Mathematics 4024 · O Level · Similarity

Similarity — practice question

Prism $A$ is mathematically similar to prism $B$. In the diagram, the shaded regions show the cross-sections of the prisms. The volume of prism $A$ is $5000\,\text{cm}^3$. The length of prism $A$ is $50\,\text{cm}$. The area of the cross-section of prism $B$ is $16\,\text{cm}^2$.
(main)[4]

Calculate the length of prism $B$.

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