Question

The length of the diagonalof a cube is 8 root 2 find its surface area .f

Answer 1

Step-by-step explanation:

lenth of diagonal = 8√2

here diagonal is hypotenuse of right triangle

therefore (8√2)^2 = a^2 + a^2

(8√2)^2 =2 a^2

64×2=2a^2

128/2=a^2

64=a^2

√64=a

a=8

surface area of cube = 6a^2

6×8×8 = 366