SOLUTION: John has a box that is in the shape of a cube (i.e., all sides are the same length). The volume of the cube is 27 cubic inches. What is the distance around the perimeter of the bot

Algebra ->  Volume -> SOLUTION: John has a box that is in the shape of a cube (i.e., all sides are the same length). The volume of the cube is 27 cubic inches. What is the distance around the perimeter of the bot      Log On


   



Question 952797: John has a box that is in the shape of a cube (i.e., all sides are the same length). The volume of the cube is 27 cubic inches. What is the distance around the perimeter of the bottom of the box?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
volume=edge%5E3 find cube root of each side
∛ (volume)=edge
Perimeter=4(edge) Substitute for edge
Perimeter=4 ∛ (volume)
Perimeter=4 ∛ (27 cu in)
Perimeter=4(3 in)
Perimeter=12 in ANSWER: The perimeter of the base of the box is 12 inches.