How many 1/3 cm cubes does it take to fill the prism?

Volume of the prism: V = lwh

You're given length, width, and height of the prism, so:
V = (5/3) * (4/3) * (2)
V = 40/9 cm³

Now, you need to find the volume of each cube that'll be filling the prism. Since it's a cube, the length, width, and height are the same. 

Therefore the volume is simply:
V = (1/3)³
V = 1/27cm³

To find how many cubes will fill the prism now, divide (40/9) by (1/27).

This results in 120 cubes being able to fill the prism.

First you need to find the volume of the prism. To find the volume, you need to use the formula which is length times width times height. So 5/3 times 4/3 is 20/3.

Now, to do 2 times 20/3 you need to do fraction x fraction. So, the number 2 is 2/1. So, now you do 20/3 times 2/1. You get 40/3. You have a improper fraction. 40 divided by 3 is 13 Remainder 1. So you now know that the volume is 13 and 1/3

Back to the question, it wants to know how many 1/3 cm cubes can fit into the prism. Now that is possible to know. You have to do the volume divided by 1/3. So, 40/3 divided by 1/3 is 120/3 because you invert the second fraction and the division sigh turns to a multiplication sigh. So, 40 times 3 is 120. 3 times 1 is 3. So it is 120/3. If you turn it into a mixed number you get 40. So, it takes 40 1/3 cm cube to fill up the prism.

Sorry this took so long the process takes time. This took me a while so marking it as brainliest will be an honor.

Hope this helps!!

=)

1/3

Step-by-step explanation:

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