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Big Ideas Math: Modeling Real Life, Grade 6

BI

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

Chapter Review

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Exercise 45 Page 337

Remember the formula for the volume of a prism.

1118 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= 12, w= 23, and h= 1 56. Let's substitute these values into the formula for the volume of a prism!

V=l wh

SubstituteValues

Substitute values

V= 1/2( 2/3)( 1 56)

a bc=a* c+b/c

V=1/2(2/3)(1* 6 +5/6)

Multiply

V=1/2(2/3)(6 +5/6)

Add terms

V=1/2(2/3)(11/6)

Multiply

V=1* 2 * 11/2* 3* 6

Multiply

V=22/36

DivFracByFracSameDenom

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

V=22 ÷ 2/36 ÷ 2

Simplify quotient

V=11/18

The volume of the prism is 1118 of a cubic centimeter.

Subchapter links

1 Areas of Parallelograms p.333

2 Areas of Triangles p.334

3 Areas of Trapezoids and Kites p.335

4 Three-Dimensional Figures p.336

5 Surface Areas of Prisms p.336

6 Surface Areas of Pyramids p.337

7 Volumes of Rectangular Prisms p.337