There is a 2nd shipment of 9,500,000 ft^3 of hazardous material that comes to your company. you have up to 300,000ft^3 of the titanium sheeting to use to make the tank. the management team has asked the dimensions of the smallest cubic tank that will hold this new shipment.

Find the length of the edge of the edge of the cubic tank.

Find the minimum amount of titanium needed to complete the tank.

Find the total cost to build and fill the smallest tank to contain the new shipment.

p=40c+70t

$40 per cubic foot to transport material
$70 per sq foot of titanium sheeting

Question

There is a 2nd shipment of 9,500,000 ft^3 of hazardous material that comes to your company. you have up to 300,000ft^3 of the titanium sheeting to use to make the tank. the management team has asked the dimensions of the smallest cubic tank that will hold this new shipment.

Find the length of the edge of the edge of the cubic tank.

Find the minimum amount of titanium needed to complete the tank.

Find the total cost to build and fill the smallest tank to contain the new shipment.

p=40c+70t

$40 per cubic foot to transport material
$70 per sq foot of titanium sheeting