Question

The box shown is used to ship miniature dice with side lengths of 1/2in. × 1/2in. × 1/2in. How many dice cubes can fit in the box?A)480 diceB)1920 diceC)3840 diceEliminateD)7680 dice

Answer 1

The volume of the box is given as:

`V=lwh`

where l is the length, w is width and h is the height. Plugging the values given we have that:

`V=(10)(4)(6)=240`

Now the volume of the dices are given by:

`V=l^3`

plugging the length given we have:

`V=((1)/(2))^3=0.125`

Now to find out how many dices fit in the box we divide the volume of the box by the volume of the dice, then we have:

`(240)/(0.125)=1920`

Therefore we can fit 1920 dices in the box and the anwer is B.