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A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below.A) 306 B) 768C) 1,008D) 2,016

A manufacturer uses a mold to make a part in the shape of a triangular prism. The-example-1

1 Answer

4 votes

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

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.

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