Fill in the blanks

1. In the figure below, the symbol () is a cuboid and the symbol () is a cube. The edge where two faces of a cuboid and a cube intersect is called (), and the point where three sides intersect is called ().

2. A cuboid has () faces, () sides and () vertices. The length of the opposite side (), the opposite is complete ().

A rectangle is 5 cm long, 4 cm wide and 3 cm high, and the sum of its sides is () cm.

4. The side length of the cube is a, and the sum of the side lengths is ().

5. The sum of the sides of a cube is 72 cm, one side is () cm, and the area of a face is () cm2.

6. The top sum (), positive sum () and left sum () of a cuboid are two opposite faces, and the area of the opposite faces is ().

7. The circumference of the bottom of the cube is 24 cm, and the surface area of the cube is ().

8. The sum of the sides of a cube is 36 cm, and its surface area is ().

9. Divide a cube with a side length of 8 cm into small cubes with a side length of 2 cm, which can be divided into () blocks.

10, it takes () cubes 3 cm long to form a cube 9 cm long.

Second, the judgment question

1, every face of a cube has four sides, and a cube has six sides, so a cube has 24 sides. ( )

2. If the two opposite faces of a cuboid are squares, the areas of the other four faces are equal. ( )

3. Put a cubic carton with a side length of 1 decimeter on the table, and the area occupied by the carton is 1 decimeter square. ( )

4. Saw a cuboid wood into two cuboids, one with four sides. ( )

Third, look at the picture and complete the following questions.

1. Find 6 faces from the 8 faces below and make them form a cuboid on the right. The number of these six faces is ()

2. In the figure below, Figure () can form a cube.

3. As shown in the figure below, place four cubes with a length of 2 cm. What is the exposure area?

Four. Calculated surface area (unit: cm)

Verbs (short for verb) solve problems.

1, the sum of the side lengths of a cuboid and a cube is equal. Given that the length, width and height of a cuboid are 3cm, 2cm and 1cm respectively, what is the side length of this cube?

The sum of the sides of a cuboid is 60 cm. What is the sum of the lengths of three sides drawn from a vertex?

3. Make a rectangular barrel without a lid. The bottom is a square with a side length of 3 cm and a height of 4 cm. How many square decimetres of iron sheet do you need at least?

There is a room, which is 5 meters long, 4 meters wide and 3.5 meters high. The top of the house and the surrounding walls need painting. The area excluding doors and windows is18m2. How many square meters is the area to be painted?

5. Cut a cube with a side length of 8 cm into two cuboids. What is the total surface area of these two cuboids?

6. What is the surface area of a cuboid consisting of two cubes 5 cm long?

7. Rectangular pool, length10m, width 7.5m and depth 2m. If you stick a square tile with a length of 2 cm on its periphery and bottom surface, how many tiles do you need at least?