Respuesta :

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]