Answer:
300 unit cubes
Step-by-step explanation:
Calculate how many [tex]\frac{1}{8}[/tex]-unit cubes will fit along each side:
Length: [tex]1\dfrac{1}{4}\div \dfrac{1}{8}=\dfrac{5}{4}\times \dfrac{8}{1}=5\times 2=10[/tex] cubes
Width: [tex]\dfrac{5}{8}\div \dfrac{1}{8}=\dfrac{5}{8}\times \dfrac{8}{1}=5[/tex] cubes
Height: [tex]\dfrac{3}{4}\div \dfrac{1}{8}=\dfrac{3}{4}\times \dfrac{8}{1}=3\times 2=6[/tex] cubes
Hence, to pack the prism with cubes is required
[tex]10\times 5\times 6=300[/tex] unit cubes.
