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Big Ideas Math: Modeling Real Life, Grade 6

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

7. Volumes of Rectangular Prisms

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Exercise 1 Page 326

Remember the formula for the volume of a prism.

2/3 ft^3

Practice makes perfect

We want to calculate the volume of the prism. Let's see the given measurements of 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= 1, w= 1 13, and h= 12. Let's substitute these values into the formula for the volume of a prism!

V=l wh

SubstituteValues

Substitute values

V= 1( 1 13)( 1/2)

a bc=a* c+b/c

V=1* 1* 3+1/3* 1/2

1* a=a

V=3+1/3* 1/2

Add terms

V=4/3* 1/2

Multiply fractions

V=4* 1/3* 2

Multiply

V=4/6

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

V=4 ÷ 2/6 ÷ 2

Simplify quotient

V=2/3

The volume of the prism is 23 cubic feet.

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