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Big Ideas Math: Modeling Real Life, Grade 6

BI

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

1. Integers

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Exercise 3 Page 349

Remember the formula for the volume of a prism.

8 ft^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= 3 34, w= 1 13, and h= 1 35. Let's substitute these values into the formula for the volume of a prism!

V=l wh

SubstituteValues

Substitute values

V= 3 34( 1 13)( 1 35)

a bc=a* c+b/c

V=3* 4+3/4(1* 3+1/3)(1* 5+3/5)

Multiply

V=12+3/4(3+1/3)(5+3/5)

Add terms

V=15/4(4/3)(8/5)

Rewrite 15 as 3* 5

V=3* 5/4(4/3)(8/5)

Cross out common factors

V=3* 5/4(4/3)(8/5)

Simplify quotient

V=8

The volume of the prism is 8 ft^3.

Subchapter links

Try It p.346-347

Self-Assessment for Concepts & Skills p.347

Self-Assessment for Problem Solving p.348

Review & Refresh p.349