1. How long does it take to make 10 8 cm long cubic iron frames?

2. Make an iron box with iron sheet so that its length, width and height are 1.8 decimeter, 1.5 decimeter and 1.2 decimeter respectively. How many square meters does it take to make such an iron box?

3. How many square meters of glass does it take to make a 3-minute uncovered cube glass fish tank?

Our school will paint the classroom, which is 8 meters long, 7 meters wide and 3 meters high. After deducting the area of doors, windows and blackboards, it is known that 5 yuan painting costs per square meter. How much does it cost to paint a classroom?

A commodity box is a cube with a side length of 6 cm. What is the maximum area of a box with a trademark?

6. The length, width and height of woodcut are 2.8 decimeters, 1.5 decimeters and 2.2 decimeters respectively. How many square meters of wood carving does it take to make five such drawers?

7. There is a fish pond with a length of 18m, a width of 12m and a depth of 3.5m Cement should be coated around the fish pond to prevent water seepage. If water is used per square meter,

5 kilograms of mud, how many kilograms of cement does a * * * need?

8. The processing factory will process a batch of TV sets. (No bottom) Each TV is 60 cm long, 50 cm wide and 55 cm high. How many square meters of cloth does it take to make 1000 sets?

9.24 rectangular iron chimneys, each 2m long, 4m wide and 3m high. How many square meters of iron do you need?

10, rectangular goldfish bowl, 8 cm long, 5 cm wide and 6 cm high. I accidentally broke the front glass, and the matching area of the glass during maintenance was ().

Volume calculation

1, a rectangle is 4 decimeters long, 2.5 decimeters wide and 3 decimeters high. How many cubic decimeters is its volume?

2. A cuboid bunker is 4m long, 2m wide and 0.5m deep. If the yellow sand weighs 1.4 tons per cubic meter, how many tons does it weigh?

3. There is a kind of rectangular steel, which is 2 meters long and the cross section is a square with a side length of 5 centimeters. Each cubic decimeter of steel weighs 7.8 kilograms. How much does this square steel weigh?

4. What is the volume of a cuboid with a base area of 30 square decimeters and a height of 3 meters in cubic decimeters?

5. Writing head 1.3m, 0.6m wide and 0.8m high. How much space does 20 such desks need?

6. A 5-meter-long cube fish tank is filled with water. Pour water into a rectangular fish tank with a bottom area of 48 square decimeters and a height of 6 decimeters. How deep is the water in the fish tank?

7. A cubic water tank with a side length of 8 decimeters can hold 490 liters of water. Pour water into a cuboid water tank with a length of 10 decimeter, a width of 7 decimeters and a height of 8 decimeters. What is the depth of the water tank?

8. Forging a cubic blank with a length of 8 cm into a rectangular steel plate with a length of 16 cm and a width of 5 cm. How thick is this steel plate? (excluding losses)

9. A cuboid oil drum with a bottom area of 18 square decimeter can hold 43.2 kilograms of oil. If each liter of oil weighs 0.8 kg, what is the height of oil in the oil drum?

10, a rectangular iron sheet, 30cm long and 25cm wide. Cut a square with a length of 5cm from each of the four corners to make a box without a lid. How much iron is used in this box? What is its volume?

1 1. Cut a rectangular wooden board with a length of 26dm, and cut a square with a side length of 3 m at the four corners to make a cuboid container with a volume of 840 cubic decimeters. What was the initial width of this board?

12. A rectangular swimming pool is 60m long, 30m wide and 2m deep. How many square meters is this swimming pool? Draw the water level line with red paint along the inner wall of the swimming pool at 1.5 meters. How long is this line? Now the water in the swimming pool just reaches the water level. What's the volume of water in the pool?

13. A rectangular glass jar, measured from the inside, is 40 cm long, 25 cm wide and 12 cm deep. After a stone is immersed in water, the water surface rises to 16 cm. Find the volume of the stone?

Comprehensive exercises of volume and surface area

1, 80 squares are piled up into a cuboid with a length of 2m, a width of 2m and a height of1.5m. What is the average volume of each square? How many cubic decimeters?

2. What is the volume and surface area of three cubes with a side length of 8 cm, which are combined into a cuboid?

The furniture factory ordered 500 square logs, each with a cross-sectional area of 25 square decimeters and a length of 3.8 meters. What is the volume of these logs?

