A shipping container and some boxes are shown. ![](http://admin.getprephub.com/media/editor/f18_20230323221134150173.png) Zante fills the shipping container with boxes in the shape of cubes that each have an edge length of $$\frac{1}{4}$$ yard. How many boxes does Zante need to fill the container?

Length of the container $$=6$$ yards Breadth of the container $$=2 \frac{1}{2}$$ yards Height of the container $$=2 \frac{1}{2}$$ yards Volume of the container $$=6 \times 2 \frac{1}{2} \times 2 \frac{1}{2}=6 \times \frac{5}{2} \times \frac{5}{2}=\frac{75}{2}$$ cubic yards Edge of each small cube $$=\frac{1}{4}$$ yard Volume of one small cube $$=\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4}=\frac{1}{64}$$ cubic yards Total number of boxes $$=\frac{75}{2} \div \frac{1}{64}=\frac{75 \times 64}{2}=2400$$

Prephub

A shipping container and some boxes are shown.

Zante fills the shipping container with boxes in the shape of cubes that each have an edge length of $\frac{1}{4}$ yard. How many boxes does Zante need to fill the container?

2400

4800

1200

2599

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