Envision Math 2.0: Grade 6, Volume 2
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Envision Math 2.0: Grade 6, Volume 2 View details
Review

Exercise 1 Page 445

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

126ft^2

Practice makes perfect

Let's look at our rectangular prism to find the length l, width w, and height h.

Our prism has the dimensions l= 6, w= 3, and h= 5. 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)
SA=2(( 6)( 3))+2(( 6)( 5))+2(( 3)( 5))
SA=2(18)+2(30)+2(15)
SA=36+60+30
SA=126
The surface area is 126ft^2.