Name score
Fill in the blanks
1. A cuboid has () vertices, () edges and () faces.
2. The side length of a cube is 8 decimeters, its total side length is () decimeters, its surface area is () square centimeters, and its volume is () cubic decimeters.
The base area of a cuboid is 80 square centimeters, the height is 7 centimeters and the volume is () cubic centimeters.
4. Fill in the appropriate unit name in brackets.
Flagpole height 15 () Classroom area 80 ()
Tank volume 16 () A bottle of ink 60 ()
5. The sum of the sides of a cube is 48 cm, and its volume is ().
6. A rectangle is 5 meters long, 3 meters wide and 4 meters high, and its volume is () cubic meters.
7, put 30 liters of salt water into a salt water bottle with a volume of 250 ml, which can be filled with () bottles.
8, 3.5 cubic meters = () cubic decimeter 470 cubic centimeters = () cubic decimeter.
0.8 cubic meter = () cubic centimeter 60 cubic decimeter = () cubic meter
4300ml = () liter 35 cubic decimeter = () liter
1200 square centimeter = () square decimeter = () square meter
8.25m3 = () cubic decimeter = () cubic centimeter.
4.8 liters = () cubic decimeter = () cubic centimeter
Second, the judgment question
1, 3 cubic meters is more than 2 square meters. ( )
2,5 cubic meters 40 cubic decimeters =540 cubic decimeters. ( )
The surface area of a cube 6 cm long is equal to its volume.
4. Two small cubes are combined into a cuboid whose volume is equal to the sum of the two small cubes. ( )
5. The propulsion rate between two adjacent unit of volume is 1000. ( )
6. Cuboid is a special kind of cube. ( )
7. It is impossible to have a square on the surface of a cuboid. ( )
Third, multiple choice questions
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. Of the six faces of a cuboid (excluding cubes), there are at most () squares.
A.2 B.4 C.6
3. At least () identical cubes are needed to form a new cube.
16
4. When the side length of a cube is enlarged by 3 times, its surface area is enlarged ().
A.3 times B.6 times C.9 times D.27 times
5. Enlarge the side length of the cube by four times, and its volume will increase ().
A.4 times B. 16 times C.64 times
6, there is a cuboid with a bottom area of 4 square meters, its volume is 0.2 cubic meters, and its height is ().
A.0. 1m B.0.05 C.5m
Four, the following two groups of figures each have a different number from other figures, please cross out this number in brackets.
( ) ( ) ( ) ( )
( ) ( ) ( ) ( )
Sixth, solve the problem.
1. Dig a cuboid bunker 4 meters long, 2 meters wide and 0.5 meters deep ... How many square meters is this bunker? How many cubic meters of sand does it take to fill it?
A swimming pool is 60 meters long and 30 meters wide. When the average water depth is 1.5m, how many cubic meters is the water in the swimming pool?
3. Pour a cube water tank with a length of 4 cm on each side into another cuboid water tank with a length of 0.8 m and a width of 25 cm. How deep is the water?
4. 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?
5. Find the volume of a cuboid with a square bottom, with a circumference of 24 cm and a height of 10 cm.
How thick can 240 cubic meters of soil be laid on a flat land with a length of 6.60 meters and a width of 40 meters?