A cargo ship has an average fuel consumption of 0.000 892 kilometres per litre. Write this consumption in litres per kilometre. Answer ... l / km A model of another cargo ship is made to a scale of 1 : 60. The length of this model cargo ship is 550 cm. Find the actual length of this cargo ship in metres. Answer ... m The capacity of the fuel tanks in the model cargo ship is 7.75 litres. Find the actual capacity of the fuel tanks of the cargo ship. Express your answer in standard form. Answer ... l

1. Convert kilometres per litre to litres per kilometre by taking the reciprocal.

Given consumption is $0.000892\text{ km/l}$.

So,
$\text{litres per kilometre}=\frac{1}{0.000892}=1121.076\ldots$

To 3 significant figures,
$1121.076\ldots=1.12\times 10^3$

Therefore, the consumption is $1.12\times 10^3\text{ l/km}$.

1. Find the actual length using the scale $1:60$ and convert from centimetres to metres.

Scale $1:60$ means
$\text{actual length}=60\times \text{model length}.$
$\text{Actual length}=550\times 60=33000\text{ cm}$
$33000\text{ cm}=330\text{ m}$

1. Use the scale factor to find the volume/capacity scale factor.

The linear scale is model : actual $=1:60$.

For capacity/volume,
$\text{volume scale factor}=60^3.$

2. Calculate the actual capacity and express it in standard form.

$\text{actual capacity}=7.75\times 60^3$
$=7.75\times 216000$
$=1674000$
$=1.674\times 10^6\text{ l}$