Volume of Prisms and Cylinders Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing.

Slides:



Advertisements
Similar presentations
Warm Up.
Advertisements

What Is Volume ? The volume of a solid is the amount of space inside the solid. Consider the cylinder below: If we were to fill the cylinder with water.
Objectives  Find volumes of prisms.  Find volumes of cylinders.
VOLUMES OF CYLINDERS, PYRAMIDS, AND CONES ADAPTED FROM WALCH EDUCATION.
EXAMPLE 1 Find the number of unit cubes 3- D PUZZLE
EXAMPLE 4 Find the volume of an oblique cylinder Find the volume of the oblique cylinder. SOLUTION Cavalieri’s Principle allows you to use Theorem 12.7.
Find the volume of an oblique cylinder
Volumes Of Solids. 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.
11.4 Volumes of Prisms and Cylinders
Chapter 11.4 Volumes of Prisms and Cylinders. Vocabulary Volume = the space that a figure occupies. It is measured in cubic units.
Assignment P : 1, 2, odd, 24, 26, 32, 33, 35, 36 P : 1, 2-24 even, 28, 30-36, 40, 41 Challenge Problems.
Warm-Up Exercises 1. Regular hexagon, side length 14 cm ANSWER cm 2 Find the area of each polygon or circle.
12.4 Volume of Prisms and Cylinders
Volume of Prisms and Cylinders. Volume – The volume of a figure is the measure of the amount of space that a figure encloses. Volume is measured in cubic.
EOC Practice 1. Describe the cross section. a. Cube b. trapezoid
VOLUME. So far, we have learned about length. This is a measure of 1 dimension.
11.5 Explore Solids & 11.6 Volume of Prisms and Cylinders
Warm-up Find the surface area of a regular pentagonal pyramid.
Warm up Which solid has more volume? Show work as evidence. The cylinder has more volume.
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.
Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure –Answer must be in cubic units ex. in 3.
12-3: Volumes of Prisms and Cylinders. V OLUME : the measurement of space within a solid figure Volume is measured in cubic units The volume of a prism.
Describe how to find the volume of a prism. Give at least 3 examples. Describe how to find the volume of a cylinder. Give at least 3 examples. Describe.
Sec. 11 – 4 Volumes of Prisms & Cylinders Objectives: 1) To find the volume of a prism. 2) To find the volume of a cylinder.
Date: 12.4 Notes: Volumes of Prisms and Cylinders Lesson Objective: Find volumes of prisms and cylinders. CCSS: G.GMD.1, 3 You will need: ruler, calculator.
Objectives: Calculate the Volume of Prisms Calculate the Volume of Cylinders.
Warm-Up Exercises 1. Trapezoid, bases 12 ft and 18 ft, height 3 ft 2. Circle, diameter 8.2 in. ANSWER 324 ft 2 ANSWER 7.27 in. 2 Find the area of each.
11-4 Volumes of Prisms and Cylinders. Rotation, Length, Area There are four different types of measurement in geometry. Three of these are… ROTATION:
Starter Activity: Perimeter 1 Calculate the distance around this shape (all angles are right angles)
Volumes Of Solids. 14cm 5 cm 7cm 4cm 6cm 10cm 3cm 4cm 8m 5m.
1 Volume: Lesson Objectives Understand the meaning of Volume Recognise the shapes of Prisms Determine the volume of Prisms.
12.4 Volume of Prisms and Cylinders Goal: Find volumes of prisms and cylinders.
Volumes of Prisms & Cylinders
EXPLORING VOLUME The volume of a solid is the number of cubic units
Find the area of each polygon or circle.
1. PRISMS The two shaded faces of the prism shown are its bases.
Find the area of each polygon or circle.
How To Calculate the Volumes Of Solids
Volume of Prisms and Cylinders
Volume of Prisms and Cylinders
How much can each glass hold?
Volume of Prisms & Cylinders
Volumes of Pyramids and Cones
9-2A Volume of Prisms What is volume?
Ch 12 Surface Area and Volume of Solids
12.4 Volume of Prisms & Cylinders
Chapter 11.4 Volumes of Prisms and Cylinders
Volumes Of Solids. 7cm 5 cm 14cm 4cm 3cm 10cm.
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.
10.4 Volumes of Prisms & Cylinders
12.4 Volume of Prisms & Cylinders
10-6 Volume of Prisms & Cylinders
Measurement: Volume & Capacity
12-4 Volume of Prisms and Cylinders
March 2, Math 102 OBJECTIVE: Students will be able to calculate the volume of prisms and cylinders, using a given formula and a calculator AIM:
Which solid has more volume? Show work as evidence.
Volumes of Prisms and Cylinders
Volume of Prisms & Cylinders
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.
11.6 Volume of Prisms and Cylinders
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.
12.4 Volume of Prisms and Cylinders
12.4 Volume of Prisms and Cylinders
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.
Objective: To find…. Find volumes of prisms and cylinders.
EXPLORING VOLUME The volume of a solid is the number of cubic units
Volume of Pyramids and Cones
Which solid has more volume? Show work as evidence.
Five-Minute Check (over Lesson 11–1) Mathematical Practices Then/Now
0-9 Volume.
Presentation transcript:

Volume of Prisms and Cylinders Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing how to find the volumes of right prisms and right cylinders.

Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing how to find the volumes of right prisms and right cylinders. Volume Formulas

Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing how to find the volumes of right prisms and right cylinders. EXAMPLE 1: Find the volume of the puzzle piece in cubic units.

Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing how to find the volumes of right prisms and right cylinders. EXAMPLE 2: Find the volume of the right trapezoidal prism.

Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing how to find the volumes of right prisms and right cylinders. EXAMPLE 3: Find the volume of the right cylinder.

Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing how to find the volumes of right prisms and right cylinders. EXAMPLE 4: The volume of the cube is 90 cubic inches. Find the value of x.

Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing how to find the volumes of right prisms and right cylinders. Example 5: Find the volume of the oblique cylinder. Cavalieri’s Principle uses cross sections to find the volume of the oblique cylinder.

Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing how to find the volumes of right prisms and right cylinders. Example 6: Find the volume of the oblique prism shown below.

Essential Question: How do you find the volume of a right prism or a right cylinder? Students will write a summary describing how to find the volumes of right prisms and right cylinders. Example 7: Find the volume of the solid. Hint: Vs = Volume of prism – Volume of rectangle.