Concrete block

Determine the volume of the concrete block whose one edge of the base is 3 meters long, the body diagonal is 13 meters, and the height is 12 meters.

Correct answer:

V =  144 m³

Step-by-step explanation:

$$\begin{gathered} a=3 \\ t=13 \\ c=12 \\ s=\sqrt{t^2-c^2}=\sqrt{13^2-12^2}=5 \\ b=\sqrt{s^2-a^2}=\sqrt{5^2-3^2}=4 \\ V=a\cdot b\cdot c=3\cdot 4\cdot 12=144{\text{m}}^3 \end{gathered}$$

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