The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in if a bin has a volume of 1.5 m3, the volume of the bin, in ft3, is closest to?

Answers

Answer 1

The volume of the bin in ft^3 is determined as 53 ft3

Calculation

Given,

1m = 100cm ⇒ 1cm = [tex]10^{-2}[/tex]

1in = 2.54 cm = 2.54 x [tex]10^{-2}[/tex] m

1ft = 12in = 12 x 2.54 x [tex]10^{-2}[/tex] = 30.48 x [tex]10^{-2}[/tex] m

⇒ 1m = 1/30.48 x [tex]10^{2}[/tex] ft

Volume = 1.5[tex]m^{3}[/tex]

= 1.5 x [tex](1m)^{3}[/tex]

= 1.5 x (1/30.48 x [tex]10^{2}[/tex] ft)^3

= 52.97ft^3

V= 53 ft^3 (nearly)

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