Question

surface area of cube is 1536 cmsq. find its volume

Answer 1

check the attachment

Answer 2

Answer: 4096cm³

Step-by-step explanation:

  Surface area ( TSA ) = 1536 cm²

  Formula of Surface area: TSA = 6a²        

  Putting the value of the given surface area in the formula,

                 ⇒ 1536 = 6a²

                 ⇒ 1536 ÷ 6 = a²

                 ⇒256 = a²            

                 ⇒√256 = a

          ∴       a = 16                (16×16=256)

          ∴ Side of the cube is 16cm.

      Volume of cube =a³

                                  = (16)³

                                  = 4096 cm³

      HOPE IT WILL HELP YOU......