4. Put two cubes with side length of 1.5 decimeter into a cuboid. What is the volume and surface area of this cuboid?

5. The surface area of a cuboid is 156 square decimeter, the bottom area is 30 square decimeter, and the perimeter of the bottom surface is 32 decimeter. What is the volume of this cuboid?

6. How many cuboid blocks with a length of 8cm, a width of 12cm and a height of 5cm can be sawed into cubes with a length of 2cm?

7. A rectangular piece of wood with a square bottom is 5 meters long. Cut into 4 sections to increase the surface area by 36 square meters. What is the volume of this cuboid?

Fraction application problem

1., 12 sweets, distributed to 3 people on average, how many sweets does each person get?

2, 12 candy, distributed to three people on average, how many of these sweets does each person get?

Five apples are distributed to eight people equally. How many apples does everyone have? How many apples can everyone get?

4. In the fifth grade, there are 23 boys and 25 girls. What is the percentage of girls to boys? What is the percentage of boys and girls in this class?

6. Divide 3 tons of rice into 5 parts on average. How many tons per serving? How much is the rice per serving?

7. There are 280 comic books and 140 literature books in the school library. How many comic books are there? Which part of a comic book is a literature book?

8. The number of students in Class 3, Grade 5 in Shengli Primary School who reached the standard was 24, and the number of students who failed to meet the standard was 12. What percentage of students in this class have reached the standard?

9. Master Wang processes 34 parts in 6 hours, and Li Shifu processes 40 parts in 7 hours. Who is more efficient?

10. A book has 185 pages. After reading 95 pages, what percentage of this book have you read? What percentage of unread pages are in this book?

1 1. There are 25 sika deer and 5 giraffes in the zoo. How many times are sika deer more than giraffes? How many giraffes are there more than sika deer?

12. There is a piece of wood. Cut off 2/5 meters for the first time and 7/ 10 meters for the second time, leaving 4/ 15 meters. How long is this piece of wood?

12. Some fruit trees are planted in the orchard, among which litchi trees account for 12/27, longan trees account for 12/25, and the rest are Myrica rubra. What percentage of Myrica rubra accounts for the total?

13. Mom bought 600g of oil, and used 1/3 on the first day and 1/4 on the second day. How much oil is left? ,

Comprehensive exercise

1.m: Students in our class 1/4 joined the choir. Language: 2/8 students in our class participated in the model airplane group. Female: Eight students in our class took part in the sports group.

There are 40 students in this class. Which group has fewer students? What are the numbers of the other two groups?

A cuboid reservoir is 8m long, 5m wide and 3m deep. What is the area of this reservoir? How many cubic meters of water can it hold at most?

Xiaoming's father made a cube fish tank with a length of 6dm out of glass. How many square meters of glass does it take to make this fish tank? Xiaoming injected 144L water into the fish tank. What is the height of the water?

5. In the last four quarters, Machine Tool Plant has completed the annual tasks of 1/6, 1/5, 4/ 15 and 7/ 10 respectively. How many points did you exceed last year's annual plan?

6. A batch of steel was sent from the construction site, including 2 tons of round steel, 2/5 tons of square steel and other steel 1/7 tons. How many tons of steel are there?

7. look for it

A two-digit number, the number of ten digits is exchanged with the number of one digit, and the two digits obtained are still prime numbers. Write two such two-digit numbers.

8. Step into life

Students from Class Five, Grade Five lined up to perform. There are 12 or 16 people in each row. It is understood that there are less than 50 students in this class. Can you figure out how many students there are in this class?

1: There are 90 ping-pong balls in the sporting goods. If every two are packed in a box, can they be packed properly? If you pack a box every five, can you finish it? Why?

90#2=45 boxes

90#5= 18 boxes

A: If every two are packed in a box, they can be packed accurately. If every five are packed in a box, it can also be packed accurately. Because 90 is divisible by 5.

There are 57 balls in the sporting goods store, and every three balls are packed in a box. Can they be properly packed?

57#3+ 19 cases

A: I can just finish it.

3: A and B type a document of 10000 words, A type 1 15 words per minute, and B type 135 words per minute. How many minutes will it take?

10000 # (115+135) = 40 points.

A: It will be completed in 40 minutes.

