"How Big is an Ice Cream Box" PPT Courseware 2

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"How Big is an Ice Cream Box" PPT Courseware 2

1. Situation introduction

The base diameter is 2dm and the height is 3dm.

How much cardboard is needed to make such a cylindrical paper tube?

What mathematical information do you know from the picture?

What questions can you ask based on this information?

2. Cooperation and exploration

How much cardboard is needed to make a cylindrical paper tube like this?

Find how much cardboard is needed, that is, find the surface area of ​​the cylindrical paper tube.

How to find the surface area of ​​a cylinder?

Area of ​​rectangle = length � width

Side area of ​​cylinder = perimeter of base � height

The side area of ​​the cylinder plus the areas of the two bases is the surface area of ​​the cylinder.

3. Independent practice

1. Calculate the side area and surface area of ​​the cylinder below. (Unit: dm)

Side area: 3.14×2×5×10 = 314 (square decimeters)

Bottom area: 3.14×5×5=78.5 (square decimeters)

Surface area: 2×78.5+314=471 (square decimeters)

2. The sides of a fish tank are made of tempered glass. How many square meters of tempered glass do you need to make such a fish tank?

Side area: 3.14×2×3=18.84 (square meters)

Answer: At least 18.84 square meters of tempered glass is required.

3. As shown in the picture on the right, how many square centimeters of material are needed to make a pen holder with a base circumference of 25.12 cm? (Keep the result as an integer.)

Bottom radius: 25.12÷3.14÷2 =4 (cm)

Base area: 3.14×42 =50.24 (square centimeters)

Side area: 25.12×15 =376.8 (square centimeters)

Surface area: 50.24 + 376.8 =427.04 (square centimeters) ≈ 428 (square centimeters)

Answer: Approximately 428 square centimeters of material are required.

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Update Time: 2024-11-23

This template belongs to Mathematics courseware Qingdao Edition Sixth Grade Mathematics Volume 2 industry PPT template

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