Polygon + volume - practice problems
Number of problems found: 48
- The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height. - Right-angled 66344
From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of the octagon is 14 cm². - Quarter-liter 3380
A container has the shape of a regular hexagonal prism with a base with a capacity of 0.5dm2, which three quarter-liter cups of water fill to the brim. What is the height of a container? - Pentagonal pyramid
Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm.
- Tetrahedron 83144
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise? - Pentagonal pyramid
The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid. - Triangular 24091
A regular triangular prism with a base edge of 35 cm has a volume of 22.28 l. Calculate the height of the prism. - Hexagonal 29141
Calculate the volume and surface of a regular hexagonal prism with a base edge a = 30 m and a side edge b = 50 m. - 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 = 5.2cm and the height of the prism h = 1 dm.
- Hexagonal pyramid
Find the volume of a regular hexagonal pyramid, the base edge 12 cm long and the side edge 20 cm. - Regular hexagonal prism
Calculate the volume of a regular hexagonal prism whose body diagonals are 24cm and 25cm long. - Hexaprism container
Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m, a base edge of 3dm, and a corresponding height of 2.6 dm. - Hexagonal pyramid
Calculate a regular hexagonal pyramid's volume and surface area with a base edge a = 30 m and a side edge b = 50 m. - A prism
A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square of 10cmx10cm. Find the volume of the prism.
- Perpendicular 79804
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3cm and 4cm. The he - Hexagonal 66574
The candle is made from wax in the shape of a regular hexagonal pyramid. It has a height of 6.5 cm and a length of the base edge of 3 cm. Find the volume of wax. - Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume. - Calculate 66254
Calculate the volume and surface of a regular hexagonal prism with a height v = 2cm and a base edge a = 8cm. - 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.
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