Question

The diagonal of a cube is 9√ cm long. Its total surface area is​

Answer 1

Step-by-step explanation:

Lets consider the side is …s cm, the the surface area will be …

6 x (side)², since a cube has 6 identical sides and total surface area is 6 times the area of each Side.

Now if the diagonal is … 9√3 cm, then we get the Lateral Diagonal of the cube is …

√(side)² + (side)² or

Side√2 and the length of the Central Space Diagonal is …

√{(side)√2 + (side)²} and the value of this operation is given as 9√3 cm. Lets solve this…

√3.side² = 9√3 or

(Side)²= 9(dividing both sides by √3)

Side = √9 = 3 cms.

6 x side² = 6.3² or 6 x 3 x 3 =

54 cubic cms