Solid geometry, stereometry - page 38 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
- Original 63984
If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube. - Calculate 32513
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume - Diameter 48211
What is the diameter of the ball (for men) if it weighs 7,250 g and ρ = 7.8g / cm³ - Volumes 24771
The block and the cube have the same volumes = 216 cm³. The block has side lengths of b = 4 cm, c = 9 cm. Can they have the same side?
- Calculate 26051
The base of the prism has the shape of a square with a side of 10 cm. The height of the prism is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - Centimeter 23781
Calculate the diameter of a cylinder 7.5 dm high with a volume of 0.6 hl. Express the result to the nearest centimeter. - Cube 5
The surface of the cube is 15.36 dm². How will change the surface area of this cube if the length of the edges is reduced by 2 cm? - Calculate 64584
The base of the block is a square with an area of 16 cm². The surface of the block is 128 cm². You calculate the volume of the block in cm³. - Calculate 20893
The volume of the cylinder is 193 cm³, and the radius of its base is 6.4 cm. Calculate the height and surface of the cylinder to 1 decimal place.
- Millimeter 7269
The road is paved with 2500cm cubic cubes. Calculate the edge size to the nearest millimeter. - Dimensions 3086
The red cube has an edge 0.2 dm smaller than the blue cube. The surface of the blue cube is 294 cm². What are the dimensions of the cubes? - Traffic cones
Forty identical traffic cones with a base diameter d = 3 dm and a height v = 6 dm should be painted on the outside with orange paint (without base). How many crowns do we pay for color? If we need 50 cm³ of paint to paint, 1m² and 1l of paint cost CZK 80? - Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D - Original 18203
There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube?
- The length 9
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid? - Material 16923
The cube weighs 32 kg. How much kg does a cube made of the same material, which has an edge four times shorter, weigh? - The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm. - Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance between opposing sides is 104 cm, and the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of pla - Cylinder 11141
The area of the cylinder shell is 300 cm², the height of which is equal to the diameter of the base. Find the surface of the cylinder.
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