Solid geometry, stereometry - page 51 of 121
Number of problems found: 2410
- Cube measurements
Calculate the diagonal of the cube, with the circumference of one of its walls being 48 cm. Then, determine its surface and volume. - Calculate
The circumference of the ball is o = 87 cm. Calculate its volume. Express the result in liters and round to the nearest whole number. - Tetrahedron segment midpoint
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? - 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. - The Indian tent
The Indian tent is cone-shaped. Its height is 3.5 m. The diameter of the base is 2.5 m. How much canvas is needed to make a tire? - Metal tube
Calculate the metal tube mass 8 dm long with an outer radius of 5cm and an inner radius of 4.5cm. One cm³ of this metal is 9.5g. - Rainfall
On Thursday, 1 cm of rainfall fell. How many liters of water fell into a rectangular garden with 22 m x 35 m dimensions? - Quadrangular prism
The regular quadrangular prism has a base edge of 7.1 cm and a side edge of 18.2 cm long. Calculate its volume and surface area. - 3s prism
A regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm is given. Calculate the prism's volume. - Water pool
What is the water level in the pool-shaped cuboid with bottom dimensions of 25 m and 10 meters? When is 3750hl water in the pool? - Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained? - Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere. - Kitchen
The kitchen roller has a diameter of 78 mm and a width of 315 mm. How many square millimeters roll on one turn? - Aquarium
An aquarium is a rectangular box with a square base containing 62 liters of water. The length of the base edge is 34 cm. To what height does the water level rise? - Prism volume calculation
Calculate the volume of a 1.4 m high hexagonal prism container with a base area of 8300 cm². - Tent air volume
The tent has the shape of a mantle of a regular quadrilateral pyramid with a base edge of 3.5 meters and a height of 2.4 meters. How many cubic meters of air does it contain? - Pyramid Surface Area Ratio
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's surface if the length of the base edge is 20 dm. - Pipe surface
Calculate the surface area of a pipe section if: outer diameter = 40 cm; length = 3m - Triangular prism
Determine the volume and surface of a 9 cm high triangular prism if its base is an equilateral triangle with an 8 cm side. - Four-sided prism
Find the surface area and volume of a four-sided prism high 10cm if its base is a rectangle measuring 6cm and 1.4dm.
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