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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 8 Page 438

Remember the formulas for the volume of a prism.

25/8 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= 1 14, w= 1 14, and h= 2, so we have enough information to calculate the value of V.

V=l wh

SubstituteValues

Substitute values

V= 1 14( 1 14)( 2)

▼

Write mixed number as a fraction

Write as a sum

V = ( 1 + 1/4) ( 1 + 1/2) (2)

Write as a fraction

V = ( 4/4 + 1/4) ( 4/4 + 1/4) ( 2/1)

Add fractions

V = 5/4( 5/4) ( 2/1)

Multiply fractions

V = 5*5*2/4*4*1

Multiply

V=50/16

a/b=.a /2./.b /2.

V=25/8

The volume of the prism is 258 ft^3.

Subchapter links

Do You Understand? p.438

Do You Know How? p.438

Practice & Problem Solving p.439-440

Assessment Practice p.440