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Where do you use square roots in your daily life?
If you are packing items into a box, you can use square roots along with Pythagorean theorem to help determine if a smaller box could work with items packed diagonally.
What is the diagonal of a 10 x 10 box?
A box is a 3-dimensional object and only two measures are given so it is not clear what the question means. Across the base of the box, the diagonal is 10*sqrt(2) = 14.142 approx.
A box is made in the shape of cube its dimension are of length 8cm what is the lenght oof longest pencil that would fit inside the box?
Use Pythagoras' theorem to find the length of the outer diagonal and then use this as the base for the inner diagonal (the longest length of the cube) 82+82 = 128 and the square root of this is 11.3137085 cm 11.31370852+82 = 192 and the square root of this is 13.85640646 cm The longest pencil is 13.85640646 or just under 14 cm
If a box has a height of 56 inches what would the length of the diagonal be?
Since the length and breadth are not given, the length of the diagonal can be anything from the smallest fraction to the largest number of units.
How long is the diagonal of the box whose length width and height are 50cm 50cm and 50cm respectively?
The long diagonal will be sqrt(7500) cm = 86.60 cm (to 2 dp)
