Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The figure is a trapezium $ABCD$. The lengths are $AB = 8$ cm, $AD = 5$ cm and $BC = 6$ cm. Right angles are marked at $A$ and $D$. Diagram not to scale.
(a(i))[2]

Draw trapezium $ABCD$ accurately. Side $AD$ has already been drawn.

(a(ii))[1]

Find the size of the obtuse angle.

(a(iii))[1]

Find the length of $CD$ in centimetres.

(a(iv))[2]

Calculate the area of trapezium $ABCD$.

(b(i))[3]

Calculate the volume of the cylinder.

(b(ii))[3]

Calculate the surface area of the cuboid.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate trapezium” …

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