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The length of the longest rod which can be kept inside a rectangular box is 17 cm. If the inner length and

the breadth of the box are 12 cm and 8 cm respectively, find its inner height.

Answer:

Consider h m as the inner height

It is given that

Length of longest rod inside a rectangular box = 17 cm which is the same as the diagonal of a rectangular box

"hello and welcome idea students
i am rishabh karana the math you don't
know leader and i'm here
the new question it is the length of the
longest rod which can be kept inside the
rectangular boxes
17 centimeter if the inner length and
the breadth of the box are 12 centimeter
and eight individual respectively
find it in a height so without wasting
much time let's have a look at the
solution
so let's
edge be the inner height
and we have been given that length of
the longest rod
inside the rectangular boxes
is equals to 17 centimeter
which is nothing but the same as
the diagonal of the rectangular box
so now let's calculate the height and
for that
we'll use we'll write
17 is equals to root over
l square plus b square plus h square
which is nothing but the formula of the
formula to find the diagonal of the
rectangle
the rectangular box so we'll substitute
the values
we get 17 is equal to
the length is given as 12 so we'll write
12 square
plus 8 square plus
h square
solving it further we get seventeen
square
to l square plus eight square
plus h square so 289
minus 144 minus 64
is equals to h square
so 17 square is 289 12 square is 144 and
8 square is 64.
taking them taking the 12 square and the
8 square on the left hand side we get
289 minus 144 minus 64 which is nothing
but equals to
81.
that means that h is equals to root of
81
which means that as h is equals to 9
centimeter
that means the inner height of the
rectangular box is
9 centimeter so i hope
my students got this question well don't
forget to hit the subscribe button
you can also share your doubts in the
comment section see you next time bye"

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