"Volume of a cuboid" Cuboid (2) PPT download

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"Volume of a cuboid" Cuboid (2) PPT download

Part One: Introduction of New Course

Which of these two cuboids is larger? Which one is smaller? How do you compare their sizes?

Compare their volumes.

How to calculate their volume? Today we will learn how to calculate the volume of a cuboid.

Volume of cuboid PPT, part 2: exploring new knowledge

(1) Volume of cuboid:

Talk about the changes in pictures ①②③. What did you find?

In conclusion:

Volume of cuboid = length × width × height

If V is used to represent the volume of the cuboid, a is used to represent the length of the cuboid, b is used to represent the width of the cuboid, and h is used to represent the height of the cuboid, then the volume formula of the cuboid can be expressed in letters as:

V＝a×b×h＝abh

(2) The volume of the cube.

How to find the volume of this cube? Use the small cube to swing around and count.

To summarize: the cube is a special cuboid. The volume of the cuboid is "length × width × height", so the volume of the cube = edge length × edge length × edge length.

If the edge length of the cube is represented by the letter a, please use the letter to represent the volume of the cube:

Represented by letters: V=a×a×a=a3

"a3" is read as the cube of a, which means the multiplication of three a's, so the volume formula of a cube is generally written as: V=a3.

(3) Unified volume calculation method for cuboids and cubes.

Calculate the volume of the following figures.

The area of ​​the shaded part is the area of ​​the base of each figure, which is called the base area.

The unified volume formula of a rectangular (rectangular) cube: base area × height

Represented by letters: V=S×h=Sh

Volume of cuboid PPT, Part 3: Consolidation exercises

1. Communicate with your peers, how do we get the volume formulas of cuboids and cubes?

Students discuss and communicate in groups.

2. I tell you to do it.

Use a small cube with a volume of 1cm3 to form a rectangular parallelepiped.

3. Use small cubes with a volume of 1cm3 to form the following figures. What are their volumes?

Answer: Their volumes are 12cm3, 45cm3, 8cm3 and 45cm3 respectively.

4. A rectangular marble has a volume of 30m3 and a rectangular base with an area of ​​6m2. How many meters is the height of this marble?

V = S x h

30 = 6 x h

h = 5 (meters)

Answer: The height of this marble is 5 meters.

Volume of cuboid PPT, Part 4 content: Class summary

What did you gain from studying this lesson?

Volume of cuboid = length × width × height

V＝abh

Volume of cube = edge length × edge length × edge length

V＝a×a×a＝a3

The volume of a cuboid = base area × height

V＝Sh

Keywords: Beijing Normal University edition fifth grade mathematics PPT courseware for volume 2 free download, volume of cuboid PPT download, cuboid PPT download, .PPT format;

For more information about the PPT courseware "Volume of a Cuboid and Cuboid", please click on the Volume of Cuboid PPT PPT tab.

"Volume of a cuboid" Cuboid (2) PPT:

"Volume of a Cuboid" Cuboid (2) PPT Part One Content: Learning Objectives 1. Further master the calculation methods of the volume of cuboids and cubes. (Key points) 2. Be able to use the volume formulas of cuboids and cubes to solve some simple practical problems. (difficult)...

"Volume of a cuboid" PPT:

"Volume of a Cuboid" PPT Part One: Analysis of Examples Example 2. Work in groups, use 40 small cubes of 1 cubic centimeter to build different cuboids, and fill in the table below. This is what we put together. What is the difference between the volume of a cuboid and its length, width, and height...

"Volume of a Cuboid" Cuboid PPT Courseware 2:

"Volume of a Cuboid" Cuboid PPT Courseware 2 Teaching Objectives 1. Knowledge and skills: Explore and master the calculation methods of the volumes of cuboids and cubes, and be able to correctly calculate the volumes of cuboids and cubes. 2. Process and methods: In the process of observation, operation, and exploration,...

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Update Time: 2024-11-20

This template belongs to Mathematics courseware Beijing Normal University Edition Fifth Grade Mathematics Volume 2 industry PPT template

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