# Dimension problem

#### bondjamesbond

##### New member
Good afternoon, can anyone resolve this issue?

A closed rectangular box, with 287496 m3 of volume, must be built with three types of cardboard. The cost of cardboard for the lid and base of the box is 16.00 reais per m2, the cost of cardboard on the front and rear sides is 8.00 reais per m2 and the cost of cardboard on the sides is 4.00 reais per m2. Find the dimensions of the box so that its production cost is as low as possible. What is the most valuable dimension ?

#### Subhotosh Khan

##### Super Moderator
Staff member
Good afternoon, can anyone resolve this issue?

A closed rectangular box, with 287496 m3 of volume, must be built with three types of cardboard. The cost of cardboard for the lid and base of the box is 16.00 reais per m2, the cost of cardboard on the front and rear sides is 8.00 reais per m2 and the cost of cardboard on the sides is 4.00 reais per m2. Find the dimensions of the box so that its production cost is as low as possible. What is the most valuable dimension ?
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