• Math

  Class-8 : Mensuration

  Posted by Rahul on June 23, 2023 at 6:03 pm

  There is a cube of volume 512 cubic cm. Find the area of its one face.

  Faraz replied 3 months, 1 week ago 2 Members · 1 Reply

  • Cube
  • mensuration
• 1 Reply

• 

  Faraz

  Member

  June 23, 2023 at 6:33 pm

  Helpful

  Up

  0

  Down

  Not Helpful

  ::

  Given that the volume of the cube is 512 cubic cm, we can start by finding the length of one side of the cube.

  The formula for the volume of a cube is:

  Volume = side^3

  Since the volume is given as 512 cubic cm, we can set up the equation:

  512 = side^3

  To solve for the side length, we can take the cube root of both sides:

  ∛512 = ∛(side^3)

  8 = side

  Now that we have determined that the side length of the cube is 8 cm, we can find the area of one face, which is the area of a square with side length 8 cm.

  The formula for the area of a square is:

  Area = side^2

  Plugging in the side length of 8 cm, we have:

  Area = 8^2 = 64 square cm

  Therefore, the area of one face of the cube is 64 square cm.

Log In to Reply