Question

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

Answer 1

`\large\boxed{V=85(1)/(6)\ cm^3}`

Explanation:

The formula of a volume of a rectangular prism:

`V=lwh`

l - length

w - width

h - height

We have

`l=4(2)/(3)\ cm=(4\cdot3+2)/(3)\ cm=(14)/(3)\ cm\\\\w=9(1)/(8)\ cm=(9\cdot8+1)/(8)\ cm=(73)/(8)\ cm\\\\h=2\ cm`

Substitute:

`V=(14)/(3)\cdot(73)/(8)\cdot2=(7)/(3)\cdot(73)/(2)\cdot1=(511)/(6)=85(1)/(6)\ cm^3`