Envision Math 2.0: Grade 6, Volume 2
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Envision Math 2.0: Grade 6, Volume 2 View details
Review

Exercise 1 Page 446

Remember the formula for the volume of a rectangular prism.

782 29 in.^3

Practice makes perfect

We are given a rectangular prism and we want to find its volume.

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 are given that l= 5, w= 7 13, and h= 21 13, so we have enough information to calculate the value of V.
V=l wh
V= 5( 7 13)( 21 13)
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Simplify right-hand side
V=5(7*3+1/3)(21*3+1/3)
V=5(21+1/3)(63+1/3)
V=5(22/3)(64/3)
V=5(22*64/3*3)
V=5(1408/9)
V=5*1408/9
V=7040/9
Now we can write the volume V as a mixed number.
V=7040/9
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Write fraction as a mixed number
V=7038+2/9
V=7038/9+2/9
V=782+2/9
V=782 29
The volume of the prism is 782 29 in.^3