Question

a box with the same dimensions as the a prism in the opening exercise would be used to ship miniature dice whose side length have been cut in half. The dice are 1/2 inches x 1/2 inches x 1/2 inch cubes. how many dice of this size can fit in the box below ?

Answer 1

1920 dice

Step-by-step explanation:

First we need to find the volume of cuboid

Volume of the cuboid = 6in * 4in * 10in

Volume of the cuboid = 240in^3

Volume of the dice = 1/2 in * 1/2 in * 1/2 in

Volume of the dice = 1/8 in^3

Number of dice that can fit in the box = Volume of box/Volume of dice

Number of dice that can fit in the box = 240/(1/8)

Number of dice that can fit in the box = 240 * 8

Number of dice that can fit in the box = 1920 dice

hence 1920 dice can fit into the box