2 Answers

Ben Hayward · Answer 1 · 2020-02-25T10:32:20+0000

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$ It is the area of the base

h: It is the height

So:

$A_ {b} = 8 * 4 = 32 \ in ^ 2\\h = 214 \ in$

The volume of the prism is:

$V = 32 * 214 = 6848 \ in ^ 3$

Now, the volume of the cubes is:

$V = (14) ^ 3 = 2744 \ in ^ 3$

Thus, we divide and find the number of cubes to fill the prism:

$n = \frac {6848 \ in ^ 3} {2744 \ in ^ 3}\\n = 2.5$

ANswer:

n = 2.5

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