Question

Find the volume of a solid cube whose total surface area is 486 sq m.​

Answer 1

Answer:

Step-by-step explanation:

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

.

Answer 2

Answer:

729 m^3

Step-by-step explanation:

total surface area of cube = 486 sq. m

TSA of cube = 6a^2

486/6 = a^2

9 = a

volume = a^3

= 9*9*9

=729 m^3