SOLUTION: A rectangular prism has a base who’s length is twice it’s width. The height of the prism is 6in .Find the volume of the prism of the surface area is 208 cm.draw a picture and l

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Question 1155201: A rectangular prism has a base who’s length is twice it’s width. The height of the prism is 6in .Find the volume of the prism of the surface area is 208 cm.draw a picture and label the dimensions given to help set up your problem .
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
.
Rectangular Prism
h = 6in
l = 2x
w = x
Surface = 2lw + 2lh + 2wh
208 = 2*x*2x + 2*2x*6 + 2*x*6
208 = 4x^2 + 24z + 12x
52 = x^2 + 6x + 3x
x^2 + 9x -52 =0
(x-4)(x+13)=0 x = 4 disposing of negative solution
Volume = Length X Width X Height
V = 8*4*6 = 192in^3
Wish You the Best in your Studies.




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