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The side length of the bottom of the hexagonal prism is equal to 1, and the side length is 2. After the side of the prism is expanded along a side edge, the area of the side expansion is calculated
According to the meaning of the title, the side expansion is rectangular, the side length of ∵ bottom is equal to 1, the length of ∵ side is 6 × 1 = 6, the length of ∵ side is 2, the width is 2, and the area of this side expansion is 6 × 2 = 12
The length of all edges of a regular hexagonal prism is equal to 3cm. Find its total area
First, find the two base areas,
The regular hexagon is divided into six congruent regular triangles with side length of 3cm,
Area of each equilateral triangle = √ 3 (3) ^ 2 / 4 = 9 √ 3 / 4 (CM) ^ 2,
1 regular hexagon area = 6 * 9 √ 3 / 4 = 27 √ 3 / 2 (CM) ^ 2,
One side square area = 3 * 3 = 9cm ^ 2,
Then the side area is 9 * 6 = 54cm ^ 2,
Total area = 2 * 27 √ 3 / 2 + 54 = 54 + 27 √ 3 (cm ^ 2)
Verification: the volume of straight prism with trapezoidal bottom is equal to half of the product of the sum of the area of two parallel sides and the distance between the two sides
This topic is the same as proving the trapezoidal area formula. We can put together two identical straight prisms to form a cuboid. Then the cuboid volume is the bottom area multiplied by the height, that is, the area of the two sides multiplied by the distance between them, which is equal to the cuboid volume, which is twice the volume of the original straight prism, I hope I can help you solve this problem
If the bottom of a triangular prism is a square with 4 sides, the length of the prism is 8. If a side edge forms a 45 degree angle with both sides of the bottom, the side area of the triangular prism is 8
A. Radical (2)
B. 4 (radical (2) + 1)
C. 16 (radical (2) + 1)
D. 32 (radical (2) + 1)
Talk about ideas
The graph book is two parallelograms and a rectangle
S = 1 / 2 * a * b * sin angle
All one can count!
If the side length of the square is a and the side length is B, then a is divided into B=
Upper and lower area = 2 * a square
Side area = 4 * ab
2*a*a=4*a*b
So, B / a = 1 / 2
Given the top view of a prism, draw its front view and left view
As shown in the figure
(same) as shown in the figure, known as: the main view of a regular hexagonal prism, please calculate its surface area according to the dimensions marked in the figure. (represented by a, b)
If the side length of an equilateral triangle is x, then x / 2 + X + X / 2 = a, then x = A / 2;
So the triangle height = A / 2 * (radical 3 / 2) = (a * radical 3) / 4, so the triangle area = a * (a * radical 3) / 4 / 2 = (a ^ 2 * radical 3) / 8,
So the top area of hexahedron is 6 * (a ^ 2 * radical 3) / 8 = (3a ^ 2 * radical 3) / 4,
So top area + bottom area = 2 * top area = (3a ^ 2 * radical 3) / 2;
When the side length of the top surface is a / 2, the perimeter is a / 2 * 6 = 3A, so the side area of the hexagonal prism is 3A * b = 3AB
As shown in the figure is the main view of a regular hexagonal prism, please calculate its surface area according to the dimensions marked in the figure. (represented by a, b)
The main view shows that the bottom of the hexagonal prism is a regular hexagon, the radius is A2, the length of the bottom edge = radius = A2, the center distance of the edge is 34a, the area of the bottom is 2 × 12 × 6 × A2 × 34a = 34a2, the area of the side is 6 × A2 × B = 3AB, and the surface area is 34a2 + 3AB
If the main view length of a straight triangular prism is 10 cm and the side length of the triangle in the top view is 4 cm, what is the side area
120cm2
If the front view and top view of a triangular prism with equal edge lengths are square and regular triangle respectively, then the left view is ()
A. Rectangle B. square C. diamond D. regular triangle
The height of the left view of the triangular prism must be the edge length, and the width is equal to the height of the regular triangle in the top view. This height must be less than the edge length, so the left view is rectangular. So select a
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- 1. If the front view and top view of a triangular prism with equal edge lengths are square and regular triangle respectively, then the left view is () A. Rectangle B. square C. diamond D. regular triangle
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- 19. E. F is the edge BC of square ABCD with side length 4, the point on CD, CE = 1, CF = 4 / 3, the extension line of line Fe intersecting AB is at g, passing through a moving point h on line FG, making HM perpendicular to Ag and m, let HM be x, and the area of rectangle amhn be y 1. Find the function expression 2 when x =? Amhn, what is the largest area When x = 3, the maximum value of Y is 12 How to - -,
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