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"Volume and Volume Units" Cuboid and Cube PPT Courseware 4
The size of the space an object occupies is called the volume of the object.
A cube with an edge length of 1 cm has a volume of 1 cm3 and is recorded as 1cm3.
What volume unit is appropriate to use to express the volume of the object below?
(1) The volume of an eraser is approximately ( );
(2) The volume of a tape recorder is about 15( );
(3) The volume of a shipping container is approximately 40( );
(4) Commonly used volume units are: cubic ( ); cubic ( ); cubic ( ).
judge:
1. Two cubes with equal surface areas must also have equal volumes. ( )
2. The size of an object is called the volume of the object. ( )
3. The unit of volume is larger than the unit of area. ( )
Volume of cuboid = length × width × height V = abh
Volume of cube = edge length × edge length × edge length V=a.a.a=a³
A rectangular cake is 20 cm long, 16 cm wide, and 8 cm high. If one cut is made parallel to the front and left and right, how many square centimeters will the surface area of the cake be increased?
20×8×2+16×8×2
=320+256
=576 (square centimeters)
Answer: The surface area increased by 576 square centimeters.
Notice:
Expanding into a plane means that the six planes in the cube are expanded into a plane figure. Each of the six resulting squares has at least one side connected to a certain side of the other squares.
A 30 cm long rectangular piece of wood is sawn into 3 sections (as shown in the picture). The surface area increases by 20 square centimeters compared to the original. What is the original volume of this piece of wood in cubic centimeters?
20÷4=5(square centimeters)
30×5=150(square centimeters)
Answer: The original volume of this piece of wood was 150 square centimeters.
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"Volume and Volume Units" PPT:
"Volume and Volume Units" PPT Part One Content: Classroom Experiment Example 1, Small Experiment (1) Take two identical glasses and put the same amount of water (you can drop a drop of ink in the water). (2) Put a potato and a small stone into two cups respectively. Guess..
"Volume and Volume Units" Cuboid and Cube PPT Courseware 3:
"Volume and Volume Units" Cuboid and Cube PPT Courseware 3 The size of the space occupied by an object is called the volume of the object. Use unified units of volume to measure. A cube with edge length 1cm has a volume of 1cm3. The volume is the number of volume units an object contains..
"Volume and Volume Units" Cuboid and Cube PPT Courseware 2:
"Volume and Volume Units" Cuboid and Cube PPT Courseware 2 1. Review old knowledge The size of the space occupied by an object is called the object's ( ). To measure volume, volume units must be used. Commonly used volume units are ( ), ( ) and ( ), which can be written as ( ), ( ) and ( ..