Mathematics 4024 · O Level · Surface area and volume

Surface area and volume — practice question

The diagram depicts a garden shed standing on level ground. It has the form of a prism with trapezium $ABCD$ as its cross-section. The shed base, $ABFE$, is rectangular. $AB = 1.55$ m, $AD = 2.25$ m, $BC = 1.85$ m and $BF = 2.10$ m.
(a)[3]

Calculate the shed's volume.

(b)[4]

The roof of the shed, $CGHD$, is to be painted. 1 litre of paint covers 2 square metres. Calculate the amount of paint used.

(c)[4]

Calculate the angle of elevation of $D$ as seen from $F$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct area method for the trapezium

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