Sinteză corpuri geometrice

Open Ended

Aflați volumul și aria totală a unui cub cu lungimile muchiilor egale cu 48 cm.

Open Ended

Determinați aria totală a unui cub cu latura de 3 cm.

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

Multiple Choice

Câte diagonale are fiecare poliedru din imaginile problemei 1?

• 2

• 3

• 4

• 5

Multiple Choice

Use the unit given. Find the volume.

• 125 cu cm

• 125 cu ft

• 15 cu cm

• 25 cu cm

Open Ended

In which class of prisms do regular quadrilateral prisms belong? Justify your answer.

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

Multiple Choice

What type of prism is represented in figure 6b?

• Triangular prism

• Rectangular prism

• Pentagonal prism

• Hexagonal prism

Open Ended

Calculate the volume of the rectangular parallelepiped with dimensions a = 4 cm, b = 3 cm, and c = 5 cm.

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

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?

Open Ended

Calculate the volume of a rectangular prism with a base area of 24 cm² and a height of 14 cm.

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

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.

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.

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

Open Ended

Calculați volumul acestei prisme.

Open Ended

Aflați volumul paralelipipedului.

Multiple Choice

Care dintre următoarele imagini nu poate fi desfășurarea unui paralelipiped dreptunghic?

• a)

• b)

• c)

• d)

Open Ended

What is the relationship between the lateral edges of a regular pyramid?

Multiple Choice

What is the height of the pyramid in the example provided?

• 10 m

• 13 m

• 5 m

• 15 m

Multiple Choice

What are the lateral edges of a pyramid called?

• Muchii laterale

• Vârfuri

• Bază

• Înălțime

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

Open Ended

Care este volumul piramidei examinate în problema 31?

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

Open Ended

What is the height of the pyramid SABCD in meters?

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

Open Ended

Cum reprezentăm corect un trunchi de piramidă?

Open Ended

Aflați lungimea segmentului AD, unde D este mijlocul muchiei BC'.

Open Ended

Aflați volumul unui cub este 216 cm³. Aflați aria totală a cubului.

Open Ended

Aflați volumul unui tetraedru regulat cu muchia de 8 cm.

Multiple Choice

Aflați volumul tetraedrului.

• 8 cm

• 10 cm

• 12 cm

• 14 cm

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

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