Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth. ____ in

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To find the length \( d \) given the dimensions \( l = 30 \) in, \( w = 20 \) in, \( h = 18 \) in, and \( x = 36.1 \) in, we can use the 3D distance formula if \( d \) represents the distance from a point in 3D space.

Assuming \( d \) is the space diagonal of a rectangular box defined by the dimensions \( l, w, h \), the formula for the space diagonal \( d \) is given by:

\[ d = \sqrt{l^2 + w^2 + h^2} \]

Substituting the provided values:

\[ d = \sqrt{30^2 + 20^2 + 18^2} \]

Calculating each term:

\[ 30^2 = 900 \] \[ 20^2 = 400 \] \[ 18^2 = 324 \]

Now adding these values together:

\[ d = \sqrt{900 + 400 + 324} = \sqrt{1624} \]

Finally, calculating the square root:

\[ d \approx 40.3 \text{ in} \]

Therefore, the length of \( d \) rounded to the nearest tenth is:

\[ \boxed{40.3} \text{ in} \]

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