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 12 Page 439

Remember the formulas for the volume of a prism.

37 127 ft^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= 3 13, w= 3 13, and h= 3 13, so we have enough information to calculate the value of V.
V=l wh
V= 3 13( 3 13)( 3 13)
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Write mixed number as a fraction
V = ( 3 + 1/3) ( 3 + 1/3) ( 3 + 1/3)
V = ( 9/3 + 1/3) ( 9/3 + 1/3) ( 9/3 + 1/3)
V = 10/3( 10/3) ( 10/3)
V = 10*10*10/3*3*3
V=1000/27
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Write fraction as a mixed number
V=999+1/27
V=999/27+1/27
V=37+1/27
V=37 127
The volume of the prism is 37 127 ft^3.