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What would be the volume of this solid if the height were halved and the other dimensions were reduced proportionally? Round to the nearest whole number.
The image?is of a?parallelogram prism standing on its face and making an angle of 60 degrees with horizontal. The dimension of prism is 3 cm by 4cm by 10 cm.

 May 15, 2020
 #1
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I'll leave you to do the number crunching.

 May 15, 2020
 #2
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This is the first time that you've made a mistake!!!

 

The height for the original part is  10 cm

 

Never mind that the solid is standing at the angle of 60 degrees.

 

If you cut the bottom of the solid at the angle of 30 degrees, and put that part on the top of the solid, 

 

the height is going to be exactly 10 cm.

 

So, we have...      V = (10 * 4 * 3) / 8 

                      or     V = 5 * 2 * 1.5  

wink

Guest May 15, 2020
 #3
avatar+29978 
+1

Imagine the angle was 89° (or even 90°). Do you think the volume would still be the same?

 

(Incidentally, I make mistakes all the time!  That's why it's incumbent on all posters to check the answers themselves.)

Alan  May 15, 2020
 #4
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I think I made a huge mistake. I've just realized that the dimension 4 is given at a certain angle. cheeky

 

corrections:        V = 5 * 1.5 * sqrt(3)               V = [10 * 3 * 2sqrt(3)] / 8  indecision

 

I apologize, Alan!!!  Your answer is, of course, correct!!! smiley

Dragan  May 15, 2020
edited by Dragan  May 15, 2020
 #5
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No problem!

Alan  May 15, 2020

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