Question

15 POINT
A straw is placed inside a rectangular box that is 5 inches by 8 inches by 3 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

Answer 1

The length of the straw will be 9.89949 inches long in radical form.

What is Length of diagonal in cuboid?

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula

$X^2=l^2+b^2+h^2$

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 5 inch , b= 8 inch , h= 3 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

$X^2+l^2+b^2+h^2$

$X^2=5^2+8^2+3^2$

$X^2=25+64+9$

$X^2=98$

$X=\sqrt{98}$

X= 9.89949 (in radical form)

Hence, the length of the straw will be  9.89949 inches.

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