"Packaging Box" PPT Courseware 4

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"Packaging Box" PPT Courseware 4

How to find the volume of a drink box?

Method 1: Cut into small cubes and count

Method 2: Use a small cube to make a swing.

The number indicating height, in addition to indicating the height of 3 centimeters, also indicates that there are 3 layers.

The number indicating the width, in addition to indicating the width of 2 centimeters, also indicates that there are 2 rows.

The number indicating length, in addition to indicating the length of 6 centimeters, also represents a row of six 1-centimeter cubes.

Place 6 1cm cubes in a row - 2 rows in total - 3 layers in total

Length/cm Width/cm Height/cm Volume/cm

6 × 2 × 3 = 36

Because a cube is a rectangular parallelepiped with equal length, width, and height, so

Volume of cube = edge length × edge length × edge length

V=a·a·a=a³

Calculate the volume of the box

Volume of cuboid = length × width × height

Volume of cube = edge length × edge length × edge length

For cuboids and cubes, the area of ​​the base is called the base area.

A rectangular piece of wood is 5 meters long and has a cross-sectional area of ​​0.06 square meters. What is the volume of this piece of wood?

According to V=Sh, it can be calculated as follows:

0.06×5=0.3 (cubic meters)

Answer: Its volume is 0.3 cubic meters.

The volume of the drink box (cuboid) is:

10×7×20

＝1400(cubic centimeter)

1400 cubic centimeters = 1.4 liters

1400÷1000=1.4

Answer: The apple juice drink box can hold approximately 1.4 liters of beverage.

Thinking questions

If the height of a cuboid is increased by 2 cm, it becomes a cube. At this time, the surface area increased by 56 square centimeters than before. What is the original volume of the cuboid in cubic centimeters?

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Update Time: 2024-09-12

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