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A rectangular prism has a length of 12 in., a width of 5 in., and a height of 4 1/4 in.


The prism is filled with cubes that have edge lengths of 1/4 in.


How many cubes are needed to fill the rectangular prism?


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To fill the rectangular prism, ? cubes are needed.

Verified Answer :

pbjgurl123

1. It
takes 8 x 4 x 15 cubes, or 480 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 480/64 = 7 ½ cubic inches or 2 x
1 x 3 ¾ = 7 ½ cubic inches.

2. It
takes 3 x 1 x 8 cubes, or 24 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 24/8 = 3 cubic inches or 1 ½ x ½
x 4 = 3 cubic inches.

3. It
takes 9 x 3 x 4 cubes, or 108 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 108/8 = 13 ½ cubic inches or 4 ½
x 1 1/2 x 2 = 13 1/2 cubic inches.

4. It
takes 3 x 2 x 8 cubes, or 48 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 48/64 = ¾ cubic inches or ¾ x ½
x 2 = ¾ cubic inches.

5. It
takes 5 x 7 x 8 cubes, or 280 cubes with side lengths of ½ inch. The
volume of the right rectnagular prism is 280/8 = 35 cubic inches or 2 ½ x
3 ½ x 4 = 35 cubic inches.


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