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 18cm^3. A. What are the possible dimensions for the box if the volume must be18 cm3?

B . Which set of dimensions should the package firm choose in order to use the least amount of material? Explain Please show work

A. 3cm by 3cm by 2cm or 6cm by 3cm by 1cm

B. 3cm by 3cm by 2cm

Step-by-step explanation:

POSSIBLE DEMENSIONS

3cm by 3cm by 2cm = 18cm^3

6cm by 3cm by 1cm = 18cm^3

LEAST AMOUNT OF MATERIAL

3 by 3 by 2 would mean 6cm squared of material per side

6 + 6 + 6 + 6 + 6 + 6 = 6 times 6 = 36

Total : 6 sides = 36cm^2 used

6 by 3 by 1 would mean 2 sides of 6cm^2, 2 sides of 3cm^2 and 2 sides of 18cm^2

18 + (6 + 6) + (3 + 3) =

18 + 12 + 9 =

30 + 9 = 39

Total: 39cm^2

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