Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagram depicts a prism whose length is 18 cm and whose volume is $253.8\,\text{cm}^3$. Its cross-section is a right-angled triangle with a base of 6 cm and a height of $h$ cm.
(a(i))[3]

Show that $h$ is 4.7.

(a(ii))[2]

Calculate $x$.

(b)[6]

Calculate the prism’s total surface area.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Area of triangle $=\frac{1}{2}\times6\times h$

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