Mathematics: 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.

A rectangular suitcase measures 2 ft high by 3

fathimasaynas2975

26.01.2022

yes (see below)

Step-by-step explanation:

Use diagonal of a cuboid equation: $\sqrt{l^2+w^2+h^2}$

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

$\sqrt{l^2+w^2+h^2} =\sqrt{3^2+1^2+2^2} =\sqrt{14}$ ft

$\sqrt{14}$ x 12 = 44.90 inches

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

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kiki4832

05.02.2023

See below and you can do it for yourself. You can catch me a fish too.

Step-by-step explanation:

Work out what multiplication is needed to make the sides the same length. I'd go for the short edge.

The decide if it is a positive or negative scaling. Negative gives a mirror whereas positive looks the same as the original.

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