First, think carefully and fill it out correctly. (Per grid 1 minute, ***26 points)
1, the average of a and b is 17.5, and c is 25. The average of these three numbers is ().
The average of some five numbers is 60. If one of them is changed to 80 and the average is 70, the number becomes ().
3. Fill in the appropriate unit name in the brackets below.
The volume of an elephant hide is about 10 (), and the space occupied by a classroom is about 160 ().
The area of a lecture table is 80 (), and the volume of motorcycle fuel tank is 8 ().
4. 1 m 20 cm = () m 5.2 l = () cubic decimeter () cubic centimeter.
35 square decimeter = () square meter 4050ml = () liter () ml.
5. A cuboid wooden box with a length of 6 decimeters, a width of 5 decimeters and a height of 0.4 meters, with an area of () square decimeters, a surface area of () square decimeters and a volume of () cubic decimeters.
6. Weld a cubic frame (excluding joints) with 48cm long iron wire. The surface area is () square centimeters and the volume is () cubic centimeters.
7. The side length of the cube is expanded by 3 times, the surface area is expanded by () times and the volume is increased by () times.
8. A cuboid block is 6 cm long and 4 cm wide. 3 cm tall. If you cut it into small squares of 1 cubic centimeter, you can cut out () blocks.
9, a rectangular piece of wood, 8m long, cross-sectional area of 0.09m 2, the volume of this piece of wood is ().
10, saw a 3-meter-long square wood into five sections along the cross section, and the surface area increased by 120 square decimeter. It turns out that the volume of this square wood is ().
1 1. The circumference of the bottom of the cube is16cm, the surface area is () cm2, and the volume is () cm3.
12. Two identical cuboids are spliced into a new cuboid. Due to the different splicing methods, the surface area decreased by 18 square decimeter, 14 square decimeter and 26 square decimeter respectively. The original surface area of each cuboid is () square decimeter.
13, paint the surface of a cube full red, and then cut it into 27 small cubes (as shown on the right), so there are () small cubes with red sides.
14, a cuboid with a square bottom. Cut this cuboid into two sections, which are exactly two identical cubes. The surface area of this cuboid has () small squares as the original bottom area.
Second, carefully scrutinize and analyze. (Mark "√" in brackets for the right and "×" for the wrong) (14 points)
1, the average of several numbers must be less than each of these numbers.
2. The infusion bottle contains 500ml of liquid medicine, and the volume of the infusion bottle is about 500ml. ( )
3. Two cuboids with the same surface area must have the same volume. ( )
4. The six faces of a cuboid can only be rectangles, not squares. ( )
5. A cube with a side length of 6 decimeters has the same volume and surface area. ( )
6. After a cubic plasticine is kneaded into a cuboid, although the shape has changed, the space occupied remains the same. ( )
7. Both cuboids and cubes have 6 faces, 12 vertices and 8 edges. ( )
Third, compare repeatedly and choose carefully (please fill in the serial number of the correct answer in brackets). (16)
1, after putting one of his fists into a basin full of water, the volume of water spilled is ().
① greater than 1l and less than 1l ② greater than 1l and less than 1m3.
③ greater than 1 m3, less than1l4 less than 1 ml, greater than1l.
2. The following () small cubes can be combined into a big cube.
①4 ②9 ③ 16 ④64
3, two identical cuboid blocks together into a big cuboid block, the following statement is correct ().
(1) the surface area increases and the volume remains unchanged; ② The surface area decreases and the volume remains unchanged.
③ Both surface area and volume increase; ④ Both surface area and volume remain unchanged.
4, two boxes of the same size, their volume ().
(1) are the same size; (2) Different sizes; (3) not sure.
5, a cuboid and a cube bottom circumference and height are equal, respectively, then the two volumes are compared ().
① The cuboid is large; ② The cube is big; ③ Can't be as big as ④.
6, known as a > b > c, the average of these three numbers is ().
① Less than A, greater than B, greater than C, less than A, less than B, greater than C, greater than A and less than C..
7. Eight small cubes are combined to form 1 large cube. If a small cube is taken, its surface is larger than the original one ().
① Increase ② Decrease ③ No change ④ Unable to judge.
Xiao Ming looks at the same cube from different directions. In the picture below, () shows him from the front.
① ② ③
Four, start drawing, fill in (10)
Xinhua Bookstore's book sales statistics in the first quarter of 2004 are as follows.
Count (measure) months
diversification
January
February
March
readings for children
780
640
580
Adult reading materials
650
820
900
According to the data in the table, complete the following statistical chart.
Sales Statistics of Xinhua Bookstore in the First Quarter of 2004
time
Children's books and adult books
Children's books and adult books
Unit: book
1 month, February and March
(1) () The most popular children's books are ().
(2) In the first quarter, () books sold well, and * * * sold more () books.
(3) The average monthly sales volume of adult books is ().
(4) What information can you get from the pictures?
6. Go into life and solve problems. (34 points)
1, the following is the family housing survey statistics of three students in class 5 1.
Please fill in the form completely.
(full name)
number of people
Total living area (square meters)
Per capita living area (square meters)
Little Red
three
90
Xiao Ming
130
26
Xiaoqing
four
32
According to the table analysis, () home is crowded and () home is spacious.
Please calculate, what is the average living area of these three families?
2. Build a 2.5m long,1.4m wide and 4cm high podium in the new classroom.
(1) If 525 bricks are used per cubic meter, how many bricks does a * * * need?
(2) If the platform is plastered with cement, what is the plastering area?
3. Knead a cubic plasticine with a side length of 3 cm into a cross-sectional area of 4 cm 2.
What is the length of this cuboid?
4. A cuboid fuel tank has a square bottom with a side length of 4 cm and a height of 6 cm. How many square meters of iron sheet does it take to make such an oil tank? If each liter of gasoline weighs 0.74 kilograms, how many kilograms of gasoline can this oil drum hold at most?
5. A section of rectangular steel, with a length of1.6m and a cross section of 4cm square. It weighs only 7.8 grams per cubic centimeter. How much does this square steel weigh?
6. The distance between Party A and Party B is120km. It took someone five hours to get from A to B by bike, and it took four hours to speed up when he came back. How many kilometers does he drive per hour on average?
7. Schools should paint classrooms. The library classroom is 9m long, 6m wide and 3m high. Excluding doors and windows, the area is 12.3㎡. If it takes 5 yuan to paint every meter you visit, how much will it cost to paint this classroom?
8. How many square meters of glass do you need to make a rectangular fish tank without a cover? It is 6 decimeters long, 4 decimeters wide and 5 decimeters high? Now the water depth of this fish tank is 2 meters. What is the volume of water in the fish tank? (excluding glass thickness)
You're amazing! Check it carefully, more care, more success!