Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

Fig. 1 illustrates the cross-section $ABCDE$ passing through the centre of mass $G$ of a uniform prism. The cross-section is made up of a rectangle $ABCF$ with a triangle $DEF$ removed from it; $AB = 0.6\,\text{m}$, $BC = 0.7\,\text{m}$ and $DF = EF = 0.3\,\text{m}$.
(i)[5]

Show that the distance of $G$ from $BC$ is $0.276\,\text{m}$, and find the distance of $G$ from $AB$.

(ii)[3]

Calculate the prism's weight.

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