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

Slides:



Advertisements
Similar presentations
Find the volumes of prisms and cylinders.
Advertisements

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–9) Main Idea Key Concept: Volume of a Cylinder Example 1:Find the Volume of a Cylinder Example.
Volume: Prisms and Cylinders
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.
Do Now /30/ B Volume of Prisms.
SURFACE AREA & VOLUME.
Lesson Menu Main Idea and New Vocabulary Key Concept:Surface Area of a Prism Example 1:Surface Area of a Prism Example 2:Surface Area of a Prism Key Concept:Surface.
Lesson Menu Main Idea and New Vocabulary Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.
Splash Screen.
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.
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.
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:
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.
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.
Splash Screen. Then/Now You have already found the areas of rectangles and triangles. (Lesson 5–1) Find volumes of prisms. Find volumes of composite figures.
Finding Volumes of Prisms
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–7) Then/Now New Vocabulary Key Concept: Area of a Circle Example 1: Find Areas of Circles.
0-9: Volume.
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.
Lesson 5 MI/Vocab prism base height cylinder volume Find the volumes of prisms and cylinders. The volume of a solid is the number of cubic units contained.
Volume SPI I CAN find the volume of a PRISM and a CYLINDER.
Splash Screen. Then/Now You found areas of polygons. Find lateral areas and surface areas of prisms. Find lateral areas and surface areas of cylinders.
5 minute check 5 Click the mouse button or press the Space Bar to display the answers.
Volume and Surface Area. Volume of a Prism Answer: The volume of the prism is 1500 cubic centimeters. Find the volume of the prism.
Transparency 2 Click the mouse button or press the Space Bar to display the answers.
5 minute check 5 Click the mouse button or press the Space Bar to display the answers.
Main Idea and New Vocabulary Key Concept: Pythagorean Theorem
Calculate Volume of Prisms & Cylinders
Find the volume of the box by determining
Volume of Prisms and Cylinders
Splash Screen.
Splash Screen.
Splash Screen.
Volumes of Pyramids and Cones
Main Idea and New Vocabulary Key Concept: Volume of a Pyramid
Splash Screen.
Surface Areas of Prisms and Cylinders
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.
Volume of Prisms and Cylinders
Splash Screen.
Main Idea and New Vocabulary Key Concept: Area Formulas
Find volumes of cylinders.
Splash Screen.
Main Idea and New Vocabulary Key Concept: Circumference of a Circle
Find lateral areas and surface areas of prisms.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Main Idea and New Vocabulary Key Concept: Surface Area of a Pyramid
Find the volumes of cones, and spheres.
Main Idea and New Vocabulary Key Concept: Pythagorean Theorem
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Splash Screen.
Main Idea and New Vocabulary Key Concept: Area of a Circle
Main Idea and New Vocabulary Key Concept: Volume of a Cylinder
Key Concept 4.
Volumes of Pyramids and Cones
Splash Screen.
Surface Areas of Prisms and Cylinders
Surface Areas and Volumes of Spheres
Volumes of Prisms and Cylinders
The volume of a three-dimensional figure is the number of cubes it can hold. Each cube represents a unit of measure called a cubic unit.
Main Idea and New Vocabulary Key Concept: Surface Area of a Prism
Volumes of Prisms and Cylinders
Volume of Prisms and Cylinders
Objective: To find…. Find volumes of prisms and cylinders.
volume of prisms and cylinders
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Five-Minute Check (over Lesson 11–1) Mathematical Practices Then/Now
volume of prisms and cylinders
Five-Minute Check (over Lesson 11–2) Mathematical Practices Then/Now
Presentation transcript:

Main Idea and New Vocabulary Key Concept: Volume of a Prism Example 1: Find the Volume of Prisms Example 2: Find the Volume of Prisms Key Concept: Volume of a Cylinder Example 3: Find the Volume of a Cylinder Example 4: Real-World Example: Find the Volume of a Composite Solid Lesson Menu

Find the volumes of prisms and cylinders. composite solid Main Idea/Vocabulary

Key Concept

Find the Volume of Prisms Find the volume of the rectangular prism. V = Bh Volume of a prism V = (b ● w)h The base is a rectangle, so B = b ● w. V = (5 ● 7)11 b = 5, w = 7, h = 11 V = 385 Simplify. Answer: The volume is 385 cubic inches. Example 1

Find the volume of the rectangular prism. A. 26 mm3 B. 70 mm3 C. 133 mm3 D. 490 mm3 Example 1 CYP

Find the Volume of Prisms Find the volume of the triangular prism. V = Bh Volume of a prism The base is a triangle, so B = ● 15 ● 9. The height of the prism is 4. V = 270 Simplify. Answer: The volume is 270 cubic feet. Example 2

Find the volume of the triangular prism. A. 160 cm3 B. 208 cm3 C. 240 cm3 D. 480 cm3 Example 2 CYP

Key Concept 4

Find the Volume of a Cylinder Find the volume of the cylinder. Round to the nearest tenth. V = r2h Volume of a cylinder V =  • 32 • 12 Replace r with 3 and h with 12. V  339.3 cm3 Simplify. Use a calculator. Answer: The volume is about 339.3 cubic centimeters. Example 3

Find the volume of the cylinder. Round to the nearest tenth. A. 78.5 in3 B. 219.9 in3 C. 549.8 in3 D. 2,199.1 in3 Example 3 CYP

Find the Volume of a Composite Solid TOYS A toy box contains a wooden block with a circular hole through its middle. Find the volume of the block. The block is made of one rectangular prism and one cylinder. Find the volume of each solid. Then subtract to find the volume of the block. Example 4

Find the Volume of a Composite Solid Rectangular Prism V = Bh V = (6 • 3)4 or 72 Cylinder V = ( • 12)3 or about 9.4 Answer: The volume of the block is about 72 – 9.4 or 62.6 cubic centimeters. Example 4

PEGS A peg has a circular hole through its middle PEGS A peg has a circular hole through its middle. Find the volume of the peg. A. 113.1 cm3 B. 301.6 cm3 C. 804.2 cm3 D. 904.8 cm3 Example 4 CYP