Question

find the volume of an cuboid whose surface area is 486square​

Answer 1

Step-by-step explanation:

It has 6 faces, So, each face has an area = 486/6 = 81 sq cm. Side of the cube =√81= 9 cm. Hence, volume of the cube = 9^3 = 729 cm^3.

Answer 2

Answer:

Step-by-step explanation:

We know that surface area of cube is 61²  .

It is given that the surface area of cube is 486 cm² ,therefore,  

486  = 61²

 ⇒1²  = $\frac{486}{6}$

⇒1²  = 81

⇒ 1 =  81

 ⇒ 1 = 9

Now, the volume of the cube is l³ , therefore, the volume with length 1=9 is:

V = 9³

 =729

Hence, the volume of the cube is 729 cm³

.