Polygon practice problems - page 7 of 12

Number of problems found: 229

Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm.
Polygon - area coordinates
Find the perimeter and the area of the polygon with the given vertices. T (2,7), U (2,9), V (5,9), W (5,7)
Prism lateral area
Calculate the lateral surface area of a pentagonal prism if the total surface area of the prism is 258 cm² and one base of the prism has an area of 64.6 cm². Express the result in cm² as a decimal number.
Top of the tower
The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m. The pyramid height is 1.6 m. How many square meters of sheet metal are needed to cover the top of the tower if 15% extra sheet metal is needed for join
Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism.
Hexagon area calculation
Calculate the area of a regular hexagon inscribed in a circle with a radius r = 7 cm.
Hexagon
Draw a regular hexagon inscribed in a circle with a radius r=15 cm. What is its perimeter?
Hexagonal pyramid tank
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm.
Octagonal pyramid
Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the base plane is α = 60°.
Pyramid measurements
A regular hexagonal pyramid has a base edge of 20 cm and a lateral edge of 40 cm. Calculate the height and surface area of the pyramid.
Hexagonal pyramid
A regular hexagonal pyramid has dimensions: the length edge of the base a = 1.8 dm, and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.
Z5 – I – 2 MO 2018
Tereza received four identical right-angled triangles with sides of lengths 3 cm, 4 cm, and 5 cm. From these triangles (not necessarily all four) she tried to put together new shapes. She gradually managed to put together quadrilaterals with perimeters of
Hexagonal pyramid
Please calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20 cm. Please sketch a picture.
Pyramid measurements
Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long.
Hexagonal prism calculation
Calculate the volume and surface of a regular hexagonal prism with a base edge a = 30 m and a side edge b = 50 m.
Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron.
Prism volume calculation
Calculate the volume of a 1.4 m high hexagonal prism container with a base area of 8300 cm².
Prism surface calculation
Calculate the surface of a regular 5-sided prism with a base area of 60 dm² if the length of the edge of the lower base is four dm. The height of the prism is 1.3 m.
Hexagon
Calculate the surface area of the regular hexagonal prism, whose base edge a = 12 cm and side edge b = 3 dm.
Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2 cm and the height of the prism h = 1 dm.

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