Solid geometry, stereometry - page 65 of 121
Number of problems found: 2402
- Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72?
- Triangular prism,
The regular triangular prism, whose edges are identical, has a surface of 2514 cm² (square). Find the volume of this body in cm³ (l).
- The pyramid 4s
The pyramid with a rectangular base measuring 6 dm and 8 dm has a side edge of a length of 13 dm. Calculate the surface area and volume of this pyramid.
- 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.
- Body diagonal
Calculate the volume of a cuboid whose body diagonal u equals 6.1 cm. The rectangular base has dimensions of 3.2 cm and 2.4 cm.
- Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm.
- Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone?
- What is
What is the height of a cylinder whose surface size is 602.88 cm² and the area of its shell is 376.8 cm²?
- Prism height
What is the height of a prism with a right triangle base and sides of 6 cm and 9 cm? The hypotenuse is 10.8 cm long. The volume of the prism is 58 cm³. Calculate its surface area.
- Calculate 30971
Calculate the cone's surface and volume if its base diameter is 1 dm and the side length is 13 cm.
- Rotating 28001
There is a rotating cone: r = 6.8 cm s = 14.4 cm. Find the area of the cone surface S2, the height h, and the volume V.
- Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder.
- Calculate 6214
The cube A B C D A'B'C'D 'has a section area ACC'A' equal to 64 square root of 2 cm². Calculate the surface of the cube.
- Calculate 24511
Calculate the height of the cylinder if d = 1.6 dm and V = 489 cm³.
- Circumference 15653
Calculate the surface and volume of a rotating cone whose base circumference is 125.6 cm and the side is 25 cm long.
- Centimeter 8323
The area of the cylinder shell is 307.72 cm2, and the diameter of the figure is 14 cm. Calculate its height to the nearest centimeter.
- Centimeters 6604
A four-sided prism has a volume of 648 cubic centimeters. The trapezoid that is its base has the dimensions a is equal to 10 centimeters, c is equal to eight centimeters, and height v is equal to 6 centimeters. Calculate the height of the prism.
- Calculate 8891
Calculate the weight of a PVC pipe with an inner diameter d = 45 mm and a length l = 3 m if the wall thickness of the pipe is s = 7.5 mm. The density of PVC is ρ = 1350 kg/m³.
- Surface area 8
What is the surface area of a cylinder if the diameter is 15m height is 7m?
- The Scout Tent
The Scout Tent has a rectangular wooden underlay with 220 cm and 150 cm dimensions. How much canvas is needed for a 170 cm high pyramid roof?
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