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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

2. Volumes of Cones

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Exercise 6 Page 437

Take the cube root of both sides of the equation.

h=4

Practice makes perfect

We want to solve the given equation. First, we need to isolate the variable term on one side of the equation. To do so, we will use the Addition Property of Equality and the Division Property of Equality.

2h^3-33=95

LHS+33=RHS+33

2h^3-33+33=95+33

Add terms

2h^3=128

.LHS /2.=.RHS /2.

2h^3/2=128/2

CancelCommonFac

Cancel out common factors

2h^3/2=128/2

Simplify quotient

h^3=64

Next, since x is raised to the third power we will take cube roots on both sides.

h^3=64

sqrt(LHS)=sqrt(RHS)

sqrt(h^3)=sqrt(64)

SplitIntoFactors

Split into factors

sqrt(h^3)=sqrt(4* 4* 4)

ProdToPowThreeFac

a* a* a=a^3

sqrt(h^3)=sqrt(4^3)

RootPowToNumber

sqrt(a^3)=a

h=4

Subchapter links

Try It p.434-435

Self-Assessment for Concepts & Skills p.435

Self-Assessment for Problem Solving p.436

Review & Refresh p.437

Concepts, Skills, & Problem Solving p.437-438