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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

7. Volumes of Rectangular Prisms

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Exercise 14 Page 329

Remember the formula for the volume of a prism.

252 m^3 or 12 12 m^3 or 12.5 m^3

Practice makes perfect

We will calculate the volume of the prism. 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 are given that l= 2 45, w= 1 37, and h= 3 18. Let's substitute these values into the formula for the volume of a prism!

V=l wh

▼

Simplify right-hand side

SubstituteValues

Substitute values

V= 2 45 ( 1 37)( 3 18)

a bc=a* c+b/c

V=2* 5+4/5 (1* 7 +3/7) (3* 8+1/8)

Multiply

V=10+4/5 (7 +3/7) (24+1/8)

Add terms

V=14/5 (10/7) (25/8)

Multiply fractions

V=14* 10* 25/5* 7 *8

Multiply

V=3500/280

DivFracByFracSameDenom

.a /140./.b /140.=a/b

V=3500 ÷ 140/280 ÷ 140

Simplify quotient

V=25/2

Use a calculator

V=12.5

The volume of the prism is 12.5 m^3. We can also write the answer as a mixed number!

V=12.5

Rewrite 12.5 as 12+0.5

V=12+0.5

Rewrite 0.5 as 1/2

V=12+1/2

Add terms

V=12 12

Subchapter links

Try It p.326-327

Self-Assessment for Concepts & Skills p.327

Self-Assessment for Problem Solving p.328

Review & Refresh p.329