The area of a shape of triangle problems - page 38 of 41
Number of problems found: 811
- Axial section
The axial section of the cone is an equilateral triangle with an area 208 km². Calculate the volume of the cone.
- Equilateral 81222
A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere?
- Quadrilateral 43941
Calculate the surface of a 3.5 m high quadrilateral pyramid with a rectangular base with dimensions of 3 m and 1.8 m.
- Hexagonal 8200
The tops of the base of a regular hexagonal pyramid lie on a circle with a radius of 10 cm. The height of the pyramid is 12cm. What is its volume?
- Hexagonal 6424
Calculate the volume and surface of a regular hexagonal prism, the base edge of which is 5 cm long and its height is 20 cm.
- The raft
The raft for washing beets has the shape of a prism with the base of an isosceles triangle, the base of which is 6.8 m (width of the raft) and a height of 4.8 m (depth of the raft, height of the triangle). The raft is 35 m long (prism height). Calculate t
- Sails
We know the heights of sail, 220, 165, and 132. It has a triangular shape. What is the surface of the sail?
- Deviation - slope angle
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30° from the base plane.
- Triangular prism
Calculate the surface of a regular triangular prism; the base's edges are 6 cm long, and the height of the prism is 15 cm.
- The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area.
- Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high does he fly?
- Quadrilateral pyramid
A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid
- Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle.
- Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid.
- Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is:
- 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 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.
- Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
- Triangular prism
Calculate the volume and surface of the triangular prism ABCDEF with the base of an isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm.
- Hexa prism
Determine the volume of the hex prism with a 4 cm edge base and a 28 cm body height.
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