A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions are shown below

(An image of a triangular prism is shown. Its measurements are b1(base 1) = 20.5 mm, b2 = 12.3 mm, h = 8.2 mm, and the sides measure 10.25 mm for both)

Which estimate is the closest to the volume in cubic millimeters of the part?

A. 306**
B. 768
C. 1,008
D. 2,016

If someone could check my answer, that would be appreciated

yes u are correct. CHOICE A is the correct answer.

I got 392.82 for the volume.

Hope this helps you

My answer choices are

258
517
1,034
2,068

I have the same a bell

Same question but the answers are

65
125
249
446

I'll say the answers in a little bit

Shoot. I'm sorry guys I accidentally exited out of the page. All I know is as long as you use a calculator you can do this pretty easy.

hi

4kblue

A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions are shown below

(An image of a triangular prism is shown. Its measurements are b1(base 1) = 20.5 mm, b2 = 12.3 mm, h = 8.2 mm, and the sides measure 10.25 mm for both)

Which estimate is the closest to the volume in cubic millimeters of the part?

A. 306**
B. 768
C. 1,008
D. 2,016

As the triangular prism has a height of 8.2 mm and two congruent triangular bases with base lengths of 20.5 mm and 12.3 mm and side length 10.25 mm, the volume of the prism is given by:

V = (1/2)bh × h

where b = b1 + b2 + s = 20.5 + 12.3 + 10.25 = 42.05 mm, and h = 8.2 mm.

Thus, V = (1/2)(42.05 mm)(8.2 mm) = 171.823 mm³ ≈ 306 mm³.

Therefore, the closest estimate to the volume of the part in cubic millimeters is A. 306.