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A rectangular prism measures 3 cm by 9 cm by 27 cm . What is the length in centimeters of a cube with the same volume ?

Sagot :

Answer:

  • 9 cm

Step-by-step explanation:

Volume of the prism:

  • V = lwh = 3*9*27 = 729 cm³

Volume of the cube:

  • V = a³ = 729 cm³

Side of the cube:

  • a = ∛729 = ∛9³ = 9 cm

Step-by-step explanation:

  • V = l•w•h = 3•9•27 = 729cm³
  • V = a³ <=> a³ = 729
  • a = 9cm
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