SOLUTION: Three metallic cubes of side 3cm, 4cm and 5cm respectively are melted and are recast into a single cube. find the total surface area of the new cube.

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Question 954415: Three metallic cubes of side 3cm, 4cm and 5cm respectively are melted and are recast into a single cube. find the total surface area of the new cube.
Found 2 solutions by Fombitz, macston:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of metal is,
V=3%5E3%2B4%5E3%2B5%5E3
V=27%2B64%2B125
V=216
s%5Bn%5D%5E3=216
s%5Bn%5D=6
So the cube has a side length of 6 cm.
The surface area of the cube is,
SA=6s%5E2
SA=6%286%29%5E2
SA=216cm%5E2

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Cube(1)=3cm; Cube(2)=4cm; Cube(3)=5cm; SA=surface area
Volume%281%29=3%5E3cm%5E3=27cm%5E3
Volume%282%29=4%5E3cm%5E3=64cm%5E3
Volume%283%29=5%5E3cm%5E3=125cm%5E3
Volume%28new%29=27cm%5E3%2B64cm%5E3%2B125cm%5E3=216cm%5E3
side%28new%29=∛216cm%5E3=6cm
SA=6s%5E2=6%286%5E2cm%5E2%29=6%2836cm%5E2%29=216cm%5E2
ANSWER: Surface area of the new cube is 216 square centimeters.