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The bottom area of a cube is 25 square decimeters, its surface area is (square decimeters), and its volume is () cubic meters
25=5×5
Its surface area is (5 × 5 × 6 = 150 square decimeters) and its volume is (125) cubic meters
The surface area of a cube is 600 square decimeters. How many cubic meters is its volume?
If the area of one side is 600 / 6 = 100, then the edge length is 10; if the volume is the cube of edge length, then the volume is 10 & sup3; = 1000dm & sup3;
Use a piece of square paper with side length of 20 cm, cut and paste it into a cuboid carton without cover (regardless of loss and seam), if its volume is not enough
Use a piece of square paper with side length of 20 cm to cut and paste it into a cuboid carton without cover (regardless of the loss and seam). If its volume is greater than 550 square cm, please draw a sketch to indicate the main data (I think it's OK to draw or not)
(1) The carton factory you designed is () cm, style () cm and height () cm
(2) What cubic centimeter of volume do you calculate
It's a bonus
(1) The carton factory you designed is (15) cm, the width is (10) cm and the height is (5) cm
A rectangular box with a square bottom is a square with a side length of 12 cm after unfolding its side. How many cubic centimeters is the volume of this box?
Side length of bottom surface 12 △ 4 = 3cm
Volume 3x3x12 = 108 CC
If you don't understand this question, you can ask,
A rectangular box with a square bottom can be assembled into a 12cm square by unfolding its four sides. What is the volume of the box
It's a cubic centimeter
From its four sides, it can be put together into a square with a side length of 12cm. We can see that its height is 12cm and its bottom is 3cm
So volume: 3 × 3 × 12 = 108 cubic centimeter
As shown in the figure, a long shape is exactly divided into six squares, two of which have the same side length. If the side length of the smallest square is 3cm, calculate the area of the rectangle
Let the largest of the six squares be xcm, the smallest of the six squares be 3cm, the other squares be (x-3) cm, (X-6) cm, (X-9) cm, (X-9) cm, x + x-3 = 2 (X-9) + X-6, x = 21, the length of the rectangle is x + x-3 = 39 (CM), and the width is X
As shown in the figure, a rectangle is just divided into six small squares
There is a rectangle as shown in the figure, which is exactly divided into six squares. The smallest square has an area of 1cm ^ 2. What is the area of this rectangle
As shown in the figure, a rectangle is divided into six squares. The smallest square area is 1
In this problem, we only know that the area of the smallest square is 1, that is, its side length is 1cm. Combined with the square condition, we can deduce the side length of other squares, such as "the side length of square e = the side length of square F", "the side length of Square D = the side length of square e + 1", etc
Suppose that the side length of square e is cm, then the original rectangle is cm in length and cm in width
To solve this equation, we have to
At that time,
therefore
A: the area of this rectangle is 143
Note: for problems related to geometric figures, it is necessary to observe and analyze the implied isometric relationship in the figures. At this time, it is necessary to consider the nature of geometric figures. In addition, the area and volume formula of geometric figures should be kept in mind
Use six small squares with side length of 2 cm to form a large rectangle. The circumference of the rectangle may be () cm or () cm
Key points
A small square has a side length of 2 (CM), and a large square has a length of 2 * 3 = 6 (CM) and a width of 2 * 2 = 4 (CM)
Perimeter = 2 * (6 + 4) = 20 (CM) or
The square is 2 * 6 = 12 (CM) long and 2cm wide
Perimeter = 2 * (12 + 2) = 28 (CM)
The circumference of a rectangle is 48 cm. How much is the circumference of a square made up of three identical rectangles
Three widths make one length, that is to say, put three layers to get a square directly. At this time, the length is three times of the width
Then 48 / 2 / 1 + 3 = 6cm wide
6 × 3 = the length of a 18 cm rectangle is also the side length of a square
18 × 4 = 72 cm
Use three squares with a circumference of 17 cm to make a rectangle, and find the circumference of the rectangle
34
RELATED INFORMATIONS
- 1. The bottom area of a cube is 25 square meters, so its surface area is () square meters, and its volume is () cubic meters
- 2. Use a 24 decimeter iron wire to weld the largest cube frame. What is the surface area and volume of the cube
- 3. A 84 decimeter long iron wire is made into a cube frame. The surface area of the cube is () square decimeter, and the volume is () cubic decimeter fast
- 4. A 48CM long iron wire is welded into a cube frame (the joint is ignored). The surface area of the cube is () square centimeter and the volume is () cubic centimeter
- 5. A 48 cm long wire is welded into a cube frame. What is the volume of this frame? Analytical formulation
- 6. A 24 cm long iron wire is welded into the largest cube model. What is the surface area and volume?
- 7. There is a 150cm long iron wire. After welding the wire into a cube, there is 6cm iron wire left. What is the surface area and volume of the cube? 2. When two cubes are used to make a cuboid, the sum of edge lengths is reduced by 32dm, and how much is the surface area reduced? 3. A cuboid is cut into two identical cubes, and the sum of the edges is increased by 24cm?
- 8. A 60 cm long wire is welded into a cube model. What is the surface area and volume of the cube? A school uses lime to paint the four walls and ceiling of the classroom. The room is 8 meters long, 6 meters wide and 4 meters high, deducting 15 square meters of doors and windows. If 0.25 kg of lime is used per square meter, how many kg of lime do you share? I'll see you later, little sister!
- 9. How many cube cartons can be packed in a cube carton with one meter edge length at most (excluding carton thickness)
- 10. How many cubes can a square carton with one meter edge length hold at most
- 11. 1. The surface area of a cube is 8.64 square decimeters, and the area of a surface is () 2. Weld a 36 cm long iron wire into a cube frame. Its edge length is () cm 3. The area of one side of a cube is 25 square centimeters, and the sum of its edges is () centimeters 4. A 48 cm long iron wire can be welded into a cuboid of 5 cm long, 4 cm wide and () cm high 5. After a cuboid block is cut into two pieces, the surface area increases by 12 square centimeters. What is the surface area of this cuboid?
- 12. You want to cut the rectangular paper of 84 cm in length and 72 cm in width into a square paper of the same size to make a lantern. What is the maximum side length of this square paper without any remaining
- 13. How many pieces of rectangular iron pieces, 90cm long and 42cm wide, should be cut into square iron pieces with the same area and the same number of centimeters, if there is no surplus?
- 14. Three equal size squares, put together into a rectangle, the circumference of this rectangle is 24 cm, the side length of each square is 24 cm______ Centimeter. What's the area of this rectangle______ Square centimeter
- 15. A rectangular cardboard, 1.6 decimeters long, 8 cm wide, cut diameter is 4 cm circle, how many can cut at most?
- 16. Draw a quadrilateral with only one axis of symmetry, and then draw a quadrilateral with only two axes of symmetry
- 17. Choice: a rectangle is 12 cm long and 8 cm wide. If you cut a square with 2 cm side length around it, the perimeter of the figure will be left A. Decrease 16cm B, unchanged C, increase 16cm
- 18. There is a 24 cm long, 18 cm wide rectangular iron sheet, which is welded into a box without a cover by subtracting the square with a side length of 4 cm from the four corners, What's the surface area of this box
- 19. You need at least () cm long wire to make a cuboid frame with a perimeter of 18 cm at the bottom and a height of 5 cm
- 20. Make a cuboid oil tank without cover with iron sheet. The bottom is a square with side length of 2 decimeters and the height is 1.5 meters. How much iron sheet do you need to make such an oil tank?