Answer:
1
Step-by-step explanation:
Equations to remember:
Length · Width · Height = Volume
LWH = V
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Length = 5/4
Width = 4/3
Height = 3/5
Your equation will look something like this:
[tex]\frac{5}{4} * \frac{4}{3} * \frac{3}{5} = V[/tex]
or
[tex]\frac{5*4*3}{4*3*5} = V[/tex]
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The simple thing about this problem is that, no matter what order they're in, you're multiplying the same numbers on the top and the bottom. Whatever the top is (5*4*3), the bottom will be (4*3*5). If the top and bottom are equal, that means that you'll have a whole number of 1.
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NOMINATORS
[tex]5 * 4 = 20\\20 * 3 = 60[/tex]
So the top will be 60.
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DENOMINATORS
[tex]4 * 3 = 12\\12 * 5 = 60[/tex]
The bottom will also be 60.
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[tex]\frac{60}{60} = \frac{1}{1} = 1[/tex]
So your answer will be [tex]1cm^{3}[/tex]!
I hope this helped!
