Machine engineers are designing a new ice cube machine. They notice that designs that use cubes containing higher volumes of water take longer to freeze. The data in the table show various volumes (in milliliters) and freezing times in hours) for a sample of machine designs.

The surface area (sa) of a cube with a as the length of each of its sides is given by the formula . if the surface area is known, how can you rewrite the formula to find its side?

Which polynomial function has x intercepts -1, 0, and 2 and passes through the point (1, -6)

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.