$$\(A B C D E F G H\)$$ is a cuboid. $$\(A B=8 \mathrm{~cm}, B C=5 \mathrm{~cm}\)$$ and $$\(C G=11 \mathrm{~cm}\)$$. Ivana has a pencil of length $$\(13 \mathrm{~cm}\)$$. Does this pencil fit completely inside the cuboid? Show how you decide.
Exam No：0580_w20_qp_43 Year：2020 Question No：6(b)
Answer:
\(\sqrt{8^{2}+5^{2}+11^{2}}\) oe
or
\(8^{2}+5^{2}+11^{2}\) and \(13^{2}\)
ALTERNATIVE
\(\sqrt{8^{2}+11^{2}}\) or \(8^{2}+11^{2}\) and \(13^{2}\)
Yes and \(14.5\) or \(14.4\) or \(14.49 \ldots\)
or
Yes and \(13.6[0 \ldots]\)
or
\(8^{2}+5^{2}+11^{2}\) and \(13^{2}\)
ALTERNATIVE
\(\sqrt{8^{2}+11^{2}}\) or \(8^{2}+11^{2}\) and \(13^{2}\)
Yes and \(14.5\) or \(14.4\) or \(14.49 \ldots\)
or
Yes and \(13.6[0 \ldots]\)
Knowledge points:
E6.2.1 Apply Pythagoras’ theorem and the sine, cosine and tangent ratios for acute angles to the calculation of a side or of an angle of a right- angled triangle. (Angles will be quoted in degrees. Answers should be written in degrees and decimals to one decimal place.)
E6.2.2 Solve trigonometric problems in two dimensions involving angles of elevation and depression.
Solution:
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