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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 6 Page 438

Remember the formulas for the volume of a prism.

3 38 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= 1 12, w= 1 12, and h= 1 12, so we have enough information to calculate the value of V.

V=l wh

SubstituteValues

Substitute values

V= 1 12( 1 12)( 1 12)

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Write mixed number as a fraction

WriteSum

Write as a sum

V = ( 1 + 1/2) ( 1 + 1/2) ( 1 + 1/2)

WriteAsFrac

Write as a fraction

V = ( 2/2 + 1/2) ( 2/2 + 1/2) ( 2/2 + 1/2)