The volume of a cube is 512in. to the third power. how long is each side?

Given the two similar triangles, how do i find the missing length? if a=4, b=5, and b'=7.5 find a'

In which direction does the left side of the graph of this function point? f(x) = 3x3 - x2 + 4x - 2

Chosen according to the volume of oil it can haul, as shown in at a railway yard, locomotives are used to haul containers carrying the table. locomotive capacity a450 0 -750 cubic feet cg35 750-1,500 cubic feet br73 1,500-2,500 cubic feet yh61 2,500-3,500 cubic feet & the four cylindrical containers listed in the table need to be hauled. cylinder length (ft.) diameter (ft.) fill level a 40 , 12 half b 24 8 full c 16 16 full 6 12 full d match each container to the locomotive needed to haulit a450 cylinder a yh61 cylinder d