The edge length of the large cube is twice that of the small cube, and the volume of the large cube is 21 cubic decimeters more than that of the small cube. What is the volume of the small cube?

The edge length of the large cube is twice that of the small cube, and the volume of the large cube is 21 cubic decimeters more than that of the small cube. What is the volume of the small cube?


21 (8-1) = 3 (cubic decimeter), a: the volume of small cube is 3 cubic decimeter



The edge length of the large cube is twice that of the small cube, and the volume of the large cube is 21 cubic decimeters more than that of the small cube. What is the volume of the small cube?


21 (8-1) = 3 (cubic decimeter), a: the volume of small cube is 3 cubic decimeter



The edge length of the large cube is twice that of the small cube, and the volume of the large cube is 21 cubic decimeters more than that of the small cube. What is the volume of the small cube?


21 (8-1) = 3 (cubic decimeter), a: the volume of small cube is 3 cubic decimeter



The edge length of the large cube is twice that of the small cube, and the volume of the large cube is 21 cubic decimeters more than that of the small cube. What is the volume of the small cube?


21 (8-1) = 3 (cubic decimeter), a: the volume of small cube is 3 cubic decimeter



As shown in the figure, a is the center of the circle, the area of the square is 10 square decimeters, then the area of the circle is______ .


14 × 10 = 31.4 (square decimeter). Answer: the area of a circle is 31.4 square decimeter



As shown in the figure below, the area of a square is 2 square decimeters, and the area of a circle is calculated


π R2 = 3.14 × 2 = 6.28 (square decimeter); a: the area of a circle is 6.28 square decimeter



As shown in the figure, a is the center of the circle, the area of the square is 10 square decimeters, then the area of the circle is______ .


14 × 10 = 31.4 (square decimeter). Answer: the area of a circle is 31.4 square decimeter



Use several small cubes of the same size to build a geometry. The shape of the geometry seen from the front and above is as shown in the figure. According to the geometry you built, draw its shape from the left. Can you build other geometry that meets the conditions?


As shown in the figure, we can also build other geometry that meet the conditions



Use several small cubes of the same size to build a geometry. The shape of the geometry seen from the front and above is as shown in the figure. According to the geometry you built, draw its shape from the left. Can you build other geometry that meets the conditions?


As shown in the figure, we can also build other geometry that meet the conditions



Build a geometry with a small cube so that it can be seen from the front and from the top as shown in the figure. Is there only one geometry like this? How many cubes does it need at most? How many cubes does it need at least? Please draw the figure from the left in both cases


There is not only one kind of geometry, it needs at most 2 × 5 = 10 small cubes, it needs at least 2 × 3 + 2 = 8 small cubes. When the small cubes are most, the left view has 2 columns, which are 2 or 2 squares from left to right; when the small cubes are least, there are 2 cases: ① there are 2 columns, which are 1 or 2 squares from left to right; ② there are 2 columns, which are 2 or 2 squares from left to right Square; as shown in the figure: