Answer:
Option (4)
Step-by-step explanation:
Volume of a rectangular prism is given by the formula,
Volume = Length × Width × Height
From the picture attached,
Length of the prism = 5 cm
Width of the prism = [tex]3\frac{3}{4}[/tex] = [tex]\frac{15}{4}[/tex] cm
Height of the prism = [tex]8\frac{1}{2}[/tex] = [tex]\frac{17}{2}[/tex] cm
Volume of the given prism = [tex]\frac{5}{1}[/tex] × [tex]\frac{15}{4}[/tex] × [tex]\frac{17}{2}[/tex]
= [tex]\frac{5\times 15\times 17}{1\times 4\times 2}[/tex]
= [tex]\frac{1275}{8}[/tex]
= [tex]159\frac{3}{8}[/tex] cm³
Therefore, Option (4) is the correct option.
