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mathematicsprinted 115 · PDF 116
165 pagesrevision 46935
printed 115 · PDF 116
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shortest distance will be the same as the shortest distance calculated in the
previous part because the triangles on both sides of the prism are identical.
Triangle FYB can be assumed to be inside the prism for the purposes of
understanding. The rectangle BCFE can be cut in half from its diagonal, BF, to
give another triangle from which the length of BF can be found. This length
can then be used in triangle FYB to find the required angle.
Q2e - The main concept being tested in this question is unit conversions. The
density is given in 𝑘𝑔/𝑚3 whereas the volume of the prism given in the
question is given in 𝑐𝑚3. First of all, 𝑐𝑚3 needs to be converted into 𝑚3. To
convert a quantity from 𝑐𝑚 to 𝑚, you need to divide it by 100. If a volume
needs to be converted, the quantity must be divided by 1003. The volume in
𝑚3 is now known. Rearrange the given formula for density to find mass in
kilograms. Multiply this by 1000 to give the mass in grams, which is the final
answer.