Solid geometry, stereometry - page 101 of 121
Number of problems found: 2409
- The bus stop
The bus stop waiting room has the shape of a regular quadrilateral pyramid 4 m high with a 5 m base edge. Calculate how much m² roofing is required to cover the sheathing of three walls, taking 40% of the additional coverage. - Wood cuboid
What is the weight of the wood cuboid 15 cm, 20 cm, and 3 m if 1 m³ wood weighs 800 kg? - What power
What power should the radiator have in a room 5x4 meters with a height of 3 meters? Hint: Calculate 35 watts per meter³ when you need 22 degrees in the room, but you need about 24 degrees in the bathroom. It's an old heating cheat, but it will help you. - Granite cube buoyancy
The granite cube with an edge length of 1 dm and a weight of 2.5 kg is immersed in a container with water. How much buoyancy makes it lighter? How much compressive force does the cube exert on the bottom of the container? - Cubes - diff
The second cube's edge is 2 cm longer than the edge of the first cube. Volume difference blocks are 728 cm³. Calculate the sizes of the edges of the two dice. - Block-shaped tank
The block-shaped tank has dimensions of 320 cm, 50 cm, and 180 cm. 1. How much water can fit in it? 2. It was 45% filled. How much water was in it? - Granite buoyancy pressure
A granite cube with an edge length of 1 dm and a weight of 2.5 kg is completely immersed in a container of water. How much buoyancy does it lighten? How much pressure does the cube exert on the bottom of the container? - Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - The tent
The tent shape of a regular quadrilateral pyramid has a base edge length of a = 2 m and a height of v = 1.8 m. If we have to add 7% of the seams, how many m² of cloth did we need to make the tent? How many m³ of air will be in the tent? - Church roof 2
The roof has the shape of a rotating cone shell with a base diameter of 6 m and a height of 2.5 m. How much money (CZK) will cost the roof cover sheet if 1 m² of metal sheet costs 152 CZK and if you need 15% extra for joints, overlays, and waste? - Sphere growth
How many times does a volume of the sphere rise if priemer rises 10×? - Lampshade 3
The lampshade has the shape of a rotating cone shell with a side of 32 cm and a base diameter of 46 cm. Calculate the paper consumption for its production if you assume that the waste will be 6% - Calculate the pool
Calculate how many square meters are needed to line the pool 6 meters long, 4 meters wide, and 1.5 meters deep. Add 10% to waste. - Aquarium II
Calculate how much glass we need to build an aquarium with a rectangular shape with a base of 65 cm × 52 cm and a height of 74 cm if the waste is 2%. The aquarium doesn't have top glass. - Copper Cu wire
Copper wire with a diameter of 1 mm and a weight of 350 g is wound on a spool. Calculate its length if the copper density is p = 8.9 g/cm cubic. - Cuprum
From the 1600 mm long sheet of copper plate 2 mm thickness, we have separated over the whole length of the belt weighing 6000 g. Calculate belt width if one dm³ copper weighs 8.9 kg. - Medal
Calculate the approximate weight of the gold Olympic medal if its diameter is 7 cm and its thickness 6 mm. The density of gold can be found in tables or on the Internet. - Glass Door Panel Weight
What is the weight of the glass door panel if it is 5 mm thick, 2.1 m high, and 6.5 d wide? The density of glass is 2.5 kg/dm³. - Dimensions - pool
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste. - Necessary paint
3 kg of paint is enough for 18 m² of area. How much paint is needed to paint the walls and bottom of a swimming pool with dimensions of 25 m, 15 m, and a depth of 1.5 meters? Thank you
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