Solid geometry, stereometry - page 31 of 121
Number of problems found: 2418
- The prison ball
Calculate the density of the material from which the prison ball is made if you know its diameter is 15cm and its weight is approximately 2.3kg. With the help of mathematical-physicochemical tables, estimate what material the ball is made from. - Block volume
The sketch shows a network of blocks with a surface size of 150 cm². Calculate its volume. (MONITOR 9 - 2005/30 question.) - Cuboid - box
The box has the shape of a cuboid with dimensions of 5 cm and 30 mm. Calculate the box's height if the cuboid's volume is 0.60 dm³. Calculate the surface area of the box. (calculation of height from the volume, calculation of area from the formula, keep t - From plasticine
Michael modeled from plasticine a 15 cm high pyramid with a rectangular base, with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Jane modeled a rotating cone with a base diameter of 10 cm. How tall was Jane's cone? - Cone from cube
From a wooden block 20 cm high was the turned largest possible cone. Calculate its weight if you know that the density of wood was 850 kg/m³ - Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the base's diagonal is 50 cm. Calculate the pyramid shell area. - Sphere from tree points
Equation of sphere with three-point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a - Cuboid - volume and areas
The cuboid has a volume of 250 cm3, a surface of 250 cm2, and one side 5 cm long. How do I calculate the remaining sides? - Prism
The volume of a tetrahedral prism is 2.43 m³. The prism's base is a parallelogram with a side of 2,5dm and height ha = 18cm. Calculate the height of the prism. - Prism surface calculation
Calculate the surface area of a triangular prism with a height of 7 dm. Measures the edges of the triangular base 45 cm, 5 dm, 550 mm. - Pool water height
82 hl of water per hour flows into the empty cylinder-shaped pool with a bottom diameter of 7.5 m. How high will the pool be filled if the water has flowed in for 4 hours? - Pyramid volume calculation
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's volume if the base edge's length is 20 dm. - Hectoliters
How deep is the pool if there are 2025 hectoliters of water, the bottom dimensions are a = 15 meters b = 7.5 meters, and the water level is up to 9/10 (nine-tenths) of the height? - Container
The container-shaped box with internal dimensions of 3.9 m, 3.25 m, and 2.6 m was completely filled with goods in the same cubic boxes. How long edge could this box have? - The aquarium
The aquarium is 120 cm long, 70 cm wide, and 96 cm high. How high does the water reach if we fill it with 168 liters? - Trench
The trench is a four-sided prism. The cross-section has a trapezoidal shape with basements of 4m and 6m, and the length of the trench is 30m. What is the depth of the trench if we dig 60,000 l of soil? - Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid. - Cube diagonals
If you know the length of the body diagonal u = 216 cm, determine the cube's volume and surface area. - Three faces of a cuboid The diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area is.
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