## Student Page

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 Double Triple Quadruple LENA 36xl5xl5 72x3Ox3O 108x45x45 144x6Ox6O MENA 36xl5xl5 72x3Ox3O 108x45x45 144x6Ox6O HENA 3OxlOx3O 6Ox2Ox6O 9Ox3Ox9O l2Ox4Oxl2O TAC/ADC 18x18x5 36x36xlO 54x54xl5 72x72x2O HV Electronics 18xl8x8 36x36xl6 54x54x24 72x72x32 Spectrometer 62x36xl6 124x72x32 186xlO8x48 248xl44x64 WB Camcra 26xl5xl3 52x3Ox26 78x45x39 104x6Ox52 Electronics 15x2Oxl8 3Ox4Ox32 45x6Ox48 6Ox8Ox64 Sensors 15xl5xlO 3Ox3Ox2O 45x45x3O 6Ox6Ox4O

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.

Doubled=
Tripled=