Warm Up Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. rectangular pyramid 7 ft by 8 ft by 10 ft tall 186.7 ft3 2. cone with radius.

Slides:



Advertisements
Similar presentations
9-4 Surface Areas of Prisms, Cylinders, and Spheres Warm Up
Advertisements

Surface Area of Prisms and Cylinders 10-4 Holt Geometry.
8-7 Surface Area of Prisms and Cylinders Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Preview Warm Up California Standards Lesson Presentation.
Holt CA Course Volume of Pyramids and Cones Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
Surface Area of 10-4 Prisms and Cylinders Warm Up Lesson Presentation
Entry Task.
Warm Up Find the perimeter and area of each polygon.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
10-4 Surface Areas of Prisms and Cylinders Warm Up Problem of the Day
9-2 Volume of Prisms and Cylinders Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Volumes of Prisms and Surface Area #31. Vocabulary Volume is the number of cubic units needed to fill a space. V = lwh Ex:Volume is expressed in cubic.
Surface Area: Prisms and Cylinders
Surface Area of Prisms and Cylinders. Vocabulary Net- the pattern you make if you unfold a three-dimensional figure and lay it out flat. Surface area-
Surface Area of 12.2 Prisms and Cylinders Warm Up Lesson Presentation
Volume of Pyramids and Cones
Holt CA Course Three-Dimensional Figures Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.
8-8 Volume of Prisms and Cylinders Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.
8-10 Surface Area of Prisms and Cylinders Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes.
Surface Area 10-7 Warm Up Problem of the Day Lesson Presentation
9-3 Volume of Pyramids, Cones, and Spheres Warm Up Problem of the Day
9-5 Volume of Prisms and Cylinders Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.
9-5 Volume of Prisms and Cylinders Warm Up Identify the figure described. 1. two triangular faces and the other faces in the shape of parallelograms 2.
8-8 Volume of Prisms and Cylinders Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.
10.9 Surface Area – I can find the surface areas of prisms, pyramids, and cylinders.
Students will be able to solve for perimeter, area and volume by….
Holt CA Course Three-Dimensional Figures Warm Up Warm Up Lesson Presentation California Standards Preview.
Holt Geometry 10-4 Surface Area of Prisms and Cylinders 10-4 Surface Area of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
Silently get started on the pink worksheet. Today’s Plan: -Warm-up -Surface Area LT: I will calculate the surface area of prisms. 04/19/11 Surface Area.
10-4 Surface Area of Prisms and Cylinders Warm Up Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. rectangular pyramid 7 ft by 8.
Holt CA Course Surface Area of Prisms and Cylinders MG2.1 Use formulas routinely for finding the perimeter and area of basic two- dimensional figures.
Warm Up Find the perimeter and area of each polygon. 1. a rectangle with base 14 cm and height 9 cm 2. a right triangle with 9 cm and 12 cm legs 3. an.
8-7 Surface Area Learn to find the surface areas of prisms, pyramids, and cylinders.
Surface Area of Pyramids and Cones
Holt McDougal Geometry 10-4 Surface Area of Prisms and Cylinders 10-4 Surface Area of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation.
Course Volume of Prisms and Cylinders 10-2 Volume of Prisms and Cylinders Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson.
9-8 Surface Area Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
If the surface area of a cylinder was covered in paper, and then the paper was cut apart and set flat on your desk, what shapes would you have in front.
10-7 Surface Area Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.
Surface Area If you remove the surface from a three-dimensional figure and lay it out flat, the pattern you make is called a net. Nets allow you to see.
Warm Up Find the perimeter and area of each polygon. 1. a rectangle with base 14 cm and height 9 cm 2. a right triangle with 9 cm and 12 cm legs 3. an.
Holt CA Course Surface Area Warm Up Warm Up Lesson Presentation California Standards Preview.
Surface Areas and Volumes of Prisms and Cylinders.
Cones and Pyramids. What are cones and pyramids? A pyramid is a polyhedron with one base – A polyhedron is a solid with flat surfaces that are shapes.
Find the volume of the following prisms: Math 7 MIT Grace Wilday Junior High School “Raise the Praise”
Holt McDougal Geometry 10-4 Surface Area of Prisms and Cylinders 10-4 Surface Area of Prisms and Cylinders Holt Geometry Warm Up Warm Up Lesson Presentation.
9-6 Surface Area of Prisms and Cylinders 2/12/15 HW--- WB page 50,, Warm –up IXL P29 Have pg 49 out ready to check and notebook out ready to Take notes.
9-6 Surface Area of Prisms and Cylinders Warm Up Answer these three questions with vocabulary terms you have learned this chapter: 1. What is the distance.
Warm Up Find the perimeter and area of each polygon.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up Find the volume of each figure. Round to the nearest tenth, if necessary. 1. a square prism with base area 189 ft2 and height 21 ft 2. a regular.
Preview Warm Up California Standards Lesson Presentation.
Prisms and cylinders have 2 congruent parallel bases.
10-4 Surface Areas of Prisms and Cylinders Warm Up Problem of the Day
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm UP Name the base, Name the figure
Volume of Prisms and Cylinders
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Volume of Pyramids and Cones
Preview Warm Up California Standards Lesson Presentation.
Objectives Learn and apply the formula for the surface area of a prism. Learn and apply the formula for the surface area of a cylinder.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Surface Area 10-9 Warm Up Problem of the Day Lesson Presentation
Surface Area of 10-4 Prisms and Cylinders Warm Up Lesson Presentation
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
– I can find the surface areas of prisms, pyramids, and cylinders
Surface Area 10-7 Warm Up Problem of the Day Lesson Presentation
Presentation transcript:

