Solid geometry, stereometry - page 5 of 123
Number of problems found: 2441
- Concrete hatch
The concrete hatch for a round well has a diameter of 1300 mm and a thickness of 80 mm. Determine its weight in kg if the density of the concrete is 2545 kg/m3 - Surface and volume
Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm. - Pressure vessel
A block-shaped pressure vessel with dimensions of 1.5 m, 2 m, and 3 m is filled with compressed gas. After being released from the container, the volume of the gas increases four times. What volume does the gas occupy after it is released from the contain - Calculate
Calculate a sphere's volume and surface area with a diameter of 15 m. - The water tank
A spherical water tank has a radius of 2 m. How many litres of water can it hold? How many kilograms of paint are needed to paint the tank if 1 kg of paint covers 10 m²? - Runcated pyramid teapot
The 35 cm high teapot has the shape of a truncated pyramid with the length of the edge of the lower square base a=50 cm and the edges of the rectangular base b: 20 cm and c: 30 cm. How many liters of water will fit in the teapot? - Lead ball
What is the weight of a lead ball with a diameter of 3 cm if the density of lead is 11340 kg/m cubic? - Waste bin
The cube-shaped potato peel waste bin is 80 cm high. How many liters of waste can we put into it if we know that the dimensions of the base are 40 cm and 50 cm, the basket is already full to exactly half its height, and as soon as the waste reaches the li - Box and cubes
We have a box with dimensions of 20 cm, 16 cm, and 8 cm. How many cubes can fit in it if the cube has a size of 4 cm? - Sugar box calculation
A pint of sugar weighs 800 g. How many tons of sugar will fit in a 100 cm cube-shaped box? - Pool water height
The pool has sides of 5 m and 2 m, and the water level is 100 hl. Calculate the height of the water in the pool. - Volume and surface area
Find the volume and surface of a wooden block with dimensions: a = 8 cm, b = 10 cm, c = 16 cm. - Planet Earth
What is the weight of the planet Earth if its average density is ρ = 2.5 g/cm³? - Wooden cube weight
Calculate the weight of the cube, which is made of wood with a density ρ = 0.725 g / cm, the edge of the cube is 32 cm, - Ball air volume
The diameter of the ball is 65 cm. What will be the volume of air in the ball after inflating? - Aquarium water calculation
The square-shaped aquarium is 65 cm long, 24 cm wide, and 30 cm high. How many liters of water are in an aquarium if the water reaches 5 cm below its upper edge? - Net of a cube
We can fold this net to form a cube with a side length of 20 units. What is the surface area of the cube in square units? - Pool filling time
The pool is cylindrical, with a diameter of 3.6 meters and a depth of 1.2 meters. How long will it be filled when 2 liters of water flow in 1 second? - Oak trunk
Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³. - Rain
Garden shape of a rectangle measuring 15 m and 20 m rained water up to 3 mm. How many liters of water rained in the garden?
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