Fill in the blanks
1, cuboids and cubes have () faces, () sides and (? ) vertex.
2. Make a rectangular frame with a length of 8 cm, a width of 5 cm and a height of 4 cm. ) cm conductor, this is to find a cuboid (? ); If you stick a plastic plate on the surface of the frame, use (? ) a square centimeter plastic plate, it is a cuboid (? ), this cuboid occupies () cubic centimeters of space, which is (? )。
3. Fill in the appropriate numbers in the brackets.
90020 cubic centimeters = () liters
3.02 cubic decimeter = () cubic centimeter?
38 cubic meters = (? ) cubic centimeter
800 cubic decimeter = (? ) cubic meters?
3600 ml =(？ )l？
4600 ml = () cubic decimeter
0.7 cubic meter = () cubic decimeter = (? ) liter
1840l = (? )l(？ )ml
4. The cuboid has a volume of 96 cubic decimeters, a bottom area of 16 cubic decimeters and a height of (? ) decimeter.
There is a cuboid wood with a length of 3 cm, a width of 3 cm and a height of 2 cm. Cut it into cubes of 1 cm3. ) block.
6. Use a line with a length of 12 decimeter to form a frame with the largest cube shape. What is the volume of this cube? ) cubic decimeter.
7. Fill in the appropriate unit name in brackets.
Flagpole height 15 ()
A classroom accounts for about 80 (? )
The volume of a brick is about 1.5 ()
Tank volume 16 ()?
The volume of a math book is about 150 ().
The area of the desktop is 30 ()
8. The sum of the sides of a cube is 108 decimeter. The surface area of this cube is () square decimeter and the volume is () cubic decimeter.
9. The surface area of a cube is 72 square decimeters, and the area is (? ) Square decimeter.
10 A brick with a length of 25 cm, a width of 12 cm and a thickness of 8 cm occupies () cubic centimeters and the largest area is () square centimeters.
1 1, the side length of a cube is one centimeter, and its surface area is (? ) square centimeter, the volume is () cubic centimeter.
12. Glue three cubes with a side length of 4 decimeters together to form a cuboid. The surface area of a cuboid is () square decimeter smaller than that of three cubes. The volume of the synthesized cuboid is (? ), the surface area is ().
13, a cuboid is divided into two cubes on average, and the side length of the cube is 4 meters, so the surface area of this cuboid is (? ), the volume is (? )。
2. Multiple choice problem
1. How many iron sheets does it take to process a cuboid fuel tank? Is it for this fuel tank? )
A, surface area b, volume? C, volume
2. For a cube with a side length of 4 decimeters, the sum of the side lengths is (? ) decimeter
a、 16 B、24 C、32？ Day 48
3. With a 52 cm long lead wire, it can be welded to a length of 6 cm, a width of 4 cm and a height of (? ) a centimeter cuboid teaching aid.
a、2 B、3？ c、4？ d、5
4. After three cubes with side length of 1cm are arranged in a row, their surface area is ().
A, 18 cm2? b， 14cm2， 16cm2
If the side length of a cube is expanded by 3 times, its volume will be expanded by () times.
a、3？ b、9？ c、27 D、 10
6, from a cuboid block with a volume of 30 cubic centimeters, after digging a small piece (as shown on the right), its surface area (? ) 。
A. the same age as before? B.smaller than before
C. bigger than before? D. unable to judge
7. The volume of the pencil case is compared with that of ().
A. Large volume B. Large volume? C. Equality
8. The computer monitor covers an area of 9 () and occupies 27 ().
A. square centimeters? Cubic decimeter square decimeter cubic centimeter
9. Compared with the surface area and volume of a cube with a length of 6 cm, (? )
A. large? B. large surface area C. equal? D. unable to judge
10. A large cube with a side length of 1 cm and a volume of 1 cubic decimeter.
1000
Three. true or false question
1. Cube is a special cuboid. ( )
2. The progress rate between unit of volume is 1000. ( )
3. It is impossible for all six faces of a cuboid to have squares. ( )
There is 500 ml of water in the bottle, and its volume is 500 ml. ( )
5. unit of volume is greater than the area unit. ( )
6. When the side length of a cube doubles, its volume will also double. ( )
7. Observing a cuboid from different angles can see at most three faces at the same time. ( )
8. A three-dimensional figure with 6 faces, 12 edges and 8 vertices is either a cuboid or a cube. ( )
9. All six faces of a cuboid are rectangles, and all six faces of a cube are squares. ( )
10.6 squares can form a cube. ( )
1 1. The areas of two adjacent faces of a cuboid must be unequal. ( )
Four. Computational graph
Find the sum of the side length, surface area and volume of each figure below. (Unit: cm)
Verb (abbreviation of verb) application problem
1. How many square decimeters of glass do you need to make a rectangular fish tank with no cover, which is 8 decimeters long, 3 decimeters wide and 5 decimeters high?
2. A section of square steel is 1m long and the cross section is a square with a side length of 5cm. If steel weighs 7.8 grams per cubic centimeter, how many kilograms does this square steel weigh?
There is a cuboid bunker in the school, which is 4m long, 2m wide and 0.5m deep. The existing yellow sand is 3.2 cubic meters. How thick can it be laid?
4, a flower bed, 0.5 meters high, the bottom is 1.3 meters square. Brick laying around, brick wall thickness of 0.3 meters, filled in the middle.
(1) What is the floor area of the flower bed?
(2) How much space does the flower bed occupy?
(3) How many cubic meters of soil are there in the flower bed?
5. The bottom area of rectangular water tank is 12 square decimeter. Xiaohua dipped a shot put into the water, and the water level rose by 3 cm (the water did not overflow). How many cubic centimeters is the volume of this shot put?
6. The flat-topped classroom in the school is 8.5 meters long, 6 meters wide and 4.2 meters high. Paint the top and four walls of the classroom. The area of doors, windows and blackboards in the classroom is 35.8 square meters. How many square meters is the area to be painted?
7. Wrap a rectangular gift box with a ribbon, and the knot needs 10 cm. What is the total length of the ribbon used?
8. There is a cubic lead block with a side length of 2 decimeters. Now it is cast into a rectangular lead block. It is known that the cuboid lead block is 40 cm long and 10 cm high. How long is it? If lead weighs 2 grams per cubic centimeter, how many kilograms does this lead weigh?
9. A rectangular fish tank, 80cm long, 60cm wide and 40cm deep. Immerse an iron block with a length of 30 cm and a width of 24 cm in water, and the water level will rise by 9 cm, thus finding the height of the iron block.
10, the length, width and height of a rectangular block are 1 decimeter, 0.6 decimeter and 0.5 decimeter respectively.
(1) Make this square the largest cube. What is the volume of this cube?
(2) If this piece of wood is cut into cubes with a side length of 2 cm, how many cubes can be cut (not spliced) at most?
1 1. A container with a length of 7 meters, a width of 3 meters and a height of 4 meters should be packed in a wooden box with a side length of 15 decimeter. How many such wooden cases can this container hold?
12. There is a cube with a side length of 10 decimeter, and all six sides of it are painted yellow. Cut it into cubes with a side length of 10 decimeter. How many small cubes are all yellow on three sides? How many cubes are painted yellow on both sides? How many cubes are painted yellow on 1?
13, a cube, painted red on each side, and then cut into small cubes with a side length of 1 cm. It is known that both sides are coated with 96 small cubes. Find the side length of a large cube.