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

Mathematics

1 answer:

amm18123 years ago

6 0

Answer:

$\large\boxed{V=85\dfrac{1}{6}\ cm^3}$

Step-by-step explanation:

The formula of a volume of a rectangular prism:

$V=lwh$

l - length

w - width

h - height

We have

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

Substitute:

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

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