9514 1404 393
Answer:
224 cubes
Explanation:
In terms of 1/4 cm cubes, the dimensions of the prism are ...
(2 cm)/(1/4 cm/cube) = 8 cubes long
(7/4 cm)/(1/4 cm/cube) = 7 cubes wide
(1 cm)/(1/4 cm/cube) = 4 cubes high
The volume in 1/4-cm cubes is ...
V = LWH = (8)(7)(4) = 224 . . . cubes
224 cubes are required to fill the volume.