Answer:
Volume of the rectangular prism will be [tex]23.625cm^3[/tex]
Step-by-step explanation:
We have given that length of the prism [tex]length=3\frac{1}{2}width=\frac{7}{2}width[/tex]
Height [tex]=\frac{1}{4}width[/tex]
We have given width = 3 cm
So length = [tex]\frac{7}{2}\times 3=\frac{21}{2}=10.5cm[/tex]
Height h = [tex]\frac{1}{4}\times 3=\frac{3}{4}=0.75cm[/tex]
We know that volume of rectangular prism is given by
[tex]V=length\times width\times height=10.5\times 3\times 0.75=23.625cm^3[/tex]