Answer:
Volume of replica = 625 cubic inches
Step-by-step explanation:
Height of the gold statue = 80 inches
Volume of the gold statue = 320 cubic inches
Height of the replica = 100 inches
Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]
= [tex]\frac{100}{80}[/tex]
= 1.25
Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]
Since, volume scale factor = (Dimensional scale factor)³
[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]
Volume of replica = (1.25)³ × Volume of original statue
= (1.25)³ × 320
= 625 cubic inches
