SOLUTION: Each dege of one cube is 2 cm longer than each edge of another cube. The volumes of the cubes differ by 98 cm^3. Find the lenghts of the edges of each cube.

Question 198227: Each dege of one cube is 2 cm longer than each edge of another cube. The volumes of the cubes differ by 98 cm^3. Find the lenghts of the edges of each cube.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
(e+2)^3 = e^3 + 98

expanding ___ e^3 + 6e^2 + 12e + 8 = e^3 + 98

subtracting e^3 + 98 and dividing by 6 ___ e^2 + 2e - 15 = 0

factoring ___ (e + 5)(e - 3) = 0

-5 is not realistic, so e = 3

e + 2 = 5
RELATED QUESTIONS
each edge of a cube is 2 cm longer than each edge of another cube. the volumes of the... (answered by ankor@dixie-net.com)

The edge of one cube is 4 cm longer than the edge of a second cube. The volumes of the... (answered by Boreal)

The volumes of two cubes differ by 259 cu meters. If the edges of one cube are each 4... (answered by checkley77,ankor@dixie-net.com)

This word problem is kind of tough, I am trying to figure out how to do it so could you... (answered by AnlytcPhil)

a cube measures 7 cm on each edge. what is the surface area of the... (answered by caca,richwmiller)

The volume of a cube is 1000 cm cubed...find the length of each... (answered by mananth)

An ice cube holder contains 12 cubes of ice, each has an edge equals 4.5 cm. Find the... (answered by Cromlix)

If each edge of a cube is 5 cm, what is the volume of the... (answered by richard1234)

what is the volume of a cube if each edge is 3x cm in length? (answered by CharlesG2)