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

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

Example 1: How many square centimeters of cardboard should be used to make a rectangular carton with a length of 6 centimeters, a width of 5 centimeters, and a height of 4 centimeters?

Think: The cuboid has 6 faces, each of the upper and lower faces is ( ) centimeters long, ( ) centimeters wide, and the area is ( ) square centimeters;

Each front and rear surface is ( ) centimeters long, ( ) centimeters wide, and the area is ( ) square centimeters;

Each side on the left and right is ( ) centimeters long, ( ) centimeters wide, and the area is ( ) square centimeters.

Do it: A cuboid is 4 meters long, 3 meters wide and 2.5 meters high. What is its surface area in square meters? (Calculated using two methods.)

Solution 1: 4×3×2+4×2.5×2+3×2.5×2=24+20+15=59 (square meters)

Solution 2: (4×3+4×2.5+3×2.5) ×2=(12+10+7.5) ×2=29.5×2=59 (square meters)

The length of the front face is ( ) decimeters, the width is ( ) decimeters, and the area is ( ) square decimeters.

The length of the left side is ( ) decimeters, the width is ( ) decimeters, and the area is ( ) square decimeters.

The length of the surface above is ( ) decimeter, the width is ( ) decimeter, and the area is ( ) square decimeter.

1. Decide whether it is right or wrong and explain the reasons:

1) A cuboid with equal length, width and height is called a cube. ( )

2) For a cube with an edge length of 4 decimeters, its surface area formula is 4²×6, and the result is 48 square decimeters. ( )

3) Use four small cubes of the same size to form a cuboid. The surface area of ​​this cuboid is smaller than the sum of the surface areas of the original four small cubes. ( )

2. What is the surface area of ​​a cube?

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

3. How to calculate the surface area of ​​a cube?

Edge length × Edge length × 6 or Edge length² × 6

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Update Time: 2024-07-03

This template belongs to Mathematics courseware Beijing Normal University fifth grade mathematics volume 2 industry PPT template

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