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It is necessary to prepare () kinds of rectangles of different sizes, the largest of which is 10 cm in length, 8 cm in width and 6 cm in height The largest rectangle area is () square centimeter, and the smallest rectangle area is () square centimeter
The cuboid has six faces. So it needs six. The maximum area is 10 * 8 = 80 square centimeters. The minimum area is 8 * 6 = 48 square centimeters
It is known that the edge lengths of cuboid lidless cartons are 4cm, 6cm and 8cm respectively. What are the external surface area and volume of the cartons?
For example: if the length of the carton is 4cm, the width is 6cm, and the height is 8cm, then the outer surface area of the carton is (4 * 8 + 6 * 8) * 2 + 4 * 6 (square centimeter)
A square cardboard with a side length of 40 cm is cut properly and folded into a cuboid box (the thickness of the cardboard is ignored)
A square cardboard with a side length of 40cm is cut properly and folded into a cuboid box (the thickness of the cardboard is ignored)
1) If a square of the same size is cut off at the four corners of the square cardboard, and the remaining part is folded into a cuboid box without a cover. To make the bottom area of the cuboid box 484 square centimeters, what is the length of the cut square?
2) If you cut off some rectangles around the square rigid board (that is, at least one edge of the cut rectangle is on the edge of the square cardboard), fold the rest into a cuboid box with a cover. If the surface area of a cuboid box is 550 square centimeters, calculate the length, width and height of the cuboid box (only one case meeting the requirements is required)
How to do the above two questions?
Use a 48CM iron wire to make a square frame, paste paper to make a carton, at least how many square centimeters of cardboard?
The edge length of cube is 48 △ 12 = 4cm
The surface area of cube is 4 × 4 × 6 = 96 square centimeter
A: at least 96 square centimeters of cardboard
A kind of rectangular cardboard box, 10 cm long, 6 cm wide and 5 cm high. How many square decimeters of cardboard do you need to make 1000 such cartons
(10X6 + 6X5 + 10x5) x2 = 280 square centimeter = 2.8 square decimeter
1000x2.8 = 2800 square decimeters
Cylindrical beverage can, bottom diameter is 7 cm, height is 12 cm. Put 24 cans of beverage into the carton. How many square meters of cardboard does this carton need at least?
【1】 How many centimeters are the length, width and height of this carton
According to 4 * 6, length: 6 * 7 = 42, width: 4 * 7 = 28, height: 12
【2】 What is the minimum volume of this carton?
V = 42 * 28 * 12 = 14112 CC
【3】 How many square centimeters of cardboard should be used to make such a carton?
2 * 42 * 28 + 2 * 42 * 12 + 2 * 28 * 12 + 2000 = 2352 + 1008 + 672 + 2000 = 6032 square centimeters
A carton is 80cm long, 60cm wide and 50cm high. What's its volume? If you want to make 100 cartons
Volume = length × width × height
So its volume v = 80 × 60 × 50 = 240000 (cubic centimeter)
Now you want to ask the area of cardboard needed to make 100 such cartons?
First calculate the surface area of a carton s = (80 × 60 + 80 × 50 + 60 × 50) × 2 = 11800 (square centimeter)
One hundred times one hundred is 1180000 (square centimeter) and 118 square meters
There is a square lawn and a round lawn. And their area is 100 square meters. Which lawn has a long circumference? (π = 3.14)
The side length of the square is √ 100 = 10m, and the perimeter is 10 * 4 = 40m
The radius of the circle is √ (100 / 3.14) = 10 / 3.14 √ 3.14
Its circumference is 10 / 3.14 * √ 3.14 * 2 * 3.14 = 20 √ 3.14
√3.14
In the garden of Qingyun middle school, there is a square lawn and a round lawn, and their area is 100 square meters. Which lawn is bigger?
The side length of the square is 10m
The radius of the circle is the root (200 / π)
The diameter is 2 * root (200 / π)
Square perimeter = 40m
Circumference = 2 * radical (200 π)
=20 * radical (2 π)
So the circumference grows
The perimeter of a round lawn is 100.84 meters, so how many square meters does this lawn cover?
100.84÷3.14÷2
=100.84÷2÷3.14
=50.24÷3.14
=16 (M2)
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