Objective: To find…. Find volumes of prisms and cylinders.

Slides:

Advertisements

Similar presentations

Volume: Prisms and Cylinders Prisms Volume of a Prism = Area of the Base Height h.

Advertisements

10 m² 4 m =5 m( A = 5 m. The same formula (V = Bh) that is used to find the volume of rectangular prisms and cylinders, can also be used to find the volume.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–5) CCSS Then/Now New Vocabulary Key Concept: Surface Area of a Sphere Example 1: Surface.

A sphere is the set of all points that are a given distance from a given point, the center. To calculate volume of a sphere, use the formula in the blue.

Find the surface area of a rectangular prism with length of 6 inches, width of 5 inches, and height of 4.5 inches. Round to the nearest tenth. Find the.

11-5 Volumes of Pyramids and Cones. Volume of a Pyramid The volume of a pyramid is one third the product of the area of the base and the height of the.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) CCSS Then/Now Key Concept: Volume of a Pyramid Example 1:Volume of a Pyramid Key Concept:

Chapter 13 Volume.

Find the surface area of each. S = (Pℓ)/2 + B = (20×3)(15)/2 + 20√( )/2 = in 2 S = (Pℓ)/2 + B = (10×6)(14)/2 + (8.7)(10×6)/2 = ft.

Chapter 12.4 and 12.5 Volume of Prisms, Cylinders, Pyramids, and Cones.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–3) CCSS Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept:

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–3) Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept: Volume.

Ch 12.3 S = Ph + 2B = (2π)(1.25) × (5) + 2(π)( ) = π L = Ph = (2π)(5) × (4) = 40π Find the lateral area of the cylinder. Find the surface area.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–3) CCSS Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept:

VOLUME OF SOLIDS. VOLUME OF PRISMS V = Area of Base x Height V = 6 cm 8 cm 10 cm All measurements must be in the same UNIT before doing ANY calculations.

Over Lesson 12–3 A.A B.B C.C D.D 5-Minute Check 2 Find the volume of the cylinder.

Finding Volumes of Prisms

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) NGSSS Then/Now Key Concept: Volume of a Pyramid Example 1: Volume of a Pyramid Key Concept:

Chapter 12 & 13 Lateral and Surface Areas & Volume.

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.

Volume of 3D Solids. Volume The number of cubic units needed to fill the shape. Find the volume of this prism by counting how many cubes tall, long, and.

12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

Volume of cones.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–4) Then/Now Key Concept: Volume of a Pyramid Example 1:Volume of a Pyramid Key Concept: Volume.

Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure –Answer must be in cubic units ex. in 3.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–3) NGSSS Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept:

LESSON If the height of a regular square prism is 29 thumbs and the base edges are 40 thumbs, find the surface area and the volume. 7,840 thumbs 2 46,400.

Volumes of Prisms and Cylinders LESSON 12–4. Lesson Menu Five-Minute Check (over Lesson 12–3) TEKS Then/Now Key Concept : Volume of a Prism Example 1:

Volume and Surface Area. Volume of a Prism Answer: The volume of the prism is 1500 cubic centimeters. Find the volume of the prism.

VOLUME OF A SOLID. VOLUME OF A PRISM OR CYLINDER V = Bh Where B is the area of the base and h is the height of the solid.

Volume of Pyramids and Cones Section 9.5. Objectives: Find the volumes of pyramids and cones.

Surface Areas and Volumes of Spheres LESSON 12–6.

9-5 Volume of Prisms and Cylinders Today’s Goal: Learn to find the volume of prisms and cylinders.

Surface Areas of Pyramids and Cones

Calculate Volume of Prisms & Cylinders

Find the volume of the box by determining

Volumes of Pyramids and Cones

Good morning Please take out your homework and a correcting pen.

Main Idea and New Vocabulary Key Concept: Volume of a Pyramid

Find the volume of the cone. Round to the nearest tenth if necessary.

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.

Volume Any solid figure can be filled completely with congruent cubes and parts of cubes. The volume of a solid is the number of cubes it can hold. Each.

