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 diagonal R?

Correct answer:

S =  15.5242 cm
R =  15.8114 cm

Step-by-step explanation:

$$\begin{gathered} a=15\text{cm} \\ b=4\text{m} \\ c=3\text{cm} \\ S=\sqrt{a^2+b^2}=\sqrt{15^2+4^2}=\sqrt{241}=15.5242\text{cm} \end{gathered}$$

$R=\sqrt{S^2+c^2}=\sqrt{15.5242^2+3^2}=5\sqrt{10}=15.8114\text{cm}$

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