Block volume height

The block has a length of 12 cm and a width of 0.6 dm. The height is the same size as the edge of a cube whose volume is 64 cm³. Calculate the volume of the cuboid in cm³.

Final Answer:

V₂ =  288 cm³

Step-by-step explanation:

$$\begin{gathered} V_1=64{\text{cm}}^3 \\ a=12\text{cm} \\ b=0.6\text{dm}\to \text{cm}=0.6\cdot 10\text{cm}=6\text{cm} \\ {V}_1=c^3 \\ c=\sqrt[3]{V_1}=\sqrt[3]{64}=4\text{cm} \\ {V}_2=a\cdot b\cdot c=12\cdot 6\cdot 4=288{\text{cm}}^3 \end{gathered}$$

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