Solid geometry, stereometrySolid 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: 1137
- The road
The road roller has a diameter of 1.2 m and a width of 180 cm. How many m² of road does it level when it turns 35 times?
How many m² of mesh farmer use for fencing of a cuboid cage with dimensions 25m, 18m, and 2.5m?
- Cuboid box
Cuboid box have dimensions of 30 cm, 25 cm and 40 cm. Sketch its network and compute surface area of box.
- 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?
The Garden plastic greenhouse is shaped half-cylinder with a diameter of 6 m and base length 20 m. At least how many m² of plastic is needed for its cover?
- The diameter
The diameter of the cone is 24 cm, the radius is 12 cm. How many cm does height measure if it is one-third larger than the radius of the cone?
- The diagram
The diagram is a cone of radius 8cm and height 10cm. The diameter of the base is. ..
- Fit ball
What is the size of the surface of Gymball (FIT - ball) with a diameter of 65 cm?
The kitchen roller has a diameter $d mm and width of $s mm. How many square millimeters roll on one turn?
- The cube - simple
Calculate the surface of the cube measuring 15 centimeters.
- Cube surface area
The Wall of the cube has a content area 99 cm square. What is the surface of the cube?
The flowerbed has a length 3500mm and a width 1400mm. How many foil is needed to covers the flowerbed? How many m² of foil was consumed for its production (add 10% of the material to the joint and waste)? How many liters of air is inside the enclosure? (F
The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
- Castle model
The castle model has a cone-shaped roof. The cone side is 45 cm long and the base radius is 27 cm. a) What is the roof volume? b) How many dm² of wallpaper is used to glue the roof, ie the cone shell? c) What is the weight of the roof if it is made of woo
- Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second are differ by 19272 cm². Calculate the edge length of both cubes.
- Wooden block
A cuboid-shaped wooden block has 6 cm length, 4 cm breadth, and 1 cm height. Two faces measuring 4 cm x 1 cm are colored in black. Two faces measuring 6 cm x 1 cm are colored in red. Two faces measuring 6 cm x 4 cm are colored in green. The block is divid
- Empty aquarium
How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm² of glass weighs 300 g? Calculate its weight in kilograms.
Find how many dm² of glass we need to make a block-shaped aquarium (the top is not covered) if the dimensions of the aquarium are to be: width 50 cm, length 120 cm, and height 8.5 dm.
- Total displacement
Calculate total displacement of the 12-cylinder engine with the diameter of the piston bore B = 8.9 cm and stroke S=1.9 cm of the piston. Help: the crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and back
- Base side
In a quadrilateral prism, are known surface area S = 12400 mm² base side m = 40mm and prism height = 120mm, what is the length of base side n =?
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