# math

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The volume of metal in a scale model of an mobile phone tower is 54 cm^3. The scale was 1:50. It required 5 ml of paint to give the model one coat.
Find the volume of mental in cubic metres would be required to build the tower.

• math -

the scale of volume is the cube of the linear scale, since each dimension is multiplied by the scale.
Then convert that using 1m = 100 cm
The result says that

v = 54 cm^3 * (50/1)^3 * (1m/100cm)^3 = 54*(1/2)^3 = 54/8 = 27/4 m^3

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