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jarptica [38.1K]
3 years ago
12

A rectangular prism with a volume of four cubic units is filled with cubes and side links of 1/3 unit. How many 1/3 unit cubes d

oes it take to fill the prism?
Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

Number of box that fills the prism=36.36 cubes

Step-by-step explanation:

Number of cubes that can fill the rectangular prism= Volume of the rectangular prism / Volume of the cube

Volume of the rectangular prism=4 units ^3

Side length of the cube=1/3 unit

Volume of the cube :

   Side*side*side\\\\=1/3*1/3*1/3\\\\=1/9

   =0.11units^3

Number of box that fills the prism= 4/0.11= 36.36 cubes

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<h3>Answer:</h3>

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_____

<em>Comment on nCk</em>

The number of ways to choose k objects from n, when order does not matter, is ...

... n!/(k!(n -k)!)

For the computations above, we have ...

... 8C2 = 8·7/(2·1) = 28

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