june 2007 math b problem

[anumj_420]

hi honestly speaking i have no idea how to even start this problem but i know that a cube is to the 3rd power here is the problem
Denis is designing a storage box in the shape of a cube.Each side of the box has a length of 10 inches. she needs more room anddecides to constructa largerbox in the shape of a cube with a volume of 2,000 cubic inches. By how many inches to the nearest tenth should she increse the length of each side of the original box?

Need help

 

[arthur ohlsten]

for a cube the volume v equals the length l cubed
v=l^3
if V=1000 what is l?
1000=l^3
l=10 answer

if V=2000 what is l
3000=l^3
l=14.14 answer

difference=13 cm
Arthur

 

[mmm4444bot]

if V=2000 what is l
3000=l^3 Arthur meant to type 2000 = l^3

l=14.14 answer l = 12.5992

difference=13 cm 12.6 - 10 = 2.6 cm