a student makes a scale model of a large aquarium.Her model holds 5 liters of water.The large aquarium holds 5000 liters of water.By what factor can she multiply the dimensions of the model to get the demensions of the large aquarium?

Answer 1

ratio of volumes = 5000 : 5 = 1000 : 1

volumes are proportional to the cubes of the sides, so

10^3 : 1^3 = 1000 : 1

she should use a factor of 10