4. Grade five students plant trees, 13 or 14. Each group has just finished. How many students took part in planting trees in grade five?

13X 14= 192 people

Answer: At least 192 people participated in tree planting in the fifth grade.

Although the following questions belong to practical problems, they are related to equations. I solved it with equations.

5: Two cars go back and forth from one place. One car has a speed of 365,438+0 kilometers per hour, and the other car has a speed of 44 kilometers per hour. How many minutes later, the two cars are 300 kilometers apart?

Equation:

Solution: Two cars meet after X point.

3 1X+44X=300

75X=300

X=4

4 hours =240 minutes

Answer: After 240 minutes, the distance between the two cars is 300 kilometers.

6: Two engineering teams will excavate a tunnel with a length of119m, and two teams will carry out construction from both ends. Team A digs 4 meters every day, while Team B digs 3 meters every day. How many days does it take to dig the tunnel?

Solution: Set X days to dig tunnels.

3X+4X= 1 19

7X= 1 19

X= 17

Answer: 17 days, the tunnel was dug.

7. School chorus and dance team 140 people. There are six times as many people in the chorus as in the dance team. How many people are there in the dance team?

Solution: There are X people in the dance team.

6X+X= 140

7X= 140

X=20 people

A: There are 20 people in the dance team.

From here on, this is not an equation problem.

8. The two brothers walked from home to the gym at the same time, with a length of 1300m. My brother walks 80 meters per minute, and my brother rides his bike to the gym at a speed of180 meters per minute, and will be right back. On the way, he met his brother. How many minutes did my brother walk?

1300x2 = 2600m 2600#( 180+80)

=2600#260

= 10 point

Answer: At this time, my brother left 10 minutes.

At 9 o'clock on Children's Day, Mr. Wang bought 360 biscuits, 480 sweets and 400 fruits, made a beautiful gift package and distributed it to the children as gifts. How many gift packages can he make at most?

360+480+400= 1240

Answer: You can make at most 1240 small gift packages.

10: Naughty bought 40 balloons and invited his classmates to blow them at home. In order to share the balloons equally, how many students should be invited to blow them? Naughty not to participate.

40#2=20 people 40#4= 10 people 40#5=8 people.

40#8=5 people 40#@0=4 people 40#20=2 people.

A: There are six ways to invite students, namely: 20, 10, 5, 8, 4 and 2.

1 1: trapezoidal corn field with upper bottom 15m, lower bottom 24m and height 18m. There are 9 corn plants per square meter on average. How many corn can be planted in this field?

( 15+24)x 18 # 2 = 35 1 m2

35 1X9=3 195 strain

A: This land can grow 3 159 maize plants.

12: The number of students in a class is less than 100. When waiting in line, there is just one more person in each row of 5, 4 or 3 people. How many people are there in this class?

5X4X3=60 people 60+ 1=6 1 person

A: There are 6 1 person in this class.

13: Wang Yue has a box of chocolate candy. The number of chocolates every 7, 5 and 3 is 1. How many chocolates are there in this box?

7X5X3= 105 capsules 105+ 1= 106 capsules.

There are at least 106 chocolates in this box.

14: There is a rectangular tunnel with a length of 15 m and a width of 1.2 m in Chenguang Community, which needs to be paved with square bricks. The designer prepared a square brick with a side length of 30 cm. Please calculate: how many such bricks are needed? If each square brick is 3 yuan, how much will it cost to build this tunnel?

15m = 150 decimeter 1.2m = 12 decimeter 30cm =3 decimeter.

150x12 =1800 square decimeter 3X3=9 square decimeter.

1800#9=200 yuan 200X3=600 yuan.

Answer: We need 200 such square bricks, and we need 600 yuan.

15: There are two parallelogram experimental fields with the same area. One is 70 meters long, 45 meters high and the other is 90 meters long. What's your height?

70x 45 = 3 150 m2 3 150 # 90 = 35m。

A: The height is 35 meters.

16: A batch of steel pipes are piled into a pile, with the bottom layer 10, the top layer 1 less 1 less, and the top layer 1 less. How many steel pipes are there in this batch?

10-5+ 1=6 floors (10+5)X6#2

= 15X6#2

=90#2

=45 pieces

A: There are 45 steel pipes in this batch.