HELP? The two models shown have the same volume. Complete the equation and expression below about the volume of each figure.

Answer : The volume blue prism in Model 1 is, [tex]32in^3[/tex]
Step-by-step explanation :
As we are given that:
Volume of Model 1 = Volume of Model 2
Given:
Volume of blue prism in Model 2 = [tex]36in^3[/tex]
Volume of orange prism in Model 2 = [tex]12in^3[/tex]
Volume of orange prism in Model 1 = [tex]16in^3[/tex]
Now we have to calculate the total volume of Model 2.
Total volume of Model 2 = [tex]36in^3+12in^3[/tex] = [tex]48in^3[/tex]
Now we have to calculate the volume blue prism in Model 1.
Volume of Model 1 = Volume of Model 2
Volume of orange prism in Model 1 + Volume blue prism in Model 1 = Total volume of Model 2
[tex]16in^3[/tex] + Volume blue prism in Model 1 = [tex]48in^3[/tex]
Volume blue prism in Model 1 = [tex]48in^3-16in^3[/tex]
Volume blue prism in Model 1 = [tex]32in^3[/tex]
Thus, the volume blue prism in Model 1 is, [tex]32in^3[/tex]