Answer:
C) 1,008
Step-by-step explanation:
To determine the estimate that is closest to the volume of the part, find the volume of the triangular prism.
![\text{Volume of the prism=Base Area}* Length](https://img.qammunity.org/2023/formulas/mathematics/college/vmbu6l7p7pfsyon4mn2lsgkvilb77ap2sy.png)
The base of the prism is a triangle with:
• Base = 12.3 mm
,
• Height = 8.2 mm
Length of the prism = 20.5 mm
Therefore:
![\begin{gathered} \text{Volume}=(1)/(2)bh* l \\ =(1)/(2)*12.3*8.2*20.5 \\ \approx(1)/(2)*12*8*21 \\ =1008\operatorname{mm}^3 \end{gathered}]()
The estimate that is closest to the volume of the part is 1,008 mm³.