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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 10 Page 329

Remember the formula for the volume of a prism.

2116 cm^3 or 1 516 cm^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= 74, w= 32, and h= 12. Let's substitute these values into the formula for the volume of a prism!

V=l wh

SubstituteValues

Substitute values

V= 7/4( 3/2)( 1/2)

Multiply fractions

V=7* 3 * 1/4* 2 * 2

Multiply

V=21/16

The volume of the prism is 2116 cubic centimeters. We can also write the answer as a mixed number!

21/16

Rewrite 21 as 16+5

16+5/16

Write as a sum of fractions

16/16+5/16

Calculate quotient

1+5/16

Add terms

1 516

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