Mathematics 4024 · O Level · Similarity

Similarity — practice question

The diagram depicts a prism whose cross-section is an isosceles triangle with side lengths 13 cm, 13 cm and base 10 cm. The prism has length 3 cm.
(a)[4]

Show that the volume of the prism is $180\text{ cm}^3$.

(b)[3]

A prism that is mathematically similar has a volume of $1440\text{ cm}^3$. Its cross-section is an isosceles triangle with base $x$ cm. Calculate the value of $x$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: The height is $12$.

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