1.8: Rate of increase of a cuboid dimension

4PM1/2R/June/2022 — Question 2 · 6 marks

When poured from a pipe, concrete is formed into the shape of a cuboid with a square base of side x\displaystyle x and height 3x\displaystyle 3x.
The volume of the cuboid increases at a constant rate of 8m3s1\displaystyle 8\,\mathrm{m}^3\mathrm{s}^{-1}.
Find the rate of increase, in ms1\displaystyle \mathrm{m\,s^{-1}}, of x\displaystyle x when x=2\displaystyle x=2 metres.
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