Warm Up Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. rectangular pyramid 7 ft by 8 ft by 10 ft tall 186.7 ft3 2. cone with radius 2 ft and height 3 ft 12.6 ft3 3. triangular pyramid with base area of 54 ft2 and height 9 ft 162 ft3

Problem of the Day The volume of a 10-meter-tall square pyramid is 120 m3. What is the length of each side of the base? 6 m

Learn to find the surface area of prisms and cylinders.

If you remove the surface from a three- dimensional figure and lay it out flat, the pattern you make is called a net. Nets allow you to see all the surfaces of a solid at one time. You can use nets to help you find the surface area of a three-dimensional figure. Surface area is the sum of the areas of all of the surfaces of a figure expressed in square units.

The lateral faces of a prism are parallelograms that connect the bases The lateral faces of a prism are parallelograms that connect the bases. The lateral area of a prism is the sum of the areas of the lateral faces.

Additional Example 1: Finding the Surface Area of a Prism Find the surface area of the prism. S = 2B + Ph Use the formula. S = 2(7)(15) + (44)(9) Substitute. P = 2(7) + 2(15) = 44 S = 210 + 396 S = 606 The surface area of the prism is 606 in2.

Find the surface area of the prism. Check It Out: Example 1 14 in. 8 in. 10 in. Find the surface area of the prism. S = 2B + Ph Use the formula. S = 2(8)(14) + (44)(10) Substitute. P = 2(8) + 2(14) = 44 S = 224 + 440 S = 664 The surface area of the prism is 664 in2.

The lateral area of a cylinder is the curved surface that connects the two bases. The net of a cylinder can be drawn so that the lateral area forms a rectangle with the same height as the cylinder. The length of the rectangle is equal to the circumference of the base of the height.

Additional Example 2: Finding the Surface Area of a Cylinder Find the surface area of the cylinder to the nearest tenth. Use 3.14 for . S = 2r2 + 2rh Use the formula. S  (2 · 3.14 · 62) + (2 · 3.14 · 6 · 8.3) Substitute. S  226.08 + 312.744 Multiply. S  538.824 Add. S  538.8 Round. The surface area of the cylinder is about 538.8 ft2.

Check It Out: Example 2 Find the surface area of the cylinder to the nearest tenth. Use 3.14 for . 9 ft 20 ft S = 2r2 + 2rh Use the formula. S  (2 · 3.14 · 92) + (2 · 3.14 · 9 · 20) Substitute. S  508.68 + 1130.4 Multiply. S  1,639.08 Add. S  1,639.1 Round. The surface area of the cylinder is about 1,639.1 ft2.

Lesson Quiz Find the surface area of each figure to the nearest tenth. 1. 2. 100.5 ft2 352 ft2 3. The jewelry box is a composite figure. What is its surface area to the nearest tenth? Use 3.14 for  117.7 in2