Triangle $$\(A B C\)$$ is mathematically similar to triangle $$\(P Q R\)$$. The area of triangle $$\(A B C\)$$ is $$\(16 \mathrm{~cm}^{2}\)$$. The triangles are the cross-sections of prisms which are also mathematically similar. The volume of the smaller prism is $$\(320 \mathrm{~cm}^{3}\)$$. Calculate the length of the larger prism. ........................................ $$\(\mathrm{cm}\)$$
Exam No:0580_s20_qp_42 Year:2020 Question No:8(a)(ii)
Answer:
30
Knowledge points:
E4.4.1 Calculate lengths of similar figures.
E4.4.2 Use the relationships between areas of similar triangles, with corresponding results for similar figures and extension to volumes and surface areas of similar solids.
Solution:
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