A rectangular box must have a volume of 2 cubic meters. The material for the base and top costs $ 3 per square meter. The material for the vertical sides costs $ 12 per square meter.

(a) Express the total cost of the box in terms of the length (l) and width (w) of the base.

Question

A rectangular box must have a volume of 2 cubic meters. The material for the base and top costs $ 3 per square meter. The material for the vertical sides costs $ 12 per square meter.

(a) Express the total cost of the box in terms of the length (l) and width (w) of the base.

anonymous · Answer

I'll use caps for clarity. Box H high, length L, width W.

volume HLW = 2

cost = 2x$3xLW + $12 x (2HW +2HL) tops and sides

cost = $6 LW  + $48 / L + $48 / W

anonymous · Answer

thats the final answer?

anonymous · Answer

Yes, we have expressed it in terms of L and W. That was (a). Did not see any others.