Answer:
Step-by-step explanation:
Given that the length of the prism is [tex]\frac{8}{3}[/tex] cm, and it is made up of eight [tex]\frac{1}{3}[/tex] cm cubes
The width is [tex]\frac{3}{3}[/tex] cm, so it is made up 3 rows of [tex]\frac{1}{3}[/tex] cm cubes
That means the bottom layer of cubes is made up of 3 rows of 8 cubes
[tex]3\times 8=24[/tex]
∴ the bottom layer is made of 24 cubes
The height is [tex]\frac{2}{3}[/tex] cm, so it is made up of 2 layers of [tex]\frac{1}{3}[/tex] cm cubes.
So there are 2 layers of 24 cubes
[tex]2\times 24=48[/tex]
∴ 48 cubes takes to fill the given prism.
