If the length of a box is reduced to one-third of its original value and the width and height are doubled, by what factor has the volume changed?

Respuesta :

The volume has changed by a factor of 4/3

What is Volume of a Box ?

The volume a box will be the product of its length, width and height. The S.I unit is cubic meter (m³)

If the length of a box is reduced to one-third of its original value and the width and height are doubled, by what factor has the volume changed?

Initial volume = LBH

  • The new length = L/3
  • The new width = 2B
  • The new height = 2H

The new volume = L/3 × 2B × 2H

The new volume = 4/3 × LBH

Therefore, the volume has changed by a factor of 4/3

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