Question

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

Answer 1

Answer:

C) 1,008

Explanation:

To determine the estimate that is closest to the volume of the part, find the volume of the triangular prism.

$\text{Volume of the prism=Base Area}\times Length$

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:

$\begin{gathered} \text{Volume}=\frac{1}{2}bh\times l \\ =\frac{1}{2}\times12.3\times8.2\times20.5 \\ \approx\frac{1}{2}\times12\times8\times21 \\ =1008\operatorname{mm}^3 \end{gathered}$

The estimate that is closest to the volume of the part is 1,008 mm³.