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The box shown is used to ship miniature dice with side lengths of

1/2

in. ×

1/2

in. ×

1/2

in. How many dice cubes can fit in the box?

A) 480 dice

B) 1920 dice

C) 3840 dice

Eliminate

D) 7680 dice

The box shown is used to ship miniature dice with side lengths of 12 in 12 in 12 in How many dice cubes can fit in the boxA 480 dice B 1920 dice C 3840 dice El class=

Respuesta :

Using the volume of a rectangular prism, it is found that the number of cubes that can fit in a box is:

  • C) 3840 dice

Volume of a rectangular prism:

The volume of a rectangular prism of length l, width w and height h is given by:

[tex]V = lwh[/tex]

For the dice, all dimensions are of [tex]0.5[/tex], hence:

[tex]V_d = 0.5^3 = 0.125[/tex]

For the box, the dimensions are [tex]8, 5[/tex] and [tex]12[/tex], hence:

[tex]V_b = 8(5)(12) = 480[/tex]

Applying the division of the volumes, we find how many dice can be put in the box:

[tex]\frac{480}{0.125} = 3840[/tex]

Hence option C is correct.

To learn more about the volume of a rectangular prism, you can take a look at  https://brainly.com/question/17223528

Answer:

C

Step-by-step explanation:

I just did t on USA Test Prep

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