MATH SOLVE

3 months ago

Q:
# A closed rectangular box has volume 28cm3. What are the lengths of the edges giving the minimum surface area? lengths =

Accepted Solution

A:

For the surface of rectangle to be minimum the the dimensions must be equal. Let the length=width=height=x cm

thus the volume will be:

xΓxΓx=28

xΒ³=28

x=β28

x=2β7 cm

thus the dimensions are such that length=width=height=2β7

thus the volume will be:

xΓxΓx=28

xΒ³=28

x=β28

x=2β7 cm

thus the dimensions are such that length=width=height=2β7