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

wich estimate is closest to the volume in cubic millimeters of the part

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

Question

A manufacturer uses a mold to make a part in the shape of a triangular prism. the demensions of this part are shown below.

wich estimate is closest to the volume in cubic millimeters of the part

A. 306
B. 768
C. 1,008
D. 2,016

hotpinkgirl · Answer

attachment

hotpinkgirl · Answer

@Data_LG2 @sleepyjess

anonymous · Answer

do you know the formula for the volume of triangular prism?

hotpinkgirl · Answer

$$\sqrt{ 4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4}$$

hotpinkgirl · Answer

it has a 1/4 h before all that

hotpinkgirl · Answer

@Data_LG2

anonymous · Answer

$\sf \Large \frac{1}{4}h \sqrt{ -a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}$

hotpinkgirl · Answer

how do you figure that out? @Data_LG2

radar · Answer

First calculate the area of the triangle.  Use the A= (1/2)bh formula 
The base is 12.3 mm and the height is 8.2 mm, since this is an estimation estimate 1/2 of 8.2 or 4.1 and then estimate the 4.1 times 12.3  
Now to get volume take your estimated area and multiply (estimating) that times the length of 20.5.   I estimate approx 1000 cubic mm.

hotpinkgirl · Answer

thanks