Respuesta :

36+12=48

48-16=32 

ive completed that lesson

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]

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