# Surface Area of Prisms and Cylinders

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Surface Area of Prisms and Cylinders
Chapter 8 Section 8

Using a Net What is a net? A two-dimensional pattern that you can fold to make a three-dimensional figure. Let’s Look

Surface Area Definition: the sum of the areas of the faces of a shape.

Surface Area of a Triangular Prism

Surface Area of a Triangular Prism #2
9in 6in 4in 7in

Warm-Up 48 ft2 Find the total surface area of this shape 5ft 4ft 3ft

Formula for Area of Triangular Prism: SA = wh + lw + lh + ls

Formula for Surface Area of Triangular Prism: SA = wh + lw + lh + ls
Find the surface area of a triangular prism with the following dimensions: w = 10cm l = 6cm h = 8cm s = 5cm

Formula for Surface Area of Triangular Prism: SA = wh + lw + lh + ls
Find the surface area of a triangular prism with the following dimensions: w = 3in l = 4in h = 6in s = 2in

Surface Area of a Rectangular Prism

Surface Area of a Rectangular Prism # 2
5in 6in 5in

Warm-Up Find the total surface area of this shape 5m 5m 5m

Warm-Up 150 m2 Find the total surface area of this shape 5m 5m 5m 25m2

Warm-Up Find the total surface area of this shape 10ft 3ft 5ft

Warm-Up 190 ft2 Find the total surface area of this shape 10ft 5ft 3ft

Surface Area of a Rectangular Prism = 2(wh + lh + lw)
Find the surface area: w = 3in l = 4in h = 6in

Surface Area of a Rectangular Prism = 2(wh + lh + lw)

Surface Area of a Cylinder: SA: 2 𝝅 𝒓 𝟐 + 𝝅𝒅𝒉
In other words: Area of the circle (there are two circles). Area of rectange  length × width (height) × (cirumference)

Surface Area of Cylinders

Surface Area of Cylinders

Warm-Up Find the total surface area of this shape in2 6in 10in

Warm-Up 244.92 in2 Find the total surface area of this shape 10in 6in

Surface Area of a Cylinder: SA: 2 𝝅 𝒓 𝟐 + 𝝅𝒅𝒉
Find the surface area of the cylinder: h = 12in d = 6in

Surface Area of a Cylinder: SA: 2 𝝅 𝒓 𝟐 + 𝝅𝒅𝒉
Find the surface area of the cylinder: h = 8cm d = 4cm

Quick Check (I’m collecting this!!)
Pg. 445 in book Numbers 5, 7, 15 NO HOMEWORK! 