SOLUTION: If a rectangular prisim has faces of 540 in,210in, and 126in, what is the volume of this box?

Question 1076236: If a rectangular prisim has faces of 540 in,210in, and 126in, what is the volume of this box?
Answer by ikleyn(52835) (Show Source): You can put this solution on YOUR website!
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If a rectangular prism has faces of 540 in, 210 in, and 126 in, what is the volume of this box?
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xy = 540,   (1)
yz = 210,   (2)
xz = 126.   (3)

Multiply the three equations (both sides). You will get

 = 540*210*126,   or

 = 14288400.


It implies 

xyz =  = 3780.  (4)


Now divide eq(4) by eq(1) (both sides). You will get

z =  = 7.


Next, divide eq(4) by eq(2) (both sides). You will get

x =  = 18.


Finally, divide eq(4) by eq(3) (both sides). You will get

y =  = 30.


Answer. The dimensions of the prism are 18, 30 and 7 inches.

Solved.

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