willowlockett willowlockett
  • 15-02-2019
  • Mathematics
contestada

find the volume of the rectangle 4 2/3cm,9 1/8cm, 2cm

Respuesta :

gmany
gmany gmany
  • 19-02-2019

Answer:

[tex]\large\boxed{V=85\dfrac{1}{6}\ cm^3}[/tex]

Step-by-step explanation:

The formula of a volume of a rectangular prism:

[tex]V=lwh[/tex]

l - length

w - width

h - height

We have

[tex]l=4\dfrac{2}{3}\ cm=\dfrac{4\cdot3+2}{3}\ cm=\dfrac{14}{3}\ cm\\\\w=9\dfrac{1}{8}\ cm=\dfrac{9\cdot8+1}{8}\ cm=\dfrac{73}{8}\ cm\\\\h=2\ cm[/tex]

Substitute:

[tex]V=\dfrac{14}{3}\cdot\dfrac{73}{8}\cdot2=\dfrac{7}{3}\cdot\dfrac{73}{2}\cdot1=\dfrac{511}{6}=85\dfrac{1}{6}\ cm^3[/tex]

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