The cross-sectional area of a cube is 64 square meters. What is the volume of this object in cubic meters?
A 6-meter-long rectangular column was cut into two sections from the side, and the surface area was increased by 600 square decimeters. What is the volume of this column?
A cube with a side length of 8cm is filled with water. Pour the water into a rectangular container. The length of the container is 10 cm, the height of the water is 30 decimeters, and the width of the rectangular container is how many centimeters?
There is a cube with a side length of 10 decimeter. Now, a cuboid with a length of 8cm, a width of10cm and a height of 4cm is filled with water and poured into the cube. What is the water level of the cube?
A cuboid container with a side length of 6 cm is filled with water and poured into a cuboid container with water, and the water level of the cuboid is from 13.
When the centimeter rises to 24 centimeters, how many square centimeters is the bottom area of a cuboid?
How many cubes can you make from a cube with a side length of 6 decimeters to a cube with a side length of 2 decimeters?
How many small cuboids can be made by making a cuboid plasticine with a length of 8 cm, a width of 6 cm and a height of 4 cm into a cube with a width of 2 cm and a height of 1 cm?
A rectangular box with a length of 20 decimeters, a width of 15 decimeters and a height of 7 decimeters can be put into a cubic carton with a side length of 2 decimeters. How many cartons can you put at most?
1. Fill in the blank: (45 points)
The (1) cuboid has () faces, all of which are () shaped, (there may be two opposite faces that are () shaped), and the area of the opposite faces is (); A cuboid has () sides and the length of the opposite side is (); A cuboid has () vertices.
(2) The side length of a cube is 1.5 decimeter, and the sum of all the side lengths is () decimeter.
(3) Use a wire with a length of 132 cm to form a cube model, and the side length should be () cm, as shown in the figure below.
Around the fruit is a cuboid model, the sum of its length, width and height is () cm.
9.3 cubic meters = () cubic decimeter 1 1.8 cubic decimeter = () cubic centimeter.
3540 cubic centimeters = () cubic decimeter 1.2 cubic decimeter = () liters = () milliliters.
7504g = () Kg 6 m3 40 m3 decimeter = () m3.
38 ml = () liter 36 square decimeter = () square meter
(7) The rectangular box is 8 cm long, 5 cm wide and 5 cm high, and its surface area is () square cm.
(8) A rectangular body length 1.6 meters, half width, 0.5 meters high, and the volume is () cubic meters.
(9) A cube with a surface area of 96 square centimeters has a volume of () cubic centimeters.
(10) To make a drawer with a length of 50 cm, a width of 40 cm and a depth of 16 cm, the carpenter should use at least () square centimeters of wood.
2. Multiple choice questions: (15)
(1) A water tank can hold 80 liters of water at most, so we say that the () of this water tank is 80 liters.
A bottom area b surface area c volume d weight
(2) When two cubes with side length of 10 cm are combined into a cuboid, the surface area decreases by () order.
Square centimeters. A 100 B 200 C 80 D 1000
(3) A rectangular steel with a cross-sectional area of 1 10 cm2, a length of 0.5m and a volume of () cubic.
Centimeter. A 55 B 5500 C 550 D 55000
(4) The side length of a cube is one meter. If its height is increased by 3 meters and it becomes a cuboid, its volume ratio is.
The original cube is increased by () cubic meters. A 9a B 6a2 C 3a2 D 3a
(5) 3.5 () Sand can be put in the bunker on the school playground.
One cubic decimeter b liter c cubic meter d cubic centimeter
3. Application questions: (40 points)
(1) How many square centimeters of glass do you need to make a rectangular glass jar with a length of 60cm, a width of 60cm and a height of 40cm? How many square meters?
(2) A rectangular tin gasoline tank, measured from the inside, is 5 decimeters high, 4 decimeters long and 4 decimeters wide. How many liters of gasoline can this tank hold at most?
(3) The cuboid water tank has a capacity of 320 liters. The bottom of this water tank is a square with a side length of 8 decimeters. What is the height of the water tank?
(4) A classroom is10m long, 6m wide and 4m high, with the area of doors and windows19.6m2.. Paint the walls and ceilings of the classroom. If you use 0.25 kilograms of paint per square meter, how many kilograms of paint does * * need?
(5) A rectangular iron sheet, 26 cm long and 16 cm wide, with 3 cm sides cut off at each corner.
Square meters, and then welded into an open iron box. What is the volume of this iron box?
(6) In a rectangular container with a length of 20 decimeters and a width of 15 decimeters, there is water with a depth of 20 decimeters. Now sink a cubic iron block 30 cm long into the water. What is the water depth in the container at this time?
(7) There is a rectangular piece of iron, 30 cm long and 20 cm wide. Cut a small square with a side length of 2 cm on each corner of this iron sheet, and then make it into a rectangular box without a cover.
(1) Find the volume of this box.
(2) How many square centimeters of iron was used to make this box?