Karen Morrison and Nick Hamshaw Solutions for Exercise 9: Exercise 11.9

Mohamed takes a short cut from his home (H) to the bus stop (B) along a footpath (HB). How much further would it be for Mohamed to walk to the bus stop by going from $H$ to corner ($C$) and then from $C$ to $B?$ Give your answer in metres. Take all values correct up to ones place.

A ladder is standing on horizontal ground and rests against a vertical wall. The ladder is $4.5 \mathrm{m}$ and its foot is $1.6 \mathrm{m}$ from the wall. Calculate how far up the wall, the ladder will reach. Give your answer correct to $3$ significant figures.

Calculate the value of $x$ (in $\mathrm{cm}$)

The two containers are mathematically similar in shape.

The larger container has a volume of $3456 {\mathrm{cm}}^3$ and a surface area of $1024 {\mathrm{cm}}^2$.

The smaller container has a volume of $1458 {\mathrm{cm}}^3$.

Calculate the surface area( in ${\mathrm{cm}}^2$) of the smaller container.

The diagram shows two jugs that are mathematically similar.

Find the value of $x$( in$\mathrm{cm}$) .