Question

9. A model of a rectangular swimming pool was made to a scale l: 500. The length and width of the actual swimming pool are 100 m and 50 m respectively. Calculate (i) the length and width of the model in cm. (ii) If the model has a capacity to hold 240 cm³ water, how much litres of water can be stored in the actual swimming pool

Answer 1

Dear Student,

$$\begin{gathered} legthandwdithofthemodel \\ l=\frac{100}{500}m=20cm \\ b=\frac{50}{500}m=10cm \\ modelvolumev=lbh \\ h=\frac{240}{200}=1.2cm \\ capacityoftheactualswimmingpool=lbh*{500}^{3}c{m}^3=\frac{20*10*1.2*{500}^3}{{10}^6}{m}^3=30000m^3 \\ Reagrds \end{gathered}$$