Envision Math 2.0: Grade 6, Volume 2
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Envision Math 2.0: Grade 6, Volume 2 View details
8. Find Volume with Fractional Edge Lengths
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Exercise 23 Page 440

Remember the formulas for the volume of a prism.

17 12 in.^3

Practice makes perfect

Let's see the given measurements on the rectangular prism.

The volume of a rectangular prism with length l, width w, and height h can be calculated using the following formula. V=l wh We have been given that l= 4, w= 1 34, and h= 2 12, so we have enough information to calculate the value of V.
V=l wh
V= 4( 13/4)( 21/2)
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Write mixed number as a fraction
V = 4 ( 1 + 3/4) ( 2 + 1/2)
V = 4( 4/4 + 3/4) ( 4/2 + 1/2)
V = 4( 7/4) ( 5/2)
V = 47*5/4*2
V=4*7*5/4*2
V=140/8
V=35/2
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Write fraction as a mixed number
V=34+1/2
V=34/2+1/2
V=17+1/2
V=17 12
The volume of the prism is 17 12 in.^3.