Respuesta :

9514 1404 393

Answer:

  224 cubes

Step-by-step 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.