The number of 1/4-cubes that will fill the given prism in the image is: 224 cubes.
What is the Volume of a Prism and a Cube?
Volume of prism = length × width × height
Volume of cube = a³, where a is the side length of the cube.
Number of cubes that will fill the prism = volume of prism / volume of 1 cube
Volume of prism = 1 × 7/4 × 2 = 3.5 cm³
Volume of 1 cube = (1/4)³ = 0.015625 cm³
Number of cubes that will fill the prism = 3.5/0.015625 = 224 cubes.
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