SOLUTION: PLEASE HELP. A CUBE OF ICE 3 FT BY 3 FT BY 3 FT. THE ICE MELTS UNTIL IT BECOMES A CUBE WHICH IS ONE HALF AS HEAVY AS THE ORIGINAL. FIND THE DIMENSION OF A NEW CUBE (DENSITY OF ICE=

Question 868882: PLEASE HELP. A CUBE OF ICE 3 FT BY 3 FT BY 3 FT. THE ICE MELTS UNTIL IT BECOMES A CUBE WHICH IS ONE HALF AS HEAVY AS THE ORIGINAL. FIND THE DIMENSION OF A NEW CUBE (DENSITY OF ICE=62LB/CUB.FT. THANK YOU
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
volume of cube = 3 * 3 * 3 = 27 cubic feet
ice weighs 57.4 pounds per cubic foot, therefore
our cube of ice weighs 57.4 * 27 = 1549.8 pounds
now 1/2 of that is 1549.8 / 2 = 774.9 pounds
x^3 * 57.4 = 774.9
x^3 = 774.9 / 57.4 = 13.5
x = 13.5 ^ (1/3) = 2.38 feet

RELATED QUESTIONS
Please help me. A CUBE OF ICE 3FT BY 3FT BY 3FT. THE ICE MELTS UNTIL IT BECOMES A CUBE... (answered by mananth)

If two pieces of ice have the same volume, the one with the greater surface area will... (answered by Alan3354)

An ice "cube" is in the shape of a rectangular prism. As the ice"cube" melts the... (answered by Alan3354)

iceman has enclosed one of his mortal enemies in a cube of ice. it is melting uniformly... (answered by KMST)

A Modern Design magazine is having a contest to design the best ice cube in one of three... (answered by Theo)

Larry's ice cream is installing a giant ice cone above the shop. The plans for the ice... (answered by Theo)

If I pour the water from a full 3x3x3 ft cube into a cube that is 4 ft wide, 3 ft long... (answered by macston)

A piece of ice is 3' * 10.5" * 10.5". Specific gravity of ice is .92. ---------- SG... (answered by ikleyn,Alan3354)

A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold... (answered by Alan3354,ikleyn,josgarithmetic)