Darryl has a shipping box with dimensions 16 in. By 16 in. By 16 in. He needs a cube whose volume is three times bigger, to hold all his stuff. What will be the new dimensions rounded to the hundredths?

23.08 in

Step-by-step explanation:

Volume of the shipping box = length × width × height

= 16 × 16 × 16

= 4,096 in³

He needs a cube whose volume is three times bigger

New volume of cube = 3 × 4,096 in

= 12,288 in

New volume of cube = 12,288 in³

New dimensions:

Volume of cube = s³

12,288 in³ = s³

s = 3√12,288

s = 23.0759931249 in

To the nearest hundredth = 23.08 in