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.Com
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)   (Show Source): You can put this solution on YOUR website!
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.

RELATED QUESTIONS

John has a box that is in the shape of a cube (i.e., all sides are the same length). The... (answered by macston)
what is the volume of a 9.5 inche cube? (answered by JBarnum,fractalier)
A box in the shape of a cube has a volume of 64 cubic inches. what is the length of a... (answered by Alan3354)
Cube A has an edge length of 2 inches. Cube B has an edge length double that of Cube A.... (answered by drk)
cuba a has an edge length of 2 inches. cube b has an edge length double that of cube a.... (answered by KMST)
A cube has a volume of 64 cubic feet. The surface are of the cube is ? (answered by fcabanski)
What is the volume of a perfect cube that has sides 4.50cm in... (answered by mizjoice)
A cube-shaped planter has a volume of 27 cubic feet. What is the side length of the... (answered by stanbon)
A cube has a volume of 27 cubic feet. Suppose the dimensions are doubled. What is the... (answered by ewatrrr)