arrow
arrow
arrow
The length of the longest diagonal of a cube is 7√3 cm. Find its volume (in cm³).
Question

The length of the longest diagonal of a cube is 7√3 cm. Find its volume (in cm³).

A.

49√3

B.

343√3

C.

343

D.

334

Correct option is C

Given: 
Longest diagonal of the cube = 73cm7\sqrt{3}cm 
Formula Used: 
diagonal of the cube = a3a\sqrt{3}​​
Volume of the cube = a3a^3 
where a is side
Solution:

Free Tests

Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Hindi Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon12 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Full Mock Test 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
test-prime-package

Access ‘SSC CGL Tier I’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow