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IrinaVladis [17]
4 years ago
8

A Rectangular prisim is completely packed with 200 cubes of edge length 1/5in without any gap or overlap. Which of these best de

scribes the volume of this rectangular prism?
Mathematics
1 answer:
padilas [110]4 years ago
5 0
The answer is D. The volume of the rectangle = 180 x 1/3 x 1/3 x 1/3 = 180/27=6 + 18/27. 

<span>Unit cube = 1 x 1 x 1</span>
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Hi there!


To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)


Let us solve your equation step-by-step.


Step 1) Simplify both sides of the equation.


To simplify this, we will...


4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)


4 + - 2x + - 14 = 3x + 15


(-2x) + (4 + - 14) = 3x + 15


Now, we combine Like Terms...


-2x + - 10 = 3x + 15


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Fwew! That was probably going to be the longest step here!


Step 2) Subtract 3x from both sides.


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Step 3) Add 10 to both sides.


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Step 4) Divide both sides by -5.


-5x/-5 = 25/-5


So, our final answer is x = -5.


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

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