SOLUTION: A rectangular prism has a volume of 16 cm3 and a total surface area of 40 cm2. A similar prism has length 10 in., width 5 in., and height 5 in. What are the dimensions of the origi

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Question 1034302: A rectangular prism has a volume of 16 cm3 and a total surface area of 40 cm2. A similar prism has length 10 in., width 5 in., and height 5 in. What are the dimensions of the original prism? Enter your answers in the boxes.
Length: cm
Width: cm
Hight: cm

Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
The dimension are in the ratio 10:5:5 and the volume is 16
10x*5x*5x = 16
x^3 = 16/250
x = cubert(0.0640)= 0.4
The dimensions of the original prism are:
5*0.4 = 2 width
5*0.4 = 2 height
10*0.4 = 4 length

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