Question

ryan packs airtight rectangular shipping containers with 1/2 inch sugar cubes. the containers are 3 inches tall, 4 1/2 inches wide, and 2 1/2 inches deep. how many 1/2 inch sugar cubes does it take to fill the container

Answer 1

Ryan's contaier can pack 135 square sugar cubes of 0.5 inch egde.

what amount of matter can fit into certain volume?

Any amount of space or volume can fit the certain number of objects so that their volume is equal. To find the number of cubes that can fit into the ryan's container. we first calculate the volume of the container and the sugar cube. Then we divide the volume of conatiner by volume of sugar cube i.e, take the ratio of their volumes.

volume of container=3×4.5×2.5

volume of conatainer=33.75

volume of sugar cube=0.5×0.5

volume of sugar cube=0.25

the number of sugar cubes that container can it is $\frac{volume of the container}{volume of the sugar cube}$

33.75/0.25=135

the container can fit 135 sugar cubes in it.

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