Sinteză corpuri geometrice
Presentation
•
Mathematics
•
1st - 5th Grade
•
Practice Problem
•
Hard
Tatiana Druc
FREE Resource
0 Slides • 36 Questions
1
Open Ended
Aflați volumul și aria totală a unui cub cu lungimile muchiilor egale cu 48 cm.
2
Open Ended
Determinați aria totală a unui cub cu latura de 3 cm.
3
Multiple Choice
Care dintre cuburile date pot avea desfășurarea reprezentată? Selectați varianta corectă de răspuns:
A și B
B și D
A și D
B și D
4
Multiple Choice
Câte diagonale are fiecare poliedru din imaginile problemei 1?
2
3
4
5
5
Multiple Choice
Use the unit given. Find the volume.
125 cu cm
125 cu ft
15 cu cm
25 cu cm
6
Fill in the Blanks
Type answer...
7
Open Ended
In which class of prisms do regular quadrilateral prisms belong? Justify your answer.
8
Multiple Choice
What is the formula for the diagonal of a rectangular parallelepiped as shown in figure 8?
d = a + b + c
d = a^2 + b^2 + c^2
d = a^2 + b^2 - c^2
d = a^2 - b^2 + c^2
9
Multiple Choice
What type of prism is represented in figure 6b?
Triangular prism
Rectangular prism
Pentagonal prism
Hexagonal prism
10
Open Ended
Calculate the volume of the rectangular parallelepiped with dimensions a = 4 cm, b = 3 cm, and c = 5 cm.
11
Multiple Choice
What is the formula for the lateral area of a prism with dimensions a, b, and c?
A = 2(ab + ac + bc)
A = ab + ac + bc
A = 2(a + b + c)
A = abc
12
Open Ended
What is the capacity of the pool that is equal to the volume of a rectangular prism with dimensions 5 m, 10 m, and 2 m?
13
Open Ended
Calculate the volume of a rectangular prism with a base area of 24 cm² and a height of 14 cm.
14
Multiple Choice
What is the formula for the volume of a rectangular prism?
V = a * b * c
V = 2 * (a + b)
V = a + b + c
V = a * b - c
15
Open Ended
Determine the lateral area, total area, and length of the diagonal of a rectangular parallelepiped with a base length of 8 cm, a width of 40 cm, and a volume of 240 cm³.
16
Open Ended
Calculate the total area and volume of a rectangular parallelepiped with a base length of 6 cm, a width of 7 cm, and a height of 5 cm.
17
Multiple Choice
What are the properties of a rectangular prism, and how do they compare to other geometric shapes listed in the table?
They have parallel bases
They have perpendicular lateral faces
They have equal base areas
They have a volume formula
18
Open Ended
Calculați volumul acestei prisme.
19
Open Ended
Aflați volumul paralelipipedului.
20
Multiple Choice
Care dintre următoarele imagini nu poate fi desfășurarea unui paralelipiped dreptunghic?
a)
b)
c)
d)
21
Open Ended
What is the relationship between the lateral edges of a regular pyramid?
22
Fill in the Blanks
Type answer...
23
Multiple Choice
What is the height of the pyramid in the example provided?
10 m
13 m
5 m
15 m
24
Multiple Choice
What are the lateral edges of a pyramid called?
Muchii laterale
Vârfuri
Bază
Înălțime
25
Multiple Choice
What is the definition of a pyramid according to the text?
A solid with a polygonal base and triangular faces
A solid with a circular base
A solid with a square base only
A solid with no faces
26
Open Ended
Care este volumul piramidei examinate în problema 31?
27
Multiple Choice
What are the characteristics of the frustum of a pyramid?
It has two parallel bases
It has one apex
It is always a triangular shape
It can have any number of sides
28
Open Ended
What is the height of the pyramid SABCD in meters?
29
Multiple Choice
What is the formula for calculating the volume of a regular pyramid with a square base?
V = (1/3) * base area * height
V = base area * height
V = (1/2) * base area * height
V = base area / height
30
Open Ended
Cum reprezentăm corect un trunchi de piramidă?
31
Open Ended
Aflați lungimea segmentului AD, unde D este mijlocul muchiei BC'.
32
Open Ended
Aflați volumul unui cub este 216 cm³. Aflați aria totală a cubului.
33
Open Ended
Aflați volumul unui tetraedru regulat cu muchia de 8 cm.
34
Multiple Choice
Aflați volumul tetraedrului.
8 cm
10 cm
12 cm
14 cm
35
Multiple Choice
Un trunchi de piramidă pătrulateră regulată provine dintr-o piramidă cu înălțimea de 12 cm și latura bazei de 8 cm. Determinați lungimea muchiei laterale a trunchiului, știind că ea are înălțimea de 4 cm.
Lungimea muchiei laterale
Aria laterală a trunchiului
Volumul trunchiului
Toate cele de mai sus
36
Multiple Choice
Un prismi hexagonală regulată are muchia bazei de 6 cm și înălțimea de 8 cm. Determinați lungimea diagonalelor prismiei, aria totală și volumul ei.
Lungimea diagonalelor prismiei
Aria totală a prismiei
Volumul prismiei
Toate cele de mai sus
Aflați volumul și aria totală a unui cub cu lungimile muchiilor egale cu 48 cm.
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