A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below. Which estimate is closest to the volume in cubic millimeters of the part?

306
768
1008
2016

Option B:

1008 is the closest estimate of the volume in cubic millimeter.

Solution:

Base of the triangle (b) = 12.3 mm

Height of the triangle (h) = 8.2 mm

Length of the prism (l) = 20.5 mm

To find the volume of the triangular prism:

Volume of the triangular prism formula:

Substitute the given values in the formula.

Volume of the prism =

                                   = 1033.815

Volume of the prism = 1033.815 cubic mm

To find the closest estimate:

In the given options the closes volume is 1008 cubic mm.

Option C is the correct answer.

Hence 1008 is the closest estimate of the volume in cubic millimeter.