SOLUTION: The volume of the smaller rectangular box is one-third the volume of the larger box. What is the value of X ?
The larger box has a volume of (x)*(x+2)*(x+1)
The smaller box is
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-> SOLUTION: The volume of the smaller rectangular box is one-third the volume of the larger box. What is the value of X ?
The larger box has a volume of (x)*(x+2)*(x+1)
The smaller box is
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Question 802981: The volume of the smaller rectangular box is one-third the volume of the larger box. What is the value of X ?
The larger box has a volume of (x)*(x+2)*(x+1)
The smaller box is just shown in a figure with its length,width and height labeled as "x". Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The volume of the smaller rectangular box is one-third the volume of the larger box. What is the value of X ?
The larger box has a volume of (x)*(x+2)*(x+1)
The smaller box is just shown in a figure with its length,width and height = x
then
x^3 = vol of the small box
:
x^3 = *x*(x+2)*(x+1)
get rid of the fraction multiply both sides by 3
3x^3 = x(x^2 + 3x + 2)
Divide both sides by x
3x^2 = x^2 + 3x + 2
Arrange as a quadratic equation on the left
3x^2 - x^2 - 3x - 2 = 0
2x^2 - 3x - 2 = 0
Factors to
(2x+1)(x-2) = 0
the positive solution is what we want here
x = 2
:
:
See if that works
2^3 = *2*4*3
8 = *24
