24 cubes can filled up the prism
Solution:
The image of the question is attached below.
Given data:
Length of the prism = 2 cm
Breadth of the prism = 1 cm
Height of the prism = [tex]$\frac{3}{2}[/tex] cm
Volume of the prism = length × breadth × height
[tex]$=2\times 1\times \frac{3}{2}[/tex]
[tex]=3[/tex] cubic cm
Volume of the prism = 3 cubic cm
Side length of the cube = [tex]$\frac{1}{2}[/tex] cm
Volume of the cube = side × side × side
[tex]$=\left(\frac{1}{2}\right)^{3}[/tex]
[tex]$=\frac{1}{8}[/tex] cubic cm
Volume of the cube = [tex]\frac{1}{8}[/tex] cm
[tex]$\text{Number of cubes} =\frac{\text{Volume of the prism}}{\text{Volume of the cube}}[/tex]
[tex]$=\frac{3}{\frac{1}{8} }[/tex]
[tex]=3\times8[/tex]
[tex]=24[/tex]
Number of cubes = 24
Hence 24 cubes can filled up the prism.
