body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

Envision Math 2.0: Grade 6, Volume 2 View details

Review

Exercise 6 Page 445

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

214cm^2

Practice makes perfect

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

Our prism has the dimensions l= 5, w= 6, and h= 7. 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(( 5)( 6))+2(( 5)( 7))+2(( 6)( 7))

Multiply

SA=2(30)+2(35)+2(42)

Multiply

SA=60+70+84

AddTerms

Add terms

SA=214

The surface area is 214cm^2.