Question

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 ?

Answer 1

Explanation:

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

Answer 2

• 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