one airline limits the size of carry-on luggage to a volume of 40,000 cm. A passenger has a carry-on that has an area of 1,960 cm and is 23 cm high. Is the passenger's luggeage ok to carry onto the airplane?

No, since the volume of the passenger's luggage ( 45,080 cm³) exceeds the allotted volume for carry-on luggages (40,000 cm³).

Explanation:

Acceptable volume = 40,000 cm³

Area of luggage = 1,960 cm²

Height of luggage = 23 cm

Is the passenger's luggeage ok to carry onto the airplane

V = l x w x h

or we can use

V = A x h

Since A = l x w

where: V - volume

A - area

l - length

w - width

h - height

V = A x h

V = ( 1,960 cm²)(23 cm)

V = 45,080 cm³

45,080 cm³ is greater than the acceptable volume 40,000 cm³

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