"Surface Area of ​​a Cuboid" Cuboid (1) PPT teaching courseware

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"Surface Area of ​​a Cuboid" Cuboid (1) PPT teaching courseware

Part One: Learning Objectives

1. During operation and observation activities, explore and understand the surface area of ​​cuboids and cubes and their calculation methods, and be able to calculate them correctly.

2. Enrich the understanding of real space and develop preliminary spatial concepts.

3. Combine with specific situations, solve some simple problems in life, and understand the connection between mathematics and life.

[Key Points] Explore and understand the surface area of ​​cuboids and cubes and their calculation methods.

[Difficulty] Be able to combine specific situations, solve some simple problems in life, and understand the connection between mathematics and life.

Surface area of ​​cuboid PPT, part 2 content: exploration of new knowledge

(1) A cuboid has ( ) faces, usually ( ), and the ( ) of opposite faces are equal;

(2) This is a ( ), it is ( ) centimeters long, ( ) centimeters wide, and ( ) centimeters high. The sum of their edge lengths is ( ) centimeters. The area above it is ( ) square centimeters.

In the handicraft class, students made rectangular packaging boxes. (As shown in the picture) How much cardboard is needed to make such a packaging box?

Discuss in the group and tell us what you think?

How to calculate the surface area of ​​this rectangular box? Think about it and fill it out.

The areas of two opposite faces are equal.

The total area of ​​the six faces of the cube is called the surface area of ​​the cube.

Surface area of ​​cube = edge length × edge length × 6

=area of ​​a surface×6

Surface area of ​​cuboid PPT, Part 3 content: Classroom exercises

1. On the expanded cuboid diagram below, first paint the opposite faces with the same color, and then mark the length and width of each face. (Unit: cm)

Tell me, how to get the surface area of ​​this cuboid?

method one

Multiply the top area by 2, add the left area multiplied by 2, and add the front area multiplied by 2 to equal the surface area of ​​the cuboid.

15 ×12 ×2 +12 ×3 ×2 +15 ×3 ×2

=360+72+90

=522(cm²)

Answer: The surface area of ​​this cuboid is 522 square centimeters.

Method Two

The surface area of ​​the cuboid is equal to the sum of the areas of the three adjacent groups of faces, multiplied by 2.

(12 ×3 +15 ×12 +15 ×3) ×2

= (36+180+45) ×2

=261×2

=522(cm²)

Answer: The surface area of ​​this cuboid is 522 square centimeters.

2. A rectangular swimming pool is 20 meters long, 15 meters wide, and 2 meters deep. Each surface of the swimming pool needs to be plastered with cement. How many square meters of cement needs to be plastered?

20×15+(20+15)×2×2

=300+35 ×2 ×2

=300+140

=440 (square meters)

Answer: The area that needs to be plastered with cement is 440 square meters.

3. If a cube is sawn into two cuboids, its surface area increases by 6 square centimeters. Then what is the surface area of ​​the original cube in square centimeters?

The area of ​​one face of the original cube is:

6 ÷ 2=3 (square centimeters)

The surface area of ​​the original cube is:

3 × 6=18 (square centimeters)

Answer: The surface area of ​​the original cube is 18 square centimeters.

Surface area of ​​cuboid PPT, Part 4 content: Class summary

1. The surface area of ​​a cuboid is the sum of the areas of the six faces of the cuboid.

Surface area of ​​cuboid = length × width × 2 + length × height × 2 + width × height × 2 = (length × width + length × height + width × height) × 2

2. The surface area of ​​a cube is the sum of the areas of the six faces of the cube.

Surface area of ​​cube = edge length × edge length × 6 = area of ​​one face × 6

Surface area of ​​a cuboid PPT, Part 5: Classwork

1. As shown in the picture, which of the following sizes of wrapping paper is more suitable for packaging a rectangular carton? Share your ideas with peers. (Unit: cm)

First find the surface area of ​​the packaging box.

(10×8+8×2+10×2) ×2

= (80+16+20) ×2

=116×2

=232(square centimeters)

First of all, the area of ​​the first piece of paper is not large enough. In addition, its short side is only 5 cm. It cannot wrap the 8 cm side, so it is excluded.

2. The naughty room is 3.5m long, 3m wide and 3m high. Excluding the 4.5m2 doors and windows, the walls and roof of the room are all covered with wallpaper. What is the minimum area of ​​wallpaper required for this room?

3.5×3×2+3×3×2+3.5×3-4.5

=21+18+10.5-4.5

=45(m2)

There are five sides in total. The area of ​​​​the four walls and the roof area. Do not paste wallpaper on the doors and windows, so you have to subtract 4.5 square meters.

Answer: This room requires at least 45 square meters of wallpaper.

3. How much cardboard is needed to make a washing machine packaging box that is 54cm long, 50cm wide and 95cm high?

54×50×2+50×95×2+54×95×2

=5400+9500+10260

=25160(cm2)

Answer: At least 25,160 square centimeters of cardboard is required.

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"Surface Area of ​​a Cuboid" Cuboid (1) PPT download:

"Surface Area of ​​a Cuboid" Cuboid (1) PPT Download Part One: Learning Objectives 1. Master the calculation method of the surface area of ​​a cuboid and a cube, and be able to calculate it correctly. (Key points) 2. Apply the calculation method of surface area of ​​cuboid and cube to solve practical problems..

"Surface Area of ​​a Cuboid" Cuboid (1) PPT:

"Surface Area of ​​a Cuboid" Cuboid (1) PPT Part One Content: Learning Objectives 1. In the process of solving practical problems, explore the calculation method of the surface area of ​​a cuboid. 2. Master the calculation method of the surface area of ​​a cuboid and be able to solve some simple application problems. 3...

"Surface Area of ​​a Cuboid" Cuboid PPT Courseware 2:

"Surface Area of ​​Cuboids" Cuboid PPT Courseware 3 Teaching Objectives 1. Knowledge and skills: During operation and observation activities, explore and understand the surface areas of cuboids and cubes and their calculation methods, and be able to calculate them correctly. 2. Process and methods: Enrich the concept of real space..

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Update Time: 2024-10-02

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

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