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Envision Math 2.0: Grade 6, Volume 2

EM

Envision Math 2.0: Grade 6, Volume 2 View details

8. Find Volume with Fractional Edge Lengths

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Exercise 11 Page 439

Remember the formulas for the volume of a prism.

17 79 yd^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= 2, w= 1 23, and h= 5 13, so we have enough information to calculate the value of V.

V=l wh

SubstituteValues

Substitute values

V= 2( 12/3)( 51/3)

▼

Write mixed number as a fraction

a bc=a* c+b/c

V=2(1* 3+2/3)(5* 3+1/3)

Multiply

V=2(3+2/3)(15+1/3)

Add terms

V = 2( 5/3) ( 16/3)

▼

Multiply

MoveLeftFacToNum

a*b/c= a* b/c

V = 10/3( 16/3)

Multiply fractions

V = 160/9

▼

Write fraction as a mixed number

Write as a sum

V = 153+7/9

Write as a sum of fractions

V = 153/9+7/9

Calculate quotient

V = 17+7/9

Add terms

V = 17 79

The volume of the prism is 17 79 yd^3.

Subchapter links

Do You Understand? p.438

Do You Know How? p.438

Practice & Problem Solving p.439-440

Assessment Practice p.440