Solid geometry, stereometry - page 10 of 114
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: 2265
- 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. - Half-sphere roof
The roof above the castle tower has the shape of a 12.8 m diameter half-sphere. What is this roof's cost if the cost of 1 square meter is 12 euros and 40 cents? - Hectoliters 7665
Garden tank dimensions: length. ..4,6 meters, width. ..3,8 meters, depth. ..1.6 meters. How many hectoliters of water is in the tank when it is filled to 2/3? - Rectangular 7647
There are 140 liters of water in a rectangular aquarium with 800 mm and 50 cm base dimensions. How high in cm does the water level reach? What is the area in dm² of the inner walls of this aquarium up to the water level? - Calculate 7587
Calculate the volume and surface of a block 3 cm wide, 6 cm long, and 8 cm high. - Volume 7434
The pool, 10.5 m wide, 50 m long, and 3 m deep, will be filled in 3 days. On the first day, 2/5 of the water volume flowed into it, and 1/3 of the rest on the second day. How many liters of water flowed into the pool on the third day? - Four-fifths 7358
The rectangular pool with bottom dimensions of 12m and 25m is 200cm deep. The first faucet flows 2.4 hl per minute, the second 6 l per 1 second. How long will it take for the pool to be filled to four-fifths of its height? - Length 7308
How many ml of water will fit in a cube with an edge length of 5 cm? - Hectoliters 7174
Calculate how many hectoliters of water are in a fire tank with dimensions of 7 m and 6.5 m if it is 2 m deep and the water reaches 50 cm below the edge. - Reservoir 3
How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet? - Dort
The cube-shaped cube box has dimensions of 30 cm × 30 cm × 12 cm. How many CZK (Czech crowns) would it cost to be the biggest cake that would fit into the box when a 10 cm³ cake costs CZK 0.5? The cake has the same shape as the box.
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