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Envision Math 2.0: Grade 6, Volume 2 View details

Review

Exercise 5 Page 445

Use the formula for the surface area of a rectangular prism.

282in.^2

Practice makes perfect

Let's draw a diagram to help us visualize this rectangular prism.

Our prism has the dimensions l= 12, w= 7, and h= 3. To calculate the surface area of a rectangular prism, we can use the following formula. SA=2(l w)+2(l h)+2(wh) The terms inside the parentheses 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. Now we substitute the dimensions of our prism into our formula to calculate SA.

SA=2(l w)+2(l h)+2(wh)

SubstituteValues

Substitute values

SA=2(( 12)( 7))+2(( 12)( 3))+2(( 7)( 3))

Multiply

SA=2(84)+2(36)+2(21)

Multiply

SA=168+72+42

AddTerms

Add terms

SA=282

The surface area is 282in.^2