Answer:
[tex]9[/tex]
[tex]2[/tex]
[tex]9\dfrac{3}{4}\ \text{units}^3[/tex]
Step-by-step explanation:
l = Length of prism = 3 units
h = Height of prism = [tex]3\dfrac{1}{4}=\dfrac{13}{4}\ \text{units}[/tex]
w = Width of prism = 1 unit
Volume of a prism is given by
[tex]V=lwh\\\Rightarrow V=3\times 1\times \dfrac{13}{4}\\\Rightarrow V=9.75\ \text{units}^3=9\dfrac{3}{4}\ \text{units}^3[/tex]
The number of whole unit cubes that can fit inside the prism is [tex]9[/tex]
For quarter cubic units
[tex]\dfrac{9}{4}=2\dfrac{1}{4}[/tex]
The number of quarter cubic units that can fit inside the prism is [tex]2[/tex]
Total volume of the prism is [tex]9\dfrac{3}{4}\ \text{units}^3[/tex].
