A rectangular storage container with an open top is to have a volume of 8 m3....

A rectangular storage container with an open top is to have a volume of 8 m3. The length of this base is twice the width. Material for the base costs $6 per square meter. Material for the sides costs $10 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)

Expert Solution

milcah answered 2 years ago

A rectangular storage container with an open top is to have a volume of 10 m3....

A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)

A rectangular storage container with an open top is to have a volume of 16 cubic...

A rectangular storage container with an open top is to have a volume of 16 cubic meters. The length of its base is twice the width. Material for the base costs 15 dollars per square meter. Material for the sides costs 6 dollars per square meter. Find the cost of materials for the cheapest such container.

A rectangular storage container with an open top is to have a volume of 14 cubic...

A rectangular storage container with an open top is to have a volume of 14 cubic meters. The length of its base is twice the width. Material for the base costs 14 dollars per square meter. Material for the sides costs 7 dollars per square meter. Find the cost of materials for the cheapest such container.

A rectangular storage container with an open top is to have a volume of 20 cubic...

A rectangular storage container with an open top is to have a volume of 20 cubic meters. The length of its base is twice the width. Material for the base costs 14 dollars per square meter. Material for the sides costs 7 dollars per square meter. Find the cost of materials for the cheapest such container.

A rectangular storage container with an open top is to have a volume of 9826 cubic...

A rectangular storage container with an open top is to have a volume of 9826 cubic meters. The length of its base is twice the width. Material for the base costs 12 dollars per square meter. Material for the sides costs 8 dollars per square meter. Find the cost of materials for the cheapest such container.

A rectangular storage container with an open top is to have a volume of 22 cubic...

A rectangular storage container with an open top is to have a volume of 22 cubic meters. The length of its base is twice the width. Material for the base costs 11 dollars per square meter. Material for the sides costs 6 dollars per square meter. Find the cost of materials for the cheapest such container. Total cost = (?) (Round to the nearest penny and include monetary units. For example, if your answer is 1.095, enter $1.10 including the...

A rectangle storage container with an open top should have a volume of 33 meters^3. The...

A rectangle storage container with an open top should have a volume of 33 meters^3. The length of its base is 2 times the width. Material costs for the base are $10/meter^2 and the material costs for the sides are $22/meter^2. Optimize the costs of materials (hint minimum cost we are not trying to sell it).

An open-top cylindrical container is to have a volume of 729 cm3. What dimensions(radius and height)...

An open-top cylindrical container is to have a volume of 729 cm3. What dimensions(radius and height) will minimize the surface area?

A rectangular tank with a square base, an open top, and a volume of 1372 ft...

A rectangular tank with a square base, an open top, and a volume of 1372 ft cubed is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.

A rectangular box with a square base and an open top and a volume of 1ft^3...

A rectangular box with a square base and an open top and a volume of 1ft^3 is to be made. Suppose the material used to build the sides cost $4 per ft^2 and the material used to build the bottom costs $1 per ft^2. Determine the dimensions (i.e. the side-length of the base and the height) of the box that will minimize the cost to build the box. Note: if we let x denote the side-length of the base and...

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