SOLUTION: A rectangular solid block of aluminum has dimensions 2 cm by 2 cm by 16 cm. if the aluminum is melted down and recast as a cube, what is the difference(in square units) in the sur

Algebra ->  Volume -> SOLUTION: A rectangular solid block of aluminum has dimensions 2 cm by 2 cm by 16 cm. if the aluminum is melted down and recast as a cube, what is the difference(in square units) in the sur      Log On


   

Question 1042778: A rectangular solid block of aluminum has dimensions 2 cm by 2 cm by 16 cm. if the aluminum is melted down and recast as a cube, what is the difference(in square units) in the surface area between the rectangular solid and the cube?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The rectangle surface area, 2%282%2A2%2B2%2A16%2B2%2A16%29=2%284%2B32%2B32%29=2%2A68=136%2Asquarecentimeters

The volume of the rectangular aluminum block, 64%2Acubiccentimeters.

MAKING INTO A CUBE BLOCK
side length, root%283%2C64%29=root%283%2C2%2A2%2A2%2A2%2A2%2A2%29=root%283%2C4%5E3%29=4

The surface area of this cube, 6%282%2A2%29=24%2Asquarecentimeters.

Question asks for the difference between 136 and 24.