Math Project

Will It Fit? Performance Task

The Problem:

To flare-up a scale clay sculpture of our solar system deep down a 100m x 100m blank, what would be the size of the sphere that would play the lie? On 8.5 x 11 grid paper augur the spacing of the nine planets. Indicate in your solution the diameter of each planet as it would appear in this space above the gym.?
Could real balls be used to represent the distinguishable planets; i.e. golf ball, tennis ball, glass marble, volleyball, etc.??
If a basketball game was hung in the centre of this structure and it could not be make to scale, how large would the building need to be so that a basketball could be hung above the centre of the building?

The resultant:

Answer 1. ?In found to figure step to the fore how to fit a scale model of our solar system inside a 100m x 100m space and the size of the sphere that would represent the sun, the first thing we would need to do is materialise out the remoteness between the sun and the farthest planet from the sun, Pluto. The distance between them is 5,934,293,750,000m.

In order to put a solar system inside a 100m x 100m space, with the sun in the middle, the distance between the sun and Pluto has to be 50m.



By dividing the real distance between the sun and Pluto with 50m we captivate the scale of the model that will be used to note other distances and diameters for our solar system model.

5,934,293,750,000m / 50m = 118,665,875,000

The scale for our model is 1 : 118,665,875,000.

Now we need to find the echt diameter of the sun. The actual diameter of the sun is 1,390,435,200m. This means that the size of the sun in our model is the actual diameter of the sun divided by the scale of our model.

1,390,435,200m / 118,665,875,000 = 0.01172m

The size of the sphere that would represent the sun in our model has to be 0.01172m, or just a composition over 1cm, in order for the solar system model to fit inside a 100m x 100m space.

Similarly to the sun, we would find the diameters of the other planets. We would...If you want to get a full essay, order it on our website: Orderessay



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