MHB What Is the Distance Between Lines HO and PB in a Cuboid?

  • Thread starter Thread starter Monoxdifly
  • Start date Start date
  • Tags Tags
    Parallelogram
Click For Summary
In the discussion about the distance between lines HO and PB in a cuboid, participants clarify that the correct figure is OBPH, not OBFPH. The original poster calculated the distance using the parallelogram formula and arrived at $$\frac{1}{5}\sqrt5$$. Another participant confirmed this answer and suggested that the question may have been misread. The conversation centers on verifying the calculations and ensuring the correct geometric figure is referenced. The focus remains on accurately determining the distance in the specified cuboid configuration.
Monoxdifly
MHB
Messages
288
Reaction score
0
In an ABCD.EFGH cuboid with AB = 4 cm, BC = 3 cm, and CG = 5 cm there is a parallelogram OBFPH with O is located at the center of ABCD and P is located at the center of EFGH. The distance between the lines HO and PB is ...
A. $$5\sqrt3$$ cm
B. $$5\sqrt2$$ cm
C. $$\sqrt5$$ cm
D. $$\frac{5}{2}\sqrt2$$ cm
E. $$\frac{5}{3}\sqrt3$$ cm

By making use of the parallelogram formula, I got $$\frac{1}{5}\sqrt5$$. Do you guys get the same answer as me or any of the options?
 
Mathematics news on Phys.org
Monoxdifly said:
In an ABCD.EFGH cuboid with AB = 4 cm, BC = 3 cm, and CG = 5 cm there is a parallelogram OBFPH with O is located at the center of ABCD and P is located at the center of EFGH. The distance between the lines HO and PB is ...
A. $$5\sqrt3$$ cm
B. $$5\sqrt2$$ cm
C. $$\sqrt5$$ cm
D. $$\frac{5}{2}\sqrt2$$ cm
E. $$\frac{5}{3}\sqrt3$$ cm

By making use of the parallelogram formula, I got $$\frac{1}{5}\sqrt5$$. Do you guys get the same answer as me or any of the options?
OBFPH is not a parallelogram. Did you mean OBPH? If so, then I agree with your answer $\frac15\sqrt5$. But maybe you misread the question?
 
Sorry, I meant OBPH.
 

Similar threads

MHB Calculating G's Distance from BH on an ABCD.EFGH Cube
  • · Replies 2 ·
Replies
2
Views
1K
MHB Finding the Distance from Point P to AC on an ABCD.EFGH Cube
  • · Replies 4 ·
Replies
4
Views
2K
MHB What is the Minimum Length of AP + PB?
  • · Replies 6 ·
Replies
6
Views
2K
MHB What is the maximum distance of P from point O during the motion?
  • · Replies 10 ·
Replies
10
Views
2K
MHB Algebra practice exam questions
  • · Replies 3 ·
Replies
3
Views
2K
Center of mass - cant find error in derivation
  • · Replies 13 ·
Replies
13
Views
3K
MHB What Determines the Locus of Midpoints Between Two Lines in Space?
  • · Replies 7 ·
Replies
7
Views
4K
Distance between two parallel lines
  • · Replies 2 ·
Replies
2
Views
2K
'Average Distance' Between Many Points
  • · Replies 9 ·
Replies
9
Views
14K
MHB Distance between two non parallel lines
  • · Replies 2 ·
Replies
2
Views
8K