A parallelepiped is formed by planes drawn through the point P \left(\right. 6 , 8 , 10 \left.\right) and Q \left(\right. 3 , 4 , 8 \left.\right) parallel to the coordinate planes. Find the length of edges and edges and diagonals of the parallelepiped.

Engineering

Mathematics

Line of Greatest Slope

Question

A parallelepiped is formed by planes drawn through the point

P (6, 8, 10)

and

Q (3, 4, 8)

parallel to the coordinate planes. Find the length of edges and edges and diagonals of the parallelepiped.

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[A]

P = (6, 8, 10)

Q = (3, 4, 8)

P_{1}

=X=6

P_{1}^{1}

X = 3

P_{2}

=Y=8

P_{2}^{1}

Y = 4

P_{3}

=Z=10

P_{3}^{1}

Z = 8

SO,

l = 6 - 3 = 3

b = 8 - 4 = 4

h = 10 - 8 = 2

diagonal =

\sqrt{l^{2} + b^{2} + h^{2}}

\sqrt{3^{2} + 4^{2} + 2^{2}}

\sqrt{9 + 16 + 4}

\sqrt{29}

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