Solid geometry, stereometry - page 9 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: 2283
- 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? - Calculate 22533
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, - Inflating 22523
The diameter of the ball is 65cm. What will be the volume of air in the ball after inflating?
- Square-shaped 22513
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? - Calculate 22263
The aquarium has the shape of a sphere with a diameter of 36 cm. Estimate and then calculate how many liters of water will fit in the aquarium when we fill it to the brim. - 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? - Cylindrical 22193
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.
- Barrel-shaped 21933
We have a barrel-shaped barrel that has a bottom diameter of 60 cm. How many cm will the water level rise if we add 50 liters of water to the barrel? - 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? - Calculate 21743
Calculate the volume of the block in liters with edge lengths of 3dm, 15cm, and 120mm. - Block-shaped 21493
How many sheets need to be closed on the block-shaped container above), which is 4 m wide, 250 cm long, and 35 dm high? How many liters of water can fit in it? - Calculate 21163
Calculate the volume and surface area of the sphere if given r = 36mm
- Cylindrical 21123
When the body was immersed in a cylindrical vessel filled with water, the water level in the vessel rose by 28 mm. Calculate the volume of the immersed body if you know that the diameter of the bottom of the container is 8 cm. - Cylindrical 20803
The cylindrical container has a height of v = 85 cm. The diameter of the container is 8 cm. How many liters of water will fit in this container when it is half full? - Surface 20673
Find the surface of the cube with an edge of 7.2 cm. - Block-shaped 19193
The pressure pump delivers two cubic meters of water to the block-shaped water tank in 1 minute. The tank has a 7 m and a width of 5 meters. How much water does it draw in 1 hour? How high does the water reach in the tank? - Calculate 19083
A) The wooden cube has an edge 14.7 cm long. Calculate its surface area and volume. B) The metal cube has an inner edge of 13.6 cm long. How many cm of water can fit in it?
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