SOLUTION: the width of a brick is half the length, and the length is 2 inches less than 4 times the height. if the sum of the three dimensions is 28.5 inches, find the volume of the brick.

Question 1009391: the width of a brick is half the length, and the length is 2 inches less than 4 times the height. if the sum of the three dimensions is 28.5 inches, find the volume of the brick.
Answer by shabanaanjum0729@gmail. com(1) (Show Source): You can put this solution on YOUR website!
Let height of the brick h=x inch
Then
length(l)=4x-2 inch
& width(b)=2x-1inch
Now sum the dimensions
i.e. l+b+h=28.5
4x-2+2x-1+x=28.5 [invoke liner "x"]
x= 4.5 inch or (x=4.5")
Using this value we get l=16" , b=8" , h= 4.5"
[A brick is in cuboid shape so we find the volume by using the formula of cuboid ]
Now the volume of brick =length�width�height unit cube
=16�8�4.5 inch cube
=576"cube
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