# A box

A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall what is the diagonal S of the bottom side? What is the length of the body diagnol R?

Result

S =  15.524 cm
R =  15.811 cm

#### Solution:

$a=15 \ \text{cm} \ \\ b=4 \ \text{m} \ \\ c=3 \ \text{cm} \ \\ \ \\ S=\sqrt{ a^2+b^2 }=\sqrt{ 15^2+4^2 } \doteq \sqrt{ 241 } \doteq 15.5242 \doteq 15.524 \ \text{cm}$
$R=\sqrt{ S^2+c^2 }=\sqrt{ 15.5242^2+3^2 } \doteq 15.8112 \doteq 15.811 \ \text{cm}$

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