Question

the volume of metal in a scale model of a metal high tension tower is 54 cm cubed. The scale used was 1:50. it required 50 mm of paint to give the model one coat. what volume of metal would be required to build the high tension Tower

Answer 1

6,750,000 cm³ = 6.75 m³

Explanation:

a scale version means that the ratio of every dimension of scale vs. real object is 1/50.

volume is created by multiplying 3 dimensions.

so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000

so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.

or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)

that would be 6.75 m³ of metal.