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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 ?

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 ?
asked 14.8k views
1 vote
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 ?

asked
User Smftr
by
8.0k points

2 Answers

0 votes

Explanation:

  • V = l•w•h = 3•9•27 = 729cm³
  • V = a³ <=> a³ = 729
  • a = 9cm
answered
User Alexander Taborda
by
8.7k points
1 vote

Answer:

  • 9 cm

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
answered
User Nick Manning
by
8.3k points
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