Question

Sophia wants to make an enclosure in her yard to hold wood for her fireplace. She needs a space that will hold 4 cubic meters of wood. She has decided that the best shape has a square base, open on one side, with three concrete sides and a tin roof. (Only the sides and the roof need to be constructed; the floor will just be ground.) The cost of tin roof is 60 dollars per square meter, and the cost of concrete is 20 dollars per square meter. What is the most cost-efficient design under these constraints? Make sure you provide all the necessary dimensions.

Answer 1

Anyone? I desperate for help

Answer 2

\[4 (m^{3}) = xyz\]

Answer 3

\[z = x , 4 = x^{2}y\]