Question

The+length+of+the+diagonal+of+a+cube+is+8+root+2.+Find+its+surface+area

Answer 1

Step-by-step explanation:

the diagnol=8√2

side=8. (remove the root)

the LSA of cube is 4a^2

64×4

256 cm square

TSA

6a square

6×64

384cm^2

Answer 2

Answer:

$256 \: cm {}^{2}$

Step-by-step explanation:

Q The length of the diagonal of a cube is 8 + √2 . Find its surface area

Answer -

The length of the diagonal of a cube = √3a

So,

√3a = 8√2

a = 8 (√2/√3)

Surface area of the cube = 6a²

$6 \times ( 8 \times \frac{ \sqrt{2} }{ \sqrt{3} } ) {}^{2} \\ \\ 6 \times 64 \times \frac{2}{3} \\ \\ 256 \: cm {}^{2}$