The total surface area of a cube is 486 cm^2. Find its lateral surface area and diagonal of the cube.
in Mathematics
24 views
3 Votes
3 Votes

The total surface area of a cube is 486 cm2. Find its lateral surface area and diagonal of the cube.

in Mathematics
by
7.2k Points

1 Answer

3 Votes
3 Votes
 
Best Answer

Solution —

Total surface area of cube 

= 6a=486

​​​​a= 486/6 = 81

a​​​​= 81 

a = 9 cm

Lateral surface area of cube 

= 4a2 

= 4 × 81

= 324 cm2

Diagonal = √3 a

                 = √3 × 9

                 = 9√3 cm

​​​​

by
7.2k Points

Related Questions

Welcome To Informesia

Informesia Helps You To Prepare India's All States Board Exams (CBSE, ICSE, UP Board, BSEB, HPBOSE, RBSE, MSBSHSE) and Competitive Exam Like JEE (Main + Advanced), AIIMS, NEET, KVPY, NTSE, BITSAT, Olympiad, CLAT...etc.
For Any Query or Suggestion, Please Contact us on :
[email protected]

Connect us on Social Media