1. Fill in the blanks. (36%)

1. A cuboid has () vertices, () edges and () faces. Generally speaking, the areas of () planes are equal.

2. The base area of a cuboid is 80 square centimeters, the height is 0.7 decimeter, and the volume is () cubic centimeters.

3. The side length of a cube is 8 decimeters, the sum of the side lengths is (), the surface area is (), and the volume is ().

4. The cuboid is 1.4m in length, 5cm in width and 5cm in height. This cuboid has () sides that are squares, and the areas of the front, bottom and side are () square decimeters respectively.

5. A cuboid goldfish bowl with a length of 8 decimeters, a width of 5 decimeters and a height of 6 decimeters was accidentally broken in front of the glass. When it was repaired, the area with glass was ().

6. The sum of the sides of a cube is 72 cm, and one of its faces is a square with a side length of () cm and a volume of ().

7. At least () small cubes are needed to form a big cube. If the side length of a small cube is 5 cm, then the surface area of this big cube is () square cm.

8. Put three cubes with a side length of 4 cm into a cuboid, the surface area is reduced by () square centimeters, and its volume is () cubic centimeters.

9. Saw a cuboid with a length of 124 cm, a width of 10 cm and a height of 10 cm into the largest cube, and at most it can be sawed into ().

Judge whether it is true or not (mark "√" for the right and "×" for the wrong). (6%)

1. Cuboid is a special cube. ………………………………………( )

2. After two identical cubes are put together to form a cuboid, the volume and surface area are unchanged. …( )

3. The side length of the cube is expanded by 3 times, and the volume is expanded by 9 times. ………………………… ( )

4. The surface area of a cube with a side length of 5cm is larger than its volume. …………………( )

A bottle of white wine has 500 liters. ……………………………………………( )

6. The relative areas of cuboids are equal. …………………………( )

3. Look at the pictures and find their surface area and volume. (Unit: decimeter) (12%)

Multiple choice questions (number of correct answers in brackets) (4%)

1. cuboid wooden box volume and volume comparison ().

A. Same size B. Big size C. Big size D. Can't compare sizes

2. After sawing a 2-meter-long cuboid wood into two sections, the surface area increased by 100 cm2, and its volume was ().

A.200 cubic centimeters B. 10000 cubic centimeters c.2 cubic decimeters

3. After dividing a cuboid into several small cuboids, the volume ().

A. No change B. Bigger than before C. Smaller than before

4. The sum of the sides of a cube is 60 cm, and its surface area is ().

A.2 1600 cm2 B. 150 cm2 C. 125 cm3

Verb (short for verb) Fill in the form. ( 12%)

Length, width, height, bottom area, surface area and volume

Cuboid 8 cm 4 cm 40 cm 2.

Cuboid 10 decimeter 120 square decimeter 600 cubic decimeter

Cubic 8 meters

Cube 54 square meters

Practice and application of intransitive verbs (30%)

1. The rectangular body is 20 decimeters long, 1.5 meters wide and 10 decimeter high. How many cubic decimeters is its volume?

2. The sum of the sides of the cube is120cm. How many square centimeters is its surface area?

3. How many square decimeters of glass does it take to make a rectangular bathtub (without a cover) with a length of 8 decimeters, a width of 4 decimeters and a height of 6 decimeters? If glass costs 4 yuan per square decimeter, how much does it cost to buy glass at least?

A room is 6 meters long, 3.5 meters wide and 3 meters high, with 8 square meters of doors and windows. Now we need to cement the walls and top of this room. If you need 4 kilograms of cement per square meter, how many kilograms of cement do you need?

The length of a cube stone is 5 decimeters and the weight is 2.7 kilograms per cubic meter. How much does this stone weigh?

6. A cuboid medicine can hold 60 liters of medicine. It is known that the medicine pot is 5 centimetres long and 3 centimetres wide. What is its depth?

Attached with reference answers (for reference only, correct yourself if there are any mistakes)

I. 1, 8 12 6 relative to 2 560 3, 96 384 5 12 4, 2 70 70 25

5、 48 6、 6 2 16 7、 8 600 8、 64 192 9、 12

Two. 1, × 2 ,× 3 ,× 4, √ 5, × 6, √.

Third, the surface area is 592 square decimeters; The volume is 960 cubic decimeters. The surface area is 486 square decimeters; Volume 89 1 cubic decimeter.

Fourth, 1, B 2, B 3, A 4, b

Five,

Length, width, height, bottom area, surface area and volume

Cuboid 8 cm 5 cm 4 cm 40 cm 2 184 cm 2 160 cm 3.

Cuboid 12 decimeter 10 decimeter 5 decimeter 120 square decimeter 460 square decimeter 600 cubic decimeter

Cube 8m 64m2 384m2 5 12m3

Cube 3 meters 9 square meters 54 square meters 27 cubic meters

6, 1, 3000 cubic decimeter; 2600 square centimeters; 3,704 yuan; 4,238 kilograms; 5, 0.3375 kg

Six or four decimetres.