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Largest diagonal of cuboid
Q. The length, breadth and height of a box are respectively 14 m, 12 m, 13 m. The length of the greatest rod that can be put in it is
a) 22.31 m
b) 22.56 m
c) 20 m
d) 19.5 m
Answer: b
Pythagoras works in 3 dimensions also (and you should sketch this out to convince yourself):
d2 = L2 + W2 + H2 where d is the largest diagonal, L is length, W is width, and H is height
all in common units.
So, d = √L2 + W2 + H2. ⇒ d = √ 142 + 122 + 132 ⇒ d = 22.56m.
a) 22.31 m
b) 22.56 m
c) 20 m
d) 19.5 m
Answer: b
Pythagoras works in 3 dimensions also (and you should sketch this out to convince yourself):
d2 = L2 + W2 + H2 where d is the largest diagonal, L is length, W is width, and H is height
all in common units.
So, d = √L2 + W2 + H2. ⇒ d = √ 142 + 122 + 132 ⇒ d = 22.56m.
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