The fifth grade, the second volume, Mathematics Western Teacher Edition

Unit 3 Mathematics Examination Questions of Grade Five in Primary School

I. Fill in the blanks (30 points)

1, expand the edge of the cylinder to get a rectangle, whose length is the bottom of the cylinder () and its height is the cylinder ().

2, 2. 1 square meter = () square meter () square decimeter.

0.04 cubic meter = () cubic decimeter = () cubic centimeter.

3. The bottom area is 3 square meters, the height is () meters, and the volume is 12 cubic meter.

4. Twenty-four cones can be cast into () cylinders with equal bottom and equal height.

5. The volume of a cone is smaller than that of a cylinder with the same height as its bottom surface ().

6. The side area of the cylinder is 3 1.4cm2, the height is 5cm, the perimeter of the bottom surface is (), and the volume is ().

7. The radius of the bottom of a large cylinder is twice that of a small cylinder, the height of the small cylinder is 1/3, and the volume of the small cylinder is () times that of the large cylinder.

8. The volume difference between a cylinder with the same base and the same height and a cone is 12 cubic centimeter, so the volume of this cone is () and the volume of the cylinder is ().

Second, the judgment (10)

1, the cylinder is a three-dimensional figure surrounded by a plane. ( )

2. The volume of the cone is equal to 1/3 of the volume of the cylinder. ( )

3. The height of the cylinder is constant, the radius of the bottom surface is enlarged by 2 times, and the volume is also enlarged by 2 times. ( )

4. The transverse area of a cylinder is equal to the bottom area multiplied by the height. ( )

5. Saw a piece of cylindrical wood with a length of 1 meter and a bottom radius of 1 decimeter into two sections, and the surface area increased by 6.28 square decimeter. ( )

Iii. Selection (10 score)

1, calculate how much iron is used to make a chimney, which is to find the () of this chimney.

① lateral area ② Surface area ③ Volume ④ Volume.

2, a cylinder, the cross section is divided into three small cylinders, its ()

① The volume and surface area have not changed; ② Both volume and surface area have changed.

③ The volume has not changed, but the surface area has increased; ④ The surface area has not changed, but the volume has increased.

3, the volume and height of the cylinder and the cone are equal, the bottom area of the cylinder is 6 square decimeters, and the bottom area of the cone is ().

①3 square decimeter ②6 square decimeter ③ 18 square decimeter ④24 square decimeter.

4. Process a cylindrical wood into a conical teaching aid with equal bottom and equal height, and cut off part of the volume of the cylindrical wood of chopsticks ().

① 1/2 ② 1/3 ③2/3

5. Make a tin bucket, and the approximate method of calculating the area with tin is ().

① Rounding method ② Tailing method ③ Entry method

IV. Calculation (15)

1, c = 3 1.4cm, h = 20cm, and find the surface area of the cylinder.

2, D = 1.4m, h=6 decimeters, and find the volume of the cone.

3, r=2 cm, h=3 cm, find the volume of the cylinder.

Five, solve the problem (35 points)

1, cylindrical iron drum with no cover, 24cm high and 20cm bottom diameter. How many square centimeters does it take to make this bucket? What is the volume of this bucket? (Ignore the thickness of iron sheet)

2. The cone-shaped sand pile has a bottom circumference of 62.8m and a height of 6m. If each cubic meter of sand weighs 1.5 tons, how many tons does this pile of sand weigh?

3. The volume of the cylindrical bucket is 48 cubic decimeter, the bottom area is 15 square decimeter, and it holds 3/4 barrels of water. What is the height of the water?

4. The lateral expansion of the cylinder is a square with a side length of 3. 14cm. What is the surface area of this cylinder in square centimeters?

5. A steel pipe is 3m long, 20cm in outer diameter and16cm in inner diameter. If the steel weighs 7.8 grams per cubic centimeter, how many kilograms does this steel pipe weigh?

Attached answer:

One,

1, high perimeter

2、2 10 40 40000

3、 12

4、8

5. three, two

6、6.28cm 15.7cm。

7、 1/ 12

8,6 cc 18 cc

Second, ××××√.

Iii. 13333