Solid geometry, stereometry - page 11 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
- Wood prisms
How many weight 25 prisms with dimensions of 8x8x200 cm? 1 cubic meter of wood weighs 800 kg. - Calculate 9981
The iron pipe has a length of 2m and a diameter of 4cm. If the density of iron is 7870 kg/m3, calculate its weight. - Half-cylinder 9961
The water feeding trough for cattle has the shape of a half-cylinder with a length of 2 m and a width of 0.8 m. How many m³ of water can be poured into the gutter? How many m² do we need to produce 25 such gutters? - Rainwater
6 mm of water rained on the garden with an area of 25 acres. How many 12-liter cans of water would we water in this garden just as? - Square-shaped 9491
A square-shaped pool with bottom dimensions of 7m * 4m and a height of 1.2m needs to be painted. How much will the paint cost if 1 kg of paint, which is enough for 6 m² of color, costs 3 euros? The painter charges 1 euro for coating 1 m². - Diameter 9271
How many kg of paint do we need to paint a cylinder with a diameter of 60 cm and a length of 2 meters if we use 0.5 kg of color for one square meter of surface? How much will we pay for paint if 1 kg costs CZK 165? - Three-quarters of its volume
The pool has a block shape with a length of 8m, a width of 5.3m, and a depth of 1.5m. How many hectoliters of water is in it if it is filled to three-quarters of its volume? - Diameter of a cylinder
I need to calculate the cylinder volume with a height of 50 cm and a diameter of 30 cm. - Aquarium
I have an aquarium that is 100 cm long and 40 cm wide, and 40 cm in height. We fill it with water. How much will it weigh? - Sphere VS
Find the surface and volume of a sphere with a radius of 2 dm. - 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, i.e., the cone shell? c) What is the weight of the roof if it is made of - Children's 8246
We prepare a pile of sand in the shape of a cone with a height of 1 m and a diameter of 1.6 m. We prepare it for the children's sandpit. What volume of sand does this pile occupy? - Prism 4 sides
Find the surface area and volume four-sided prism high 10 cm if its base is a rectangle measuring 8 cm and 1.2 dm. - Swimming 8077
The swimming pool is 25 m long, 12 m wide, and 2 m deep. The walls and bottom of the pool require regular cleaning. The form that cleans the pool charges CZK 50 per 1 square meter. How much does the owner pay for cleaning the pool? - Cross-section 8047
Calculate the weight of an edge made of spruce wood 6m long when the cross-section of the edge is 146cm square and if the density of the wood is 0.55g / cm cubic. - Aquarium
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 of 50 cm, length of 120 cm, and height of 8.5 dm. - Cylindrical 7941
How high will 1 liter of water in a cylindrical vessel with a bottom diameter of 8 cm reach? - Excavation 7913
The excavator dug an excavation measuring 10mx20m and 30 cm deep. How many tons of stone does it need to load it? - Pyramid 7903
How does the volume of a pyramid change if we triple its height? - Iron ball
The iron ball weighs 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm³.
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