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The IMAGE satellite's construction involves a number of different instruments. These instruments are analyzed to determine the dimensions that will provide the most efficient satellite while minimizing the weight and cost.

In order to help you understand the possible factors involved in the dimensions, mass and cost; complete the following activities.

1. Calculate the dimensions of the following instruments and spacecraft components:

Instrument Dimension DoubleTripleQuadruple
LENA 36xl5xl5 72x3Ox3O108x45x45144x6Ox6O
MENA 36xl5xl572x3Ox3O 108x45x45144x6Ox6O
HENA 3OxlOx3O 6Ox2Ox6O9Ox3Ox9Ol2Ox4Oxl2O
TAC/ADC 18x18x536x36xlO54x54xl572x72x2O
HV Electronics 18xl8x8 36x36xl654x54x2472x72x32
Spectrometer62x36xl6 124x72x32186xlO8x48248xl44x64
WB Camcra 26xl5xl3 52x3Ox26 78x45x39104x6Ox52
Electronics 15x2Oxl83Ox4Ox3245x6Ox486Ox8Ox64
Sensors 15xl5xlO3Ox3Ox2O45x45x3O6Ox6Ox4O

2. When the dimensions of the satellite are doubled, by what factor is the size increased? What factor is the increase when the dimensions are tripled and quadrupled?

3. Is there any noticeable connection between two or more of these factors of increase?

4. The mass of the IMAGE satellite increases proportional to the volume. If the dimensions are doubled, the mass increases by the cube of the factor or 2x2x2=8. The mass of the satellite is 66.1 kg. Determine the mass increase when the dimensions are doubled, tripled and quadrupled.


5. The cost of the satellite also increases proportional to the mass. The cost for the original dimensions is $28.4 million. What is the cost for each of the various increases?


6. In your own words, please write the process 'involved in determining the dimensions, mass and cost of the IMAGE satellite. Why would a scientist want a 'bigger' satellite?