Question

A packaging firm has been hired to create a box for baby blocks. The firm was hired because it could save money by creating a box using the least amount of material. the packaging firm knows that the volume of the box must be 18cm3. What are the possible dimensions for the box if the volume must be18 cm3? Which set of dimensions should the package firm choose in order to use the least amount of material? Explain Please show work

Answer 1

The dimensions are either (3,3,2)cm

Or

(9,2,1)cm

Explanation:

First we have to put into consideration that the volume must be 18cm³

Nothing greater than that, nothing less than that.

Not even with decimal.

So let's give the possible values combination to give us volume as 18.

We have

Length= 9cm

Width= 2cm

Height= 1cm

Volume = 9*2*1= 18cm³

The above can be arranged 3! = 6 ways though.

It's just the combination that is important.

Second is

Length= 3cm

Width= 3cm

Height= 2cm

Volume= 18cm³

The above can be arranged 3! = 6 ways though.

It's just the combination that is important.