Find the MAXIMUM volume of a box given by the function V(x) = x(12 - 2x)^2. (Round your answer to the nearest hundredth.)

nearest-hundredth
maximum-volume

#1

Find the MAXIMUM volume of a box given by the function V(x) = x(12 - 2x)^2. (Round your answer to the nearest hundredth.)

Answer:

the volume is the result of multiplying the dimensions of the box

having the value in parentheses go negative, makes no sense in the “real” world

with that constraint … the max volume is … 128