7-2 Surface Areas of Prisms and Cylinders

Video Tutor Help Identifying a solid from a netIdentifying a solid from a net (7-2) Finding surface areas of prisms using a formulaFinding surface areas of prisms using a formula (7-2) Finding surface areas of cylinders using a formulaFinding surface areas of cylinders using a formula (7-2) Finding surface areas of prisms using a netFinding surface areas of prisms using a net (7-2) Drawing a Net Surface Area of a Prism Surface Area of a Cylinder Khan Academy Find the surface area of a triangular prism

Video Tutor Help Naming a three-dimensional figure Drawing a net Finding surface areas of prisms using a net Finding surface areas of cylinders using a net Finding the volumes of prisms Finding the volumes of cylinders

Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 7-2 Practice 7-2 Guided Problem Solving 7-2

Vocabulary Practice Vocabulary 7A: Graphic Organizer Vocabulary 7B: Reading Comprehension Vocabulary 7C: Reading/Writing Math Symbols Vocabulary 7D: Visual Vocabulary Practice Vocabulary 7E: Vocabulary C Vocabulary 7F: Vocabulary Review Puzzle Vocabulary (Electronic) Flash Cards Geometry

Additional Lesson Examples Step-by-Step Examples Lesson 7-2

Lesson Readiness Lesson Quiz Problem of the Day Lesson 7-2

Draw a net for the square prism. LESSON 7-2 Begin by labeling the bases and faces. Draw the remaining faces. First draw one base.Then draw one face that connects both bases. Next, draw the other base. Surface Areas of Prisms and Cylinders Additional Examples

Find the surface area of the prism. LESSON 7-2 Then find the total area of the five faces. top bottom left side front side back side 10(26) + 10(24) + 10(10) + (10)(24) + (10)(24) = The surface area of the triangular prism is 840 cm 2. First draw a net for the prism. Surface Areas of Prisms and Cylinders Additional Examples

Example 4-1a Find the surface area of the rectangular prism. Write the formula. Substitution Simplify. Answer:The surface area of the rectangular prism is 1868 square centimeters. Surface Area of Rectangular Prisms

Example 4-2a Find the surface area of the triangular prism. Find the area of each face. Bottom Left side Right side Two bases Surface Area of a Triangular Prism

Example 7-2a CAMPING A family wants to reinforce the fabric of its tent with a waterproofing treatment. Find the surface area, including the floor, of the tent below. A triangular prism consists of two congruent triangular faces and three rectangular faces. Surface Area of a Triangular Prism

Example 7-2b bottom left side right side two bases Add to find the total surface area. Answer: The surface area of the tent is about square feet. Draw and label a net of this prism. Find the area of each face.

Example 4-3a Find the surface area of the cylinder. Round to the nearest tenth. Formula for surface area of a cylinder Replace r with 2.5 and h with 8. Simplify. Answer:The surface area of the cylinder is about square meters. Surface Area of a Cylinder

Example 7-3a Find the surface area of the cylinder. Round to the nearest tenth. Surface area of a cylinder Replace r with 2.5 and h with 2. Simplify. Answer: The surface area is about 70.7 square meters. Surface Area of a Cylinder

Find the surface area of the cylinder. Round to the nearest tenth. LESSON 7-2 Step 1 Draw a net. Step 2 Find the area of one circle. A = r 2 = (3) 2 = (9) cm 2 Surface Areas of Prisms and Cylinders Additional Examples

(continued) LESSON 7-2 Step 3Find the area of the rectangle. (2 r)h = 2 (3)(2) = cm 2 Step 4Add the areas of the two circles and the rectangle. Surface area = = 94.2 The surface area of the cylinder is about 94.2 cm 2. Surface Areas of Prisms and Cylinders Additional Examples