(i)[5]
Show that the distance of $G$ from $BC$ is $0.276\,\text{m}$, and determine the distance of $G$ from $AB$.
(ii)[3]
Calculate the prism's weight.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
Figure 1 presents the cross-section $ABCDE$ through the centre of mass $G$ of a uniform prism. The cross-section is a rectangle $ABCF$ with triangle $DEF$ removed; $AB = 0.6\,\text{m}$, $BC = 0.7\,\text{m}$ and $DF = EF = 0.3\,\text{m}$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Cross-sectional area equals $0.5\times 0.6 - 0.3\times 0.3/2 = 0.375\ \text{m}^2$” …
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