Question

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

Answer 1

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:

$V = lwh$

For the dice, all dimensions are of $0.5$, hence:

$V_d = 0.5^3 = 0.125$

For the box, the dimensions are $8, 5$ and $12$, hence:

$V_b = 8(5)(12) = 480$

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

$\frac{480}{0.125} = 3840$

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 2

Answer:

C

Step-by-step explanation:

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