Cuboid height volume

A cube has an edge of 30 cm. The cuboid has dimensions of the lower base, 45 cm, and 10 cm.
What is the height of a cuboid if it has the same volume as a cube?

Final Answer:

c =  60 cm

Step-by-step explanation:

$$\begin{gathered} a=45\text{cm} \\ b=10\text{cm} \\ x=30\text{cm} \\ V=x^3=30^3=27000{\text{cm}}^3 \\ V=abc \\ c=\frac{V}{a\cdot b}=\frac{27000}{45\cdot 10}=60\text{cm} \end{gathered}$$

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