"Packaging Box" PPT Courseware 2

Description

"Packaging Box" PPT Courseware 2

1. Overall review

A cube is a special rectangular parallelepiped

Characteristics of cuboids and cubes

face edge vertex

surface area

surface area of ​​cuboid

surface area of ​​cube

volume and capacity

Volume units and conversions

volume of cuboid

volume of cube

Volume

2. System sorting

A cube is a special rectangular parallelepiped. Their relationship can be represented by the following figure:

Volume and volume of cuboids and cubes

volume

The size of the space occupied by an object is called its volume.

To measure volume, use volume units. Commonly used volume units are: cubic centimeter, cubic decimeter and cubic meter, which can be written as cm3, dm3 and m3 respectively.

1 cubic meter = 1000 cubic decimeters

1 cubic decimeter = 1000 cubic centimeters

volume

The volume of objects that a container can hold is called their volume.

Volume is generally measured in volume units. However, when measuring the volume of liquids, such as water, oil, etc., the commonly used volume units are liters and milliliters, which can also be written as L and mL.

1 liter = 1 cubic decimeter

1 ml = 1 cubic centimeter

1 liter = 1000 ml

3. Comprehensive application

1. Fill it out.

3m2=( )dm2

5000cm2=( )dm2

0.05m3=( )dm3=( )cm3

3560mL=( )L=( )dm3

0.32m3=( )L

2. Fill it out.

3. Calculate the surface area and volume of the figure below.

Surface area:

(8×4+4×6+6×8)×2

=(32+24+48)×2

=104×2

=208(cm2)

Volume: 8×6×4=192 (cm3)

4. Use 240 cm long wire to make the largest cube frame, and then use cardboard to wrap up the 6 pieces. How many square centimeters of cardboard are needed at least? What is the volume of this carton in cubic centimeters?

240÷12=20 (cm)

20×20×6=2400 (square centimeters)

Answer: At least 2400 square centimeters of cardboard are required.

20×20×20=8000 (cubic centimeters)

Answer: The volume of this carton is 8000 cubic centimeters.

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Update Time: 2024-10-27

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

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