Find volumes of cylinders.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Five-Minute Check (over Lesson 12–3) Then/Now

Volume of Prisms and Pyramids

Main Idea and New Vocabulary Key Concept: Volume of a Prism

Five-Minute Check (over Lesson 12–4) Then/Now

Volumes of Pyramids and Cones

Volume of Prisms and Pyramids

Volumes of Prisms and Cylinders

Chapter 10 Extension Objective: To find missing dimensions

Finding the Volume of Any Prism or Cylinder and Any Pyramid or Cone

Volume of Prisms.

Volumes of Prisms and Cylinders

12.4 Volume of Prisms and Cylinders

12.4 Volume of Prisms and Cylinders

Volume of Prisms and Pyramids

Skills Check Formulas.

Volume of Prisms. Volume of Prisms V = Bh B = area of BASE h = HEIGHT of the solid (use different formulas according to the shape of the base) h =

Five-Minute Check (over Lesson 11–3) Mathematical Practices Then/Now

Volume of Prisms and Pyramids

Five-Minute Check (over Lesson 11–1) Mathematical Practices Then/Now

Five-Minute Check (over Lesson 11–2) Mathematical Practices Then/Now

Presentation transcript:

Objective: To find…. Find volumes of prisms and cylinders. Find volumes of pyramids and cones.

Concept

Find the volume of the prism. Volume of a Prism Find the volume of the prism. V Bh Volume of a prism 1500 Simplify. Answer: The volume of the prism is 1500 cubic centimeters. Example 1

Find the volume of the prism. A. 6480 in3 B. 8100 in3 C. 3240 in3 D. 4050 in3 Example 1

Concept

Find the volume of the cylinder to the nearest tenth. Volume of a Cylinder Find the volume of the cylinder to the nearest tenth. Volume of a cylinder = (1.8)2(1.8) r = 1.8 and h = 1.8 ≈ 18.3 Use a calculator. Answer: The volume is approximately 18.3 cm3. Example 2

Find the volume of the cylinder to the nearest tenth. A. 62.8 cm3 B. 628.3 cm3 C. 125.7 cm3 D. 1005.3 cm3 Example 2

Concept

Find the volume of the oblique cylinder to the nearest tenth. Volume of an Oblique Solid Find the volume of the oblique cylinder to the nearest tenth. To find the volume, use the formula for a right cylinder. Volume of a cylinder r 15, h 25 Use a calculator. Answer: The volume is approximately 17,671.5 cubic feet. Example 3

Find the volume of the oblique cylinder to the nearest tenth. A. 1520.5 cm3 B. 16,725.8 cm3 C. 5324 cm3 D. 8362.9 cm3 Example 3

Concept

Find the volume of the square pyramid. Volume of a Pyramid Find the volume of the square pyramid. Volume of a pyramid s 3, h 7 21 Multiply. Answer: The volume of the pyramid is 21 cubic inches. Example 1

Brad is building a model pyramid for a social studies project Brad is building a model pyramid for a social studies project. The model is a square pyramid with a base edge of 8 feet and a height of 6.5 feet. Find the volume of the pyramid. A. 416 ft3 B. C. D. Example 1

Concept

A. Find the volume of the oblique cone to the nearest tenth. Volume of a Cone A. Find the volume of the oblique cone to the nearest tenth. Example 2A

Answer: The volume of the cone is approximately 2168.0 cubic feet. Volume of a Cone Volume of a cone r = 9.1, h = 25 ≈ 2168.0 Use a calculator. Answer: The volume of the cone is approximately 2168.0 cubic feet. Example 2A

B. Find the volume of the cone to the nearest tenth. Volume of a Cone B. Find the volume of the cone to the nearest tenth. Example 2B

Answer: The volume of the cone is approximately 314.2 cubic inches. Volume of a Cone Volume of a cone r = 5, h = 12 ≈ 314.2 Use a calculator. Answer: The volume of the cone is approximately 314.2 cubic inches. Example 2B

A. Find the volume of the oblique cone to the nearest tenth. A. 444.4 m3 B. 27,463.2 m3 C. 3051.5 m3 D. 9154.4 m3 Example 2A

B. Find the volume of the cone to the nearest tenth. A. 3015.9 m3 B. 125.7 m3 C. 1005.3 m3 D. 251.3 m3 Example 2B