For what scale factor will the volume of the dilated cube be 27 cubic units?[br]
For what scale factor will the volume of the dilated cube be 1,000 cubic units?[br]
Estimate the scale factor that would be needed to make a cube with volume of 1,001 cubic units.[br]
Estimate the scale factor that would be needed to make a cube with volume of 7 cubic units[br]
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[/img][br][br]If the company wants a box with a volume of 8 cubic feet, by what scale factor do they need to dilate the box?[br]
If they want a box with a volume of 10 cubic feet, by approximately what scale factor do they need to dilate the box?[br]
The graph shows the relationship between the volume of the dilated box and the scale factor. Write an equation that describes this relationship.[br]
Suppose the company builds a box with volume 21 cubic feet, then decides to build another box with volume 25 cubic feet. Use your graph to estimate how much the scale factor changes between these two dilated boxes.[br]
Use your graph to estimate how the scale factor changes between a box with volume of 1 cubic foot and one with volume of 5 cubic feet.
[size=150]A government agency is redesigning a satellite, or an object that goes in orbit around Earth. The surface of the satellite is covered with solar panels that supply the satellite with energy. The interior of the satellite is filled with scientific instruments. In the current design, the satellite has a surface area of 5.4 square feet and a volume of 1.2 cubic feet.[/size][br][br]If the agency wants to increase the surface area to 21.6 square feet so the satellite can generate more energy, by what scale factor do they need to dilate the satellite?
If the agency instead wants to increase the volume to 4.05 cubic feet to fit in more scientific instruments, by what scale factor do they need to dilate the satellite?[br]
Is it possible to dilate the satellite in the activity so that the number of square feet of surface area is equal to the number of cubic feet of volume? Explain or show your reasoning.