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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

1. Surface Areas of Prisms

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Exercise 9 Page 413

Remember the formulas for the volume of a prism and the surface area of a prism.

324m^2

Practice makes perfect

We want to calculate the surface area of the given prism.

To calculate the surface area of a rectangular prism, we can use the following formula. S=2l w+2l h+2wh The terms represent the area of the three possible different sized faces. Each term is multiplied by 2 because opposite faces on a rectangular prism have equal dimensions. We are given that l= 6, w= 16, and h= 3, so we have enough information to calculate the value of S.

S=2l w+2l h+2wh

SubstituteValues

Substitute values

S=2( 6)( 16)+2( 6)( 3)+2( 16)( 3)

Multiply

S=192+36+96

Add terms

S=324

The surface area is 324m^2.

Subchapter links

Try It p.410-411

Self-Assessment for Concept & Skills p.411

Self-Assessment for Problem Solving p.412

Review & Refresh p.413

Concept, Skills, & Problem Solving p.413-414