Calculus
posted by Mike Sowells .
Bruce has commissioned the construction of an opentop rectangular tank to be fashioned from a 3m by 5m sheet of steel. Squares will be cut from each corner and sides will be bent upward to form the tank to be used for live bait storage. Find the dimensions of the squares that need to be cut from each corner of the steel sheet in order to provide the maximum volume for the tank.

Calculus 
Steve
the base will be (32x) by (52x) if a square of side x is cut from each corner.
v = x(32x)(52x) = 4x^316x^2+15
dv/dx = 12x^232x+15
dv/dx=0 when x = 1/6 (8√19) = .6068, or 60.7 cm
Respond to this Question
Similar Questions

algebra
Opentop box. Thomas is going to make an opentop box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what … 
Calculus AB/AP
A tank with a rectangular base and rectangular sides is to be open at the top. It is to be constructed so that its width is 4 meters and its volume is 36 cubic meters. If building the tank costs $8 per square meter for the base and … 
calculus
A tank with a rectangular base and rectangular sides is to be open at the top. It is to be constructed so that its width is 4 meters and its volume is 36 cubic meters. Building the tank costs $10 per square meter for the base and $5 … 
math
Your iron works has been contracted to design and build a 500ft3 squarebased, opentop, rectangular steel holding tank for a paper company. The tank is to be made by welding halfinchthick stainless steel plates together along their … 
math
An open steel tank measures 2m by 2.5m by 3m.It holds 7500 ml of water. What is the volume of steel,in cubic metres,making up the sides of the tank ? 
math
an open steel tank measures 2m by 2.5m by 3m.It holds 7500 ml of water.What is the volume of steel,in cubic metres,making up the sides of the tank ? 
Calculus
A carpenter wants to make an opentopped box out of a rectangular sheet of tin 24 inches wide and 45 inches long. The carpenter plans to cut congruent squares out of each corner of the sheet and then bend the edges of the sheet upward … 
Calculus
A rectangular tank with a square base, an open top, and a volume of 4,000 ft cubed is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. I'm not understanding how to get started … 
Mathematics
A sheet metal fabricator makes boxes from sheets of steel. Each sheet of steel has an area of 1500 cm^2. 6 cm squares are cut from each corner and the edges are bent up to form a box with a volume of 3456 cm^2. What are the dimensions … 
Algebra
A sheet metal fabricator makes boxes from sheet of steel. Each sheet of steel has an area of 1500cm2. 6cm squares are cut from each corner and the edges are bent up to form a box with a volume of 3456cm3.What are the dimensions of …