arrow
arrow
arrow
If the length of the longest diagonal of a cubical box is (300 \sqrt{\mathstrut 300}(300​​ cm, find its volume.
Question

If the length of the longest diagonal of a cubical box is (300 \sqrt{\mathstrut 300}​ cm, find its volume.

A.

10000 cm³

B.

400 cm³

C.

100 cm³

D.

1000 cm³

Correct option is D

​Diagonal = Side 3 \sqrt {3} 

Side = 3003=10\frac{\sqrt{300}}{\sqrt{3}} = 10

Volume of Cube = Side3=103=1000cm3Side^3 = 10^3 = 1000 cm^3 ​​

Free Tests

Free
Must Attempt

SSC CGL T-I Similar Paper (Held on 12 Sep 2025 S2)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon200 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

SSC CGL T-I GA Section Test 01

languageIcon English
  • pdpQsnIcon25 Questions
  • pdpsheetsIcon50 Marks
  • timerIcon15 Mins
languageIcon English
Free
Must Attempt

SSC CGL T-I Full Mock Test 1 (Exam Level)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon200 Marks
  • timerIcon60 Mins
languageIcon English
test-prime-package

Access ‘SSC MTS’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
383k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow