224 cubes. Are needed 224 cubes with side lenghts of 1/4 cm to fill the prism.
The key to solve this problem is calculate the volume of both the cube and the prism.
Vcube = l³
Vprism = l*w*h
Where l is lenght, w is width, and h is height.
Vcube = (1/4 cm)³ = 1/64 cm³
Vprism = (2 cm)(7/4 cm)(1 cm) = 7/2 cm³
Calculating how many cubes does it takes to fill the prism:
Cubes = Vprism/Vcube = (7/2 cm³)/(1/64 cm³) = 448/2 = 224
