Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

The large box and the small box are mathematically similar. The volume of the large box is $72.8\%$ greater than the volume of the small box. The small box has length $3.5\,\text{cm}$ and the large box has length $x\,\text{cm}$. Diagrams of the small and large boxes are shown. NOT TO SCALE.
(main)[3]

Calculate $x$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Sets up $\sqrt[3]{\frac{172.8}{100}} \times 3.5$

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