SOLUTION: The dimensions of a rectangular metal box are 3 cm, 5 cm, and 8 cm. if the first two dimensions are increased by the same number of centimeters, while the third dimension remains t

Algebra ->  Rectangles -> SOLUTION: The dimensions of a rectangular metal box are 3 cm, 5 cm, and 8 cm. if the first two dimensions are increased by the same number of centimeters, while the third dimension remains t      Log On


   

Question 1054483: The dimensions of a rectangular metal box are 3 cm, 5 cm, and 8 cm. if the first two dimensions are increased by the same number of centimeters, while the third dimension remains the same, the new volume is 34 cmcube more than the original volume. what is the new dimension of the enlarged rectangular metal box?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Original Box:
3, 5, 8
volume, 3%2A5%2A8

New Box:
(3+x), (5+x), 8
NewVolume, %28x%2B3%29%28x%2B5%29%2A8

New Box volume increase by 34 cubic cm's:
highlight_green%288%28x%2B3%29%28x%2B5%29-8%2A3%2A5=34%29
Can you do the rest from here?