"Surface Area of ​​Cuboids and Cubes" Cuboids and Cubes PPT Courseware 5

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"Surface Area of ​​Cuboids and Cubes" Cuboids and Cubes PPT Courseware 5

1. A cuboid has ( ) faces. Generally, each face is ( ). In special cases, there are two faces ( ), and the ( ) of the opposite faces are equal.

2. A cuboid has ( ) vertices and ( ) edges. The three line segments drawn from the same vertex are ( ), ( ), and ( ) of the cuboid.

3. The picture below is a ( ), its length is ( ) cm, its width is ( ) cm, its height is ( ) cm, and the sum of its edge lengths is ( ) cm.

What is the surface area of ​​a cuboid?

The total area of ​​the six faces of a cuboid is called its surface area.

Answer the following questions as required based on the picture on the right

(1) What two conditions are required for the front and back areas? How to ask for it?

(2) Which surface area can be found using the two conditions of 7 cm and 3 cm?

(3) How to find the area of ​​the left and right sides?

(4) How to find the surface area of ​​this cuboid?

What is the surface area of ​​a cube?

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

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

What are the similarities and differences between cuboids and cubes.

A cuboid has _____ faces, and the opposite faces are _____;

There are _____ edges, opposite edges _____; there are _____ vertices.

A cube has _____ faces, and each face _______;

There are _____ edges, each edge _______; there are _____ vertices.

The school needs to paint new classrooms. It is known that the length of the classroom is 8 m, the width is 6 m, and the height is 3 m. The area excluding doors and windows is 11.4 m2. If it costs 4 yuan per square meter to paint, how much does it cost to paint this classroom?

8×6+8×3×2+6×3×2

=48+48+36

=132 (square meters)

(132-11.4)×4=120.6×4=482.4 (yuan)

Answer: It will cost 482.4 yuan to paint this classroom.

A room is 7 meters long, 5 meters wide, and 4 meters high. To paint this room, the area will be 5.5 square meters excluding doors and windows. If it costs 4 yuan per square meter to paint, how much does it cost to paint this room?

S=7×5+7×4×2+5×4×2

=35+56+40

=131(square meters)

(131-5.5)×4=125.5×4=502 (yuan)

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"Surface Area of ​​Cuboids and Cubes" Understanding of Cuboids and Cubes PPT Courseware 2 Cuboids and cubes have 6 faces, which are the exposed parts of the cuboid or cube. We call these 6 faces the surface of the cuboid or cube. The area of ​​all faces of an object..

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Update Time: 2024-10-02

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