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McGraw Hill Glencoe Algebra 1, 2012 View details

Mid-Chapter Quiz

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Exercise 5 Page 421

Remember the formula for the volume of a prism.

B

Practice makes perfect

Let's start by identifying the sides of the prism and then calculate the volume. The volume of a rectangular prism with l length, w width, and h height can be calculated using the formula below. V=l wh We know that l= 4x^4, w= 2x^3, and h= x^2, so we have enough information to calculate the value of V.

V=l wh

SubstituteValues

Substitute values

V=( 4x^4)( 2x^3)( x^2)

CommutativePropMult

Commutative Property of Multiplication

V=4 (2) x^4 x^3 x^2

Multiply

V=8 x^4 x^3 x^2

MultPow

a^m*a^n=a^(m+n)

V=8 x^(4+3+2)