A rectangular suitcase measures 2 ft high by 3 ft long by 1 ft wide. Can an umbrella that is 42 inches long be packed in the suitcase? Justify your answer.

Respuesta :

Answer:

yes (see below)

Step-by-step explanation:

Use diagonal of a cuboid equation:  [tex]\sqrt{l^2+w^2+h^2} [/tex]

where l is the length, w is the width and h is the height

[tex]\sqrt{l^2+w^2+h^2} =\sqrt{3^2+1^2+2^2} =\sqrt{14} [/tex] ft

[tex]\sqrt{14} [/tex] x 12 = 44.90 inches

As 42 < 44.90, the umbrella can be packed in the suitcase.