Block diagonal

Calculate the length of the body diagonal of a block whose two edges are 2 cm and 7 cm long and whose volume is equal to 49 cubic centimeters.

Final Answer:

u =  8.0777 cm

Step-by-step explanation:

$$\begin{gathered} a=2 \\ b=7 \\ V=49 \\ c=V/(a\cdot b)=49/(2\cdot 7)=\frac{7}{2}=3.5 \\ u=\sqrt{a^2+b^2+c^2}=\sqrt{2^2+7^2+3.5^2}=8.0777\text{cm} \end{gathered}$$

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