Question

6. Find the volume of a cubical box whose surface area is 486 cm². ​

Answer 1

Answer:

We know that surface area of cube is 6l

2

.

It is given that the surface area of cube is 486 cm

2

, therefore,

486=6l

2

⇒l

2

=

6

486

⇒l

2

=81

⇒l=

81

⇒l=9

Now, the volume of the cube is l

3

, therefore, the volume with length l=9 is:

V=9

3

=729

Hence, the volume of the cube is 729 cm

3

.