Q.

If the length of the body diagonal of the cube is 63cm, then find the length of the edge of the cube.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

21 3 cm  

b

26cm 

c

25cm

d

22cm

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given, length of the body diagonal of the cube is 63cm.
Let 'a' be the edge of the cube.
The body diagonal of the cube is given by,
  d=a 3  .
Since d=a 3   it can be written as,
63=a3
633=a
a=21 3 cm  
The length of the edge of the cube is 21 3 cm  .
Therefore, the correct option is 2.
 
Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon