A cuboid is just cut into two identical cubes, and the surface area is increased by 18 square centimeters. The surface area of the original cuboid is () square centimeters

A cuboid is just cut into two identical cubes, and the surface area is increased by 18 square centimeters. The surface area of the original cuboid is () square centimeters


After cutting into cubes, two faces of cubes are added, and the area of each face is 18 △ 2 = 9 square centimeters
The original cuboid is equivalent to the face of 10 cubes
The surface area is: 9 × 10 = 90 square centimeter



When the height of a cuboid is shortened by 3cm, it becomes a cube. At this time, the surface area is reduced by 48CM. What is the volume of the cuboid


Idea: the reduction of surface area is because the area of four sides becomes smaller after the height becomes smaller, and because the shortened side becomes a cube, so the four sides are the same. The shortened side can be regarded as a rectangle, the height is 3cm, and the length is four times the length of the deformed cube
calculation:
48 / 3 = 16cm, edge length = 16 / 4 = 4cm
The height of the original cuboid is 4 + 3 = 7cm
Volume = 4 * 4 * 7 = 112 CC



If the height of a cuboid is reduced by 3cm, it becomes a cube. The surface area is reduced by 96cm. What is the volume of the cuboid?
A 3 m long cuboid wood is cut into three identical sections, and its surface area is increased by 0.94 square decimeter. What is its volume?
If you are the one


1) 96 △ 4 = 24 square centimeter
Length = 24 △ 3 = 8 cm
H = 8 + 3 = 11cm
Volume = 8x8x11 = 704 CC
2) Added faces = (3-1) x2 = 4
0.94 △ 4 = 0.235 square decimeter
3 meters = 30 decimeters
Volume = 0.235x30 = 7.05 cubic decimeter



Three squares of the same size are put together to form a rectangle. The perimeter is reduced by a decimeter. What is the perimeter and area of the rectangle?


Three squares of the same size make a rectangle,
Perimeter reduced by 4 square sides
Then: square side length = A / 4 decimeter
The rectangle is a / 4 in width, 3A / 4 in length;
So: the circumference of this rectangle is 2 × (A / 4 + 3A / 4) = 2A decimeter
Area = 3A / 4 * A / 4 = 3A & # / 16m2



If the length and width of a rectangle are increased by 3cm, if the length and width of a rectangle are increased by 3cm, its area will increase by 105 square cm
What is the circumference of the original rectangle?


Let the length be a and the width be B,
Original area S1 = ab
Now the area is S2 = (a + 3) (B + 3) = AB + 3 (a + b) + 9
Only increase the area to 3 (a + b) + 9 = 105
So a + B = 32
The circumference of the original rectangle = 2 (a + b) = 64



A circle with a diameter of 4dm is transformed into an approximate rectangle whose perimeter is______ The area is______ .


Length of rectangle: 3.14 × 4 △ 2 = 6.28 (DM), width of rectangle: 4 △ 2 = 2 (DM), perimeter of rectangle: (6.28 + 2) × 2 = 16.56 (DM); area of rectangle: 6.28 × 2 = 12.56 (DM2). Answer: perimeter of rectangle is 16.56dm, area is 12.56dm2



If the diameter of the circle is 6cm, the circumference of the rectangle is () cm, and the area of the rectangle is ()


If the diameter of the circle is 6cm, the circumference of the rectangle is (24.84) cm and the area of the rectangle is (28.26 square cm)



Divide a circle with a diameter of 4cm into several equal parts, cut it apart to form an approximate rectangle, and calculate the circumference of the approximate rectangle


Rectangle length = half of circle circumference = 3.14 × 4 △ 2 = 6.28 rectangle width = radius of circle = 4 △ 2 = 4 rectangle circumference = (6.28 + 2) × 2 = 16.56 rectangle area = area of two quarter circles green area + yellow area = area of two quarter circles = 3.14 × 1 & # 178; × 2 × 1 / 4 = 1.57 rectangle length = face



A circle with a radius of 10 cm is divided into several even equal parts along the radius. After being cut, it can be put together into an approximate rectangle. The circumference of the rectangle is______ Cm, the area is______ Square centimeter


(1) 3.14 × 102 = 3.14 × 100 = 314 (square centimeter), (2) 3.14 × 10 × 2 + 10 × 2 = 3.14 × 20 + 20 = 62.8 + 20 = 82.8 (centimeter), answer: the circumference of this rectangle is 82.8 centimeter, the area is 314 square centimeter; so the answer is: 82.8; 314



Cut a circle with a radius of 3cm into 32 equal parts along the radius to form an approximate rectangle with a circumference of () cm
First, a × B = 4a-3b, if x × (5 × 6) = 22, then x = ()
To produce a batch of parts, the time ratio of Party A and Party B is 5:4, and the work efficiency of Party B is ()% higher than that of Party A
If the height of a cylinder is shortened by 5cm, its surface area will be reduced by 62.8cm2, its bottom radius will be () cm, and its volume will be reduced by () cubic cm
A car travels 50 kilometers per hour from place a to place B, and then returns according to the original road. If you want to get an average speed of 60 kilometers, you should travel () kilometers per hour when you return


First, a × B = 4a-3b, if x × (5 × 6) = 22, then x = ()
4x - 3 × (4 × 5 - 3 × 6) = 22
x = 7
To produce a batch of parts, the time ratio of Party A and Party B is 5:4, and the work efficiency of Party B is ()% higher than that of Party A
5/4 - 1 = 25%
If the height of a cylinder is shortened by 5cm, its surface area will be reduced by 62.8cm2, its bottom radius will be () cm, and its volume will be reduced by () cubic cm
Bottom radius 62.8 △ 5 △ 2 △ 3.14 = 2 (CM)
Reduced volume 3.14 × 2 × 2 × 5 = 62.8 (cm3)
A car travels 50 kilometers per hour from place a to place B, and then returns according to the original road. If you want to get an average speed of 60 kilometers, you should travel () kilometers per hour when you return
1 ÷ (2 / 60 - 1 / 50) = 75 (km / h)