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Warm Up 5.2, Day 1 Find the total surface area of the figure.

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Presentation on theme: "Warm Up 5.2, Day 1 Find the total surface area of the figure."— Presentation transcript:

1 Warm Up 5.2, Day 1 Find the total surface area of the figure. Find the height of the cylinder if its surface area is mm2. What is the lateral surface area of the cylinder?

2 Find the surface area of pyramids and cones (12.3)
Unit 5: Surface Area and Volume Target 5.2, Day 1 Find the surface area of pyramids and cones (12.3)

3 Complete the analogy: Prisms : __________________ as Cylinders : __________________ Pyramids and cones are solids that only have one ______________. The lateral faces of a pyramid are all _______________ and meet at a point called the _____________ of the pyramid.

4 Like with calculating the surface areas of prisms and cylinders, we will still begin by figuring out the area of the base (b), perimeter of the base (p), and height of the pyramid/cone (h). We will add one new dimension as well, called the ______________________ (l).

5 LSA = ______ TSA = ______
To determine the surface area of regular pyramids and right cones, use the formula: LSA = ______ TSA = ______ where B = area of the base, p = perimeter of the base, h = height of the figure, and l = slant height of the figure.

6 Find the total surface area of the square pyramid shown.
Identify the base. Identify the slant height of the figure (calculate if necessary). Calculate the area and perimeter of the base.

7 Oftentimes with pyramids and cones, you will not be given enough information in the diagram to calculate the surface area. What can we do to find the missing dimensions in these figures? Calculate the lateral surface area of the cone. Then find the total surface area.

8 In order to take down a werewolf, the bullet shown below needs to be coated with silver paint. Silver paint costs $15 per square inch. How much will it cost to paint one bullet?

9 Warm Up 5.2, Day 2 Find the surface area of the figure. Find the total surface area of the figures.

10 Find the surface area of Spheres (12.6)
Unit 5: Surface Area and Volume Target 5.2, Day 2 Find the surface area of Spheres (12.6)

11 To determine the surface area of a sphere, use the formula:
SA = __________ where r = radius. Find the surface area of the sphere.

12 A sphere has a diameter of 21 ft
A sphere has a diameter of 21 ft. What is the surface area of the sphere?

13 A _______________________ is half of a sphere.
Find the surface area of the hemisphere.

14 Work backwards to the find the diameter of a sphere if its surface area is 20.25π square centimeters.

15 The great circle shown has a circumference of 10π inches
The great circle shown has a circumference of 10π inches. Find the radius of the sphere. Then find the surface area of the sphere.

16 The walls of the space capsule pictured below need to be insulated
The walls of the space capsule pictured below need to be insulated. If insulation costs $15 per square foot, how much will it cost to insulate all the walls?


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