Polygon practice problems - page 10 of 12
Number of problems found: 229
- Hexagon dragon area
The dragon has the shape of a regular hexagon inscribed in a circle with a radius of 20 cm. What is the area of the dragon? - Hexagonal prism angle
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Paint for Hexagonal Pool
How much paint do we need to paint a pool in the shape of a 6-sided prism? The base edge measures 21 dm, the corresponding height is 1.8 m, and the pool height is 150 cm. We need 0.21 kg of paint per 1 m². - Hexagonal prism volume
Calculate the volume and surface of a regular hexagonal prism with a height v = 2 cm and a base edge a = 8 cm. - Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated? - Heptagonal pyramid
A hardwood for a column is in the form of a frustum of a regular heptagonal pyramid. The lower base edge is 18 cm, and the upper base is 14 cm. The altitude is 30 cm. Determine the weight in kg if the wood density is 10 grams/cm³. - Hexagonal packaging
The cardboard packaging without a lid has the shape of a regular hexagonal prism with a main edge that is 12 cm long and 15 cm high. How much cardboard is used to make five packages if 10% of the cardboard is added for folds? Give results in square decime - Office
The office building was built in the shape of a regular hexagon inscribed in a circle with a radius of 12 m. The height of the walls is 7 m. How much does CZK cost to plaster the building walls per 1 m square cost CZK 400? - Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12 cm and a height equal to the diameter of the circle circumscribed about the base? - 9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm. - Quadrilateral ABCD
Construct a quadrilateral ABCD with diagonals AC = e = 7 cm, BD = f = 6.2 cm, d = 4.3 cm, a = 5.3 cm and β = 125° - Tetrahedron segment midpoint
The sum of the lengths of all the edges of the regular tetrahedron ABCD is 48 cm. How many cm is the segment XY if you know that X is AB's midpoint and Y is CD's midpoint? - Diagonals in diamond
In the rhombus, a = 160 cm and alpha = 60 degrees are given. Calculate the length of the diagonals. - Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°. - Quadrilateral ABCD
Construct a quadrilateral ABCD if AB = 10 cm, AD = 6 cm, DC = 6.5 cm and angle BCD = 90 degrees. - Square quadrilateral area
The picture shows a square ABCD with the center S and the side 8 cm long. Point E is any point on the CD side other than C and D. Calculate the area of the ASBE quadrilateral in cm². - The perimeter 2
The perimeter of the quadrilateral a = 1 m b = 14/5 m c = 2 3/10 m d = 1 4/5 m? - Flower perimeter
Peter drew a regular hexagon, the vertices of which lay on a circle 16 cm long. Then, for each vertex of this hexagon, he drew a circle centered on that vertex that ran through its two adjacent vertices. The unit was created as in the picture. Find the ci - Four sides of trapezoid
The trapezoid is given by the length of four sides: 40.5, 42.5, 52.8 35.0. Calculate its area. - Hexagonal pyramid
Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm.
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