बाई $18\sqrt{3}$ cm है।

8,235 cm$^3$ 3,258 cm$^3$ 2,538 cm$^3$ 5, 832 cm$^3$

Detailed Solution & Logic

Correct Answer:

5, 832 cm$^3$

For a cube, diagonal $d = a\sqrt{3}$

Given:
$d = 18\sqrt{3}$

So,
$a\sqrt{3} = 18\sqrt{3}$

$\Rightarrow a = 18$ cm

Volume of cube:
$a^3 = 18^3 = 5832\ \text{cm}^3$

✅ Final Answer: 5832 cm³

Our Learning Network:

"Daily Current Affairs → GKNow.in"

Get latest updates, jobs, results & quizzes directly on your device.

Scroll to Top