Solid geometry, stereometry - page 51 of 115
Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.
Number of problems found: 2289
- Pyramid of Giza
The Great Pyramid of Giza has the shape of a regular quadrangular pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - Fire tank
1428 hl of water is filled in a block-shaped fire tank with the edges of the base 12 m and 7 m. Calculate the area of water-wetted areas. - Hexagon
Calculate the regular hexagonal prism's surface whose base edge a = 12cm and side edge b = 3 dm. - Base of house
Calculate the volume of the bases of a square house. If the base depth is 1.2 m, the width is 40 cm, and their outer circumference is 40.7 m.
- Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm. ..Va = 4 dm. (base edge length and base triangle height length) ... ... .v = 23 dm (body height) - Glass aquarium
How many m² of glass are needed to produce an aquarium with bottom dimensions of 70 cm x 40 cm and 50 cm high? - Triangular prism
The perpendicular triangular prism is a right triangle with a 5 cm leg. The prism's largest wall area is 130 cm2, and the body height is 10 cm. Calculate the body volume. - Pyramid four sides
A regular tetrahedral pyramid has a body height of 38 cm and a wall height of 42 cm. Calculate the surface area of the pyramid; the result is round to square centimeters. - Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
- 3s prism
It is given a regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm. Calculate the volume of the prism. - Pyramid a+h
Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm. - Sawdust
How many cubic centimeters of wood sawdust is created by cutting the tree trunk with a diameter of 66 cm and when the gap width is 5 mm? - Tetrahedron 82497
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? - Cylindrical 71714
How many hectoliters of water are in a cylindrical water tank with a base diameter of 3 meters and a depth of 60 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 - Diameter 30921
The road roller has a diameter of 1.2 m and a width of 1.8 m. How many square meters will the road level if it turns 20 times? - Calculation 29971
Cylinder height and radius calculation The rectangle ABCD | AB | is given = 8 cm, | BC | = 4 cm. Determine the height and radius of the cylinder, which is created by rotating the rectangle around the line AB. - Quadrilateral 25201
Calculate the volume and surface of a regular quadrilateral prism with a base edge a = 46 mm and a height v = 0.67 dm. - Diameter 6032
The road roller is 2 m long and 1 m in diameter. How many square meters of road roll when it turns 15 times?
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