Cuboid walls

If the areas of three adjacent faces of a cuboid are 8 cm², 18 cm² and 25 cm². Find the volume of the cuboid.

Correct answer:

V =  60 cm³

Step-by-step explanation:

$$\begin{gathered} ab=8{\text{cm}}^2 \\ bc=18{\text{cm}}^2 \\ ca=25{\text{cm}}^2 \\ V=abc \\ ab\cdot bc\cdot ca=a^2\cdot b^2\cdot c^2=(abc{)}^2=V^2 \\ V=\sqrt{8\cdot 18\cdot 25}=60{\text{cm}}^3 \end{gathered}$$

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