A cube with edge length of 1 cm has a volume of 1 cubic centimeter; record as (). The volume of a cube box with edge length of () measured from inside is 1 ml, which is equivalent to 1 (). The volume of a cube with edge length of () is 1 cubic decimeter; record as (). The volume of a cube box with edge length of () measured from inside is 1 (), which is equivalent to 1 cubic decimeter

A cube with an edge length of 1 cm has a volume of 1 cubic centimeter, which is recorded as (1cm & # 179;). The volume of a cube with an edge length of (1cm) measured from the inside is 1 ml, which is equivalent to 1 (cubic centimeter). A cube with an edge length of (1 decimeter) has a volume of 1 cubic decimeter, which is recorded as (1dm & # 179;). The volume of a cube with an edge length of (1) measured from the inside is 1 (liter), It is equivalent to one cubic decimeter

The length of a cube is 20 cm. How many cubic meters is its volume

Edge length = 0.2m, volume = 0.2 ^ 3 = 0.008m

In the center of the top of a large cube with 3 cm edge length, dig out a small cube with 1 cm edge length, and calculate the current surface area and volume

3 × 3 × 6 = 9 × 6, = 54 (square centimeter), 1 × 1 × 4 = 4 (square centimeter), 54 + 4 = 58 (square centimeter); 3 × 3-1 × 1 × 1, = 27-1, = 26 (cubic centimeter)

The cube with a DM long edge is painted red on its surface. The cube can be divided into () cubes with a volume of 1 cubic centimeter

It can be divided into 1000 cubes with a volume of 1 cubic centimeter

There are two cube boxes with the edge length of 8 cm. In the first box, a cylinder iron block with a diameter of 8 cm and a height of 8 cm is placed. In the second box, a cylinder iron block is placed
Now fill the first box with water and the second box with water. Which box has more water? How many cubic centimeters more?

In the first box:
Volume of cylinder
=3.14×（8÷2）²×8
=401.92 cm3
In the second box:
Volume sum of 4 cylinders
=3.14×（4÷2）² ×8×4
=401.92 cm3
Because: the volume of injected water is cube volume cylinder volume,
And: the volume of the two boxes is the same, so is the volume of the cube,
So:
The volume of water injected is the same
Water injection volume = 8 × 8 × 8-401.92 = 110.08 cm3

There are two cube boxes with the length of 12 cm. In box a, one cylinder iron block with the diameter of 12 cm and the height of 12 cm is placed. In Box B, four cylinder iron blocks with the diameter of 6 cm and the height of 12 cm are placed. Now box a is filled with water, and then pour the water in box a into Box B, so that box B is also filled with water?

12 × 12 × 12 = 1728 (CC); box a can hold water: 1728-3.14 × (122) 2 × 12, = 1728-3.14 × 36 × 12, = 1728-1356.48, = 371.52 (CC), = 371.52 ml; Box B can hold water: 1728-3.14 × (62) 2 × 12 × 4, = 1728-3.14 × 9 × 12 × 4

Can a 17 cm long stick fit into a 10 cm cube
The data of the box is measured from inside

A 17 cm long stick can fit into a 10 cm cube box
The thickness of the premise stick is ignored

For example, if the figure is the expanded plan of a cube box without cover, and a, B and C are the three points on the expanded figure, then in the cube box, ∠ ABC is ()
A. 180°B. 120°C. 60°D. 45°

Restore the square, connect the three points of ABC, you can get the figure, ab = AC = BC, so the size of the angle is 60 degrees, so choose C

There are several kinds of expanded drawings of cube

There are 11
1.X
X X X X
X
2.X
X X X X
X
3.X
X X X X
X
4 X
X X X X
X
5.X
X X X X
X
6.X
X X X X
X
7.X X
X X X
X
8.X X
X X X
X
9.X X
X X X
X
10.X X X
X X X
11.X X
X X
X X

As shown in the figure, it is the surface expansion of an uncovered cube box. A, B and C are the three points on it. Then in the cube box, ∠ ABC=______ ．

Geometry restoration is shown in the figure: then △ ABC is an equilateral triangle, so ∠ ABC = π 3, so the answer is: π 3