Class name score
Fill in the blanks
1. A Rubik's cube with/kloc-0 cubes, 6 cm long, with a surface area of () square centimeters and a volume of () cubic centimeters.
2. The base area of a cuboid is 80 square meters, the height is 7 meters, and the volume is () cubic meters.
3. The rectangular carton is 10 cm long, 8 cm wide, 4 cm high, with the maximum surface length () cm and width () cm, so that the area of such a surface is () cm 2; The area of the smallest surface is () square centimeters. The volume of this cuboid is () cubic centimeters.
4. The sum of the sides of a cuboid is 96 decimeters, the length is 14 decimeters, the width is 5 decimeters, and the height is () decimeters. This cuboid has () sides that are squares, and the area of each side is () square decimeter; The surface area of this cuboid is () square decimeter and the volume is () cubic decimeter.
5. The side length of a cube is 8 decimeters, the sum of the side lengths is (), the surface area is (), and the volume is ().
6. Fill in the appropriate numbers in brackets.
5.6 cubic decimeter = () liter 8600 square centimeters = () square decimeter
980 cubic decimeter = () cubic meter 9.4 cubic meter = () cubic decimeter
2.7 liters = () milliliters = () cubic centimeters
75 cubic centimeters = () cubic decimeter = () liters
7. A rectangular goldfish bowl is 8 cm long, 5 cm wide and 6 cm high. It takes at least 20 square decimeters of glass to build this aquarium.
8. Pour 32 liters of water into a cuboid water tank with a length of 8 decimeters and a width of 2.5 decimeters, just filling it up. The depth of this water tank is () decimeter.
9. It takes at least () small cubes to form a big cube. If the side length of a small cube is 2 cm, then the surface area of a large cube is () square cm and the volume is () cubic cm.
2. Judge whether it is true or not (tick "√" for the correct one and "×" for the wrong one).
1. Cubes are also special cuboids. ………………………………( )
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. A cube with a length of 6 decimeters has the same surface area and volume. ………………………… ( )
5. Cut a cuboid into two equal cubes, and the surface area of each cube is half that of the cuboid. …( )
Third, multiple-choice questions (choose the serial number of the correct answer)
1. The sum of the sides of the cube is 60 cm, and its surface area is ().
A.2 1600 cm2 B. 150 cm2 C. 125 cm3
2. A rectangular frame with a length of 6 cm, a width of 5 cm and a height of 3 cm can be made with a long () iron wire.
A.28 b. 126cm2 C.56 d.90cm3
3. A cuboid box with a length of 6 decimeters, a width of 4 decimeters and a height of 5 decimeters can hold at most () cubes with a length of 2 decimeters.
15 b . 14 c . 13d . 12
Fourth, solve the equation
2.3x- 1.02 = 0.36 X-8/9 = 1(X+ 12)×3 = 48。
Seven. Practice and application
1. The sum of the sides of the cube is120cm. How many square centimeters is its surface area? How many cubic centimeters is the volume?
2. How many square decimeters of glass do you need to make a rectangular fish tank 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?
Suguo supermarket uses a car with a cuboid trunk to transport goods. From the inside, it is 3 meters long and 2.5 meters wide. The cargo height is1.6m, and the cargo weight per cubic meter is1.4t.. How many tons are transported by five identical cars?
4. Forging a cube blank with a length of 8 cm into a cuboid with a length of 16 cm and a width of 8 cm. What is the height of this cuboid? (solve by equation. )
In order to welcome the 2008 Olympic Games, a swimming pool 50 meters long, 30 meters wide and 3 meters deep will be built.
How many square meters is this swimming pool?
(2) How many cubic meters of water can this swimming pool hold at most?
6. A cube-shaped glass jar with a length of 4 cm. After being filled with water, all the water is poured into a water tank with a bottom area of 20 square decimeters. What is the height of the water surface in the water tank?
Hehe, I'm sorry, there is no answer, but you can take the exam according to your actual ability, hehe, I really hope I can help you ~ ~