A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 1/2 cm. The prism is filled with cubes that have edge lengths of 12 cm. How many cubes are needed to fill the rectangular prism? Enter your answer in the box.

560 cubes

first solve the volume of the rectangular prism

V = l x w x h

where l is the length

w is the width

h is the height

V = 7 x 4 x 2.5

v = 70 cu cm

then solve the volume of the box

v = e^3

v = 0.5^3

v = 0.125

number of cubes = 70 / 0.125

number of cubes = 560 cubes

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