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?

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?


1. The area of a face can be obtained by 8.64 △ 6
2. Edge length 3cm
If you draw a three-dimensional diagram, you can see that the cube has 12 edges, the total is 36, 36 △ 12 = 3cm
3. Edge length and 60 cm
∵ square area = the square of the side length, and because the square of the side length is 25, the side length is 5 cm, the cube has 12 edges, and the sum of the edge length is 60 cm
4.3 cm
Each rectangle has four heights, four widths and four lengths, so the sum of one length, one width and one height is 48 △ 4 = 12
The height of one is 12-5-4 = 3
(the fifth question needs to be discussed in different categories with insufficient conditions)



If the height of a cube increases by 2 decimeters, the surface area will increase by 48 square decimeters. What is the surface area of the cube?


The side length of the cross section of the increased cuboid is: 48 △ 2 △ 4 = 6 (decimeter), so the surface area of the cube is: 6 × 6 × 6 = 216 (square decimeter). Answer: the surface area of the cube is 216 square decimeter



The surface area of a cube is 24 square decimeters. What is the volume of the cube?


The formula for calculating the surface area of a square is side length multiplied by side length multiplied by 6, right? Divide the surface area by 6 to get side length multiplied by side length, 24 △ 6 = 4, 4 is the product of side length multiplied by side length, 4 = 2 × 2, so the side length is 2 cm. After obtaining the side length, the volume is easy. The volume of a square is a × a × a, = 2 × 2 = 8 cubic cm
Do you know?



The surface area of a cube is 24 square decimeters. After being divided into eight small cubes, how many square decimeters is the sum of the surface areas of the eight small cubes?


24 △ 6 = 4 (square decimeter), 24 + 4 × 6 = 24 + 24 = 48 (square decimeter)



The surface area of a cube is 24 square meters. How many cubic meters is its volume?


Because a cube has six faces, first calculate the area of a face 24 / 6 = 4 (M2), because 2 * 2 = 4 (m), the edge length is 4 m, because the bottom area multiplied by height equals volume, 4 * 2 = 8 (M3)
So, the volume is 8 m3



The height of a cube increases by 2 decimeters, and its surface area increases by 24 square decimeters. What is the volume of the cube
No way


Perimeter of bottom surface = 24 △ 2 = 12 decimeters
Side length = 12 △ 4 = 3 decimeters
Volume = 3 × 3 × 3 = 27 cubic decimeter
A: the volume is 27 cubic decimeters



The volume of the box is known to be 400cm & sup2;
Find the side length of a small square cut from the sheet iron


Let the side length of a small square be x cm, X (18-2x) & sup2; = 400. X = 4 (CM)



A 30 cm long, 26 cm wide rectangular cardboard in its four corners of each cut off, side length is 4 cm square, folded into a carton without cover
Find the surface area and volume


Length of cuboid = 30-2x4 = 22 cm
Cuboid width = 26-2x4 = 18 cm
Height of cuboid = 4cm
The surface area of the cuboid is 22x18 + (22x4 + 18x4) x2 = 396 + 320 = 716 square centimeters
Cuboid volume = 22x18x4 = 1584cm



Cut and paste a piece of square paper with side length of 20 cm into a cuboid carton without cover (regardless of loss and seam), so that its volume is more than 600 cubic cm
Please draw a cutting diagram, mark the main data and calculate the volume


Sakura248: Hello
We can think like this:
If the top angle of the second sheet coincides with the center of the previous sheet, then their overlapping part accounts for one fourth of each sheet
20 sheets of paper are arranged in order, with 19 overlaps
10 & sup2; cm2 × 20 - (10 & sup2; cm2 × 1 / 4 × 19)
=2000 sq cm - 475 sq cm
=1525 square centimeters
A: the floor area covered is 1525 square centimeters
Are you right? Good luck. Goodbye



There is a piece of square paper with a side length of 20 cm, which is planned to be cut and pasted into a cuboid carton without cover (regardless of loss and seam), and the volume should be more than 600 cubic cm
A. Calculate the volume of the carton
B. Indicate the number of centimeters of length, width, and height
Before eleven o'clock!


The length shall be taken as the whole centimeter
Length 18 width 18 height 1 volume 324
Length 16 width 16 height 2 Volume 512
Length 14 width 14 height 3 volume 588
It is impossible to make his volume larger than 515 cubic centimeters and smaller than 585 cubic centimeters