Current location - Training Enrollment Network - Mathematics courses - The understanding of cuboids and cubes in Unit 3 of Mathematics in the next semester of Grade Five is summarized in brackets.
The understanding of cuboids and cubes in Unit 3 of Mathematics in the next semester of Grade Five is summarized in brackets.
Cuboid and cube

Cubes are also called cubes.

Features of a cuboid: ① A cuboid has six faces; (2) Each face is rectangular (in special cases, two opposite faces are square); 3 the opposite side is exactly the same; ④ There are 12 edges; ⑤ The length of opposite sides is equal; ⑥ There are eight vertices.

The length of three sides intersecting at a vertex is called the length, width and height of a cuboid.

A cube can be regarded as a cuboid with equal length, width and height. Cubes are special cuboids. Features of a cube: ① A cube has six faces; ② Every face is square; ③ All faces are exactly the same; ④ There are 12 edges; ⑤ All sides are equal in length; ⑥ There are eight vertices.

Sum of sides of a cuboid = (length+width+height) ×4

Sum of cube sides = side length × 12

The sum of the areas of six faces of a cuboid is called the surface area of a cuboid.

The surface area of a cuboid = (length× width+length× height+width× height) ×2.

Surface area of cube = side length 2×6

Surface area of "special" cuboid = area of square surface ×2+ area of rectangular surface ×4.

The side area of a cuboid = the perimeter of the bottom × the height.

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

The commonly used unit of volume is cubic centimeter, cubic decimeter and cubic meter, which can be written as cm3, dm3 and m3 respectively.

A cube with a side length of 1cm and a volume of 1 cm3; A cube with a side length of 1dm and a volume of 1dm3; ; A cube with a side length of 1m and a volume of 1 m3.

Cuboid volume = length× width× height; Represented by letters is V=abh.

Volume of cube = side length 3; Represented by letters is V=a3.

Volume of cuboid (or cube) = bottom area × height = cross-sectional area × length.

In engineering, 1 m3 is abbreviated as 1 m3.

1 cuboid or cube, if all side lengths are expanded n times, then the sum of side lengths is also expanded n times, the surface area is expanded n2 times and the volume is expanded n3 times.

The cuboid or cube with equal edges has the largest volume.

1 m3 = 1000 cubic decimeter; 1 cubic decimeter = 1000 cubic centimeter.

The propulsion rate between every two adjacent length units is10; The propulsion rate between every two adjacent regional units is100; The propulsion rate between every two adjacent unit of volume is 1000.

The volume of objects that a container can hold is usually called their volume. Unit of volume is generally used to measure volume.

To measure the volume of liquid, the commonly used unit of volume is liters and milliliters, and it can also be written as L and ml.

1 l is equivalent to 1 cubic decimeter, and 1 ml is equivalent to 1 cubic centimeter, so 1 l = 1000 ml.

The calculation method of cuboid or cube container volume is the same as that of volume, but the length, width and height should be measured from the inside of the container.