A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
a) 90 cm
b) 1 dm
c) 1 m
d) 1.1 cm
Answer: b
Explanation: Let the thickness of the bottom be x cm
$${\mkern 1mu} {\left( {330 – 10} \right) \times \left( {260 – 10} \right) \times \left( {110 – x} \right)} = $$ $$8000 \times $$ $$1000$$
$$ \Rightarrow 320 \times 250 \times \left( {110 – x} \right) = 8000 \times 1000$$
$$\eqalign{
& \left( {110 – x} \right) = \frac{{8000 \times 1000}}{{320 \times 250}} = 100 \cr
& x = 10\,{\text{cm}} = 1\,{\text{dm}} \cr} $$
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