Cylinder melted into cuboid

A circular cylinder has an area of cross-section of 56 cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16 cm². What is the height of the cuboid?

Correct answer:

h =  35 cm

Step-by-step explanation:

$$\begin{gathered} S_1=56{\text{cm}}^2 \\ {S}_2=16{\text{cm}}^2 \\ {h}_1=10\text{cm} \\ h=\frac{S_1}{S_2}\cdot h_1=\frac{56}{16}\cdot 10=\frac{56\cdot 10}{16}=\frac{560}{16}=35\text{cm} \end{gathered}$$

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