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

3. Measures of Center

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Exercise 9 Page 430

Use the net of a solid to find the surface area of a prism.

63.5ft^2

Practice makes perfect

We want to calculate the surface area of a prism. Let's see the given measurements on the rectangular prism.

We can use a net to calculate the surface area of a rectangular prism. Let's see the net!

Every polygon in the net is a rectangle. Note that all of the parallel faces have the same measurements. Let's calculate the areas of rectangles separately and add them!

Face	Length l	Width w	Area=l * w
Bottom	4.5	2	4.5* 2=9ft^2
Top	4.5	2	4.5* 2=9ft^2
Side	3.5	2	3.5* 2=7ft^2
Side	3.5	2	3.5* 2=7ft^2
Front	4.5	3.5	4.5* 3.5=15.75ft^2
Back	4.5	3.5	4.5* 3.5=15.75ft^2

We got all the information that we need to find the total surface area of the rectangular prism. Let's add the areas of the faces to get the whole area! Total Surface Area 9+ 9+ 7+ 7+ 15.75+ 15.75=63.6ft^2 The total surface area is 63.5 square feet.

Subchapter links

Try It p.426-428

Self-Assessment for Concepts & Skills p.428

Self-Assessment for Problem Solving p.429

Review & Refresh p.430

Concepts, Skills, & Problem Solving p.430-432

Exercise 9 Page 430

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