Question

the volume of cube is 512cm3 what will be the volume of another cube whose sides are double the side of this cube

Answer 1

Answer:

4096 cm3

Step-by-step explanation:

volume = 512cm3

volume of cube = s3

s3 = 512

s= 8cm

side of another cube is double of this cube

s= 16cm

volume of cube is s3

16^3 = 4096cm3

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Answer 2

Answer:

$\bigstar{\bold{Volume\:of\:the\:new\:cube=4096\:cm^{3} }}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Volume of a cube = 512 cm³
• Side of new cube = Double the side of original cube

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Volume of the new cube

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ Here we are given the volume of the original cube as 512 cm³.

→ The volume of a cube is given by the formula,

  Volume of a cube = a³

  where a is a side of the cube

→ Here we have to find the side of the original cube.

→ Substituting the datas i the abpve equation,

  512  = a³

  a = ∛512

  a = 8 cm

→ Hence the side of the original cube is 8 cm

→ Now given that the side of the new cube is double the side of the original one.

→ Hence,

  Side of new cube = 2a

  Side of new cube = 2 × 8

  Side of new cube = 16 cm

→ Now finding the volume of the new cube,

  Volume of new cube = 16³

  Volume of the new cube = 4096 cm³

→ Hence volume of the new cube is 4096 cm³

$\boxed{\bold{Volume\:of\:the\:new\:cube=4096\:cm^{3} }}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ Total surface area of a cube is given by

   TSA of a cube = 6a²

→ Curved surface area of a cube is given by,

   CSA of a cube = 4a²

→ Volume of a cube is given by,

   Volume of a cube = a³