A 3 * 3 * 3 large square is composed of 27 small cubes. How many small squares can you cut with a knife?

As shown in the picture, cut 27-8 = 19 cubes with a red knife

Know the volume of a cube, how to find its edge length, Volume 27 cubic centimeters

The cube of cube edge length is volume edge length of 3cm

A mathematical problem: the volume of a small square is 27 cubic centimeters, and the volume of another cube is 8 times that of it
The volume of a small square is 27 cubic centimeters, and the volume of another cube is eight times that of it. How many times is the edge length of this cube?
How to answer in the form of equation?

∵ the volume of the other cube = 27 × 8 = 216 = edge length × edge length × edge length
The edge length of the other cube = 6
And ∵ the volume of small cube = 27
The edge length of small cube = 3
6÷3=2
So the edge length of this cube is twice that of the small cube
Equation: let the edge length of the cube be X
X×X×X=27×8
X=6
6÷3=2

Make a straight line through a vertex of a polygon, cut off two corners of the polygon, and the sum of its inner angles becomes 1260 degrees, then the original number of sides of the polygon is 1260 degrees______ ．

Because 1260 = 7 × 180, it is now a 7 + 2 = 9 polygon. A vertex of a polygon makes a straight line and cuts off two corners of the polygon. There are two cases: first, if the line passes through another vertex, three sides are reduced and one side is added. In total, two sides are reduced, which turned out to be 9 + 2 = 11

If a vertex with excessive deformation makes a straight line and cuts off two corners of the polygon, what is the inner angle 1260? Then the polytropic behavior I deformation

Let the number of sides of a polygon be n, make a straight line through a vertex of the polygon, cut off two corners of the polygon, and the new number of sides is n-1. Then (n-1-2) * 180 = 1260, n-3 = 7, n = 10, the original number of sides of the polygon is 10

Make a straight line through a vertex of a polygon. After cutting off two frontal angles of the polygon, what is its internal angle 1260 degrees? What is the original number of sides of the polygon

Except for one inner angle, the sum of the other angles of a convex polygon is 2750 degrees

Solution 1: let the polygon be an n-sided shape first, and subtract 2750 ° from the sum of the inner angles of the polygon to get the removed inner angle. The degree of an inner angle of the polygon is greater than 0 ° and less than 180 ° so the inequality can be listed as follows: 0

Except for one inner angle, the sum of the other inner angles of a convex polygon is 2007 degrees. Find the inner angle and the number of sides of the polygon

The sum of the interior angles of any polygon is an integral multiple of 180 degrees
2007°÷180°=11…… 27°
Therefore, the sum of all internal angles of this polygon should be 12 × 180 ° = 2160 °
2160°－2007°=153°
Let the number of sides of this polygon be n, then
(n-2)×180°=12×180°
The solution is n = 14
A: the inner angle is 153 ° and the number of sides is 14

The sum of the outer angle of an inner angle of a convex polygon and other inner angles is 500 degrees. Find the number of sides of the polygon
Like the title,

If the outer angle is x degree, then the adjacent inner angle is (180 ° - x), and the number of sides is n, then there is
(n-2)×180°-(180°-x)+x=500°
180°×n=1040°-2x
90°×n=520°-x
n=6-(20°+x)/90°
Because n is a positive integer, so (20 ° + x) must be a multiple of 90 ° to be divisible, and 0

The area of a square is 60 square centimeters. Find the area of a semicircle
The semicircle is in the square

Is the side length of a square the radius of a circle
3.14 * 60 / 2 = 188.4 / 2 = 94.2 (cm2)

A 3 * 3 * 3 large square is composed of 27 small cubes. How many small squares can you cut with a knife?