John has yellow, green, and red cubes, each with side length c. eight yellow cubes are glued together to make a larger cube. an even larger cube is made by gluing on green cubes until no yellow cubes can be seen. after that, john covers the green cubes with red ones so that green also cannot be seen, making an even larger cube. the minimum number of green and red cubes were used to cover previous colors. what is the volume of the final big red cube?

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.