Question

A digonal of cube is 9cm√3 long. find its total surface area ??​

Answer 1

Answer:

above is the answer for question

Answer 2

Answer:

$\large\boxed{\sf{486\:{cm}^{2}}}$

Step-by-step explanation:

Length of diagonal of a cube = 9√3 cm

Let, the side of cube be 'a' cm

But, We know that,

Diagonal of a cube = √3a

=> √3a = 9√3

=> a = 9 cm

Now, to find total surface area,

We know that, T.S.A = $6{a}^{2}$

=> T.S.A = 6 × 9 × 9

=> T.S.A = 81 × 6

=> T.S.A = 486 $\bold{{cm}^{2}}$