Please show me how to do this problem, thanks.
2007-12-29 16:47:34 · 4 answers · asked by Yahoo! User 2 in Science & Mathematics ➔ Mathematics
the longest stick will fit the opposite diagonal
which ismeasure by
sqrt(3^2+3^2+3^2)=sqrtsqrt27=5.19
therefore a 5 ft stick will fit if it is fit diagonal across the opposite vertex
2007-12-29 16:51:55 · answer #1 · answered by someone else 7 · 4⤊ 1⤋
Longest stick getting into a cubical box of side 3 ft is 3â3 ft.
as 3â3 ft.= 5.1962 ft > 5 ft , the rod will fit loosely in the box.
2007-12-30 01:07:40 · answer #2 · answered by sv 7 · 2⤊ 2⤋
Base diagonal = x
x² = 3² + 3²
x² = 18
Space diagonal = d
d² = 18 + 3²
d² = 27
d = â27
5 < â27
Stick will fit.
2007-12-30 02:37:30 · answer #3 · answered by Como 7 · 2⤊ 1⤋
Yes.
The distance from one corner of this cube to the other is greater than 5 feet.
a^2 + b^2 + c^2 = d^d
Sq.Root(3^2 + 3^2 + 3^2) = Sq.Root(27) = 5.2 feet
or
a^2 + b^2 = c^2
Sq.Root(3^2 + (Sq.Root(2)*3)^2) = Sq.Root(27) = 5.2 feet
2007-12-30 00:53:03 · answer #4 · answered by michael_p87 2 · 2⤊ 2⤋