A box is to be made where the material for the sides and the lid cost $0.20 per square foot and the cost for the bottom is $0.650.65 per square foot. Find the dimensions of a box with volume 1010 cubic feet that has minimum cost.

the dimensions xyz of a box with volume 10 cubic feet that has minimum cost is;

x = 1.68 ft

y = 1.68 ft

z = 3.54 ft

Step-by-step explanation:

See attachment for the full explanation.

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube