**Surface area** is the total area of the faces of a solid figure. To find the surface area of a prism you must add the area of all of the faces of the given prism. Better yet, you can use the formula:

**Surface Area = 2(b•h) + 2(b•w) + 2(h•w)**

**Example 1:
**Find the Surface Area of the following prism –

One way to solve this problem would be to find the area of all the faces and add them all up!

*TIP* You can “unfold” the prism and use a “net” to help you find the measurement of all the sides easier.

**Step 1:** Find the area of all the faces:

Top- (6 • 5)= 30 sq in

Bottom- (6 • 5)= 30 sq in

Front- (6 • 4)= 24 sq in

Back- (6 • 4)= 24 sq in

Left- (5 • 4)= 20 sq in

Right- (5 • 4)= 20 sq in

**Step 2:** Add all the face areas together

30 + 30 + 24 + 24 + 20 + 20 = **148 sq in**

Another way to solve this problem is to use the formula for surface area.

**Step 1:** Write the formula for Surface Area

S.A. = 2(b•h) + 2(b•w) + 2(h•w)

**Step 2:** Substitute the variable with the given information from the problem.

S.A. = 2(6•4) + 2(6•5) + 2(4•5)

**Step 3:**** **Solve step by step

S.A. = 2(6•4) + 2(6•5) + 2(4•5)

S.A. = 2(24) + 2(30) + 2(20)

S.A. = 48 + 60 + 40

S.A. = **148 in ^{2}**