Solid geometry, stereometry - page 12 of 117
Number of problems found: 2336
- Prism 4 sides
Find the surface area and volume of a four-sided prism high 10 cm if its base is a rectangle measuring 8 cm and 1.2 dm.
- Aquarium
Find how many dm² of glass we need to make a block-shaped aquarium (the top is not covered) if the dimensions are to be a 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?
- 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 12 m and 25m, is 200 cm deep. The first faucet flows 2.4 hl per minute and the second 6 l per 1 second. How long will it take for the pool to be filled to four-fifths of its height?
- Water in a cube
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.
- Grandfather's 7087
What height in meters is my grandfather's pool if it can hold 7350 liters of water, and the lower dimensions of the pool are 2.1 and 2.5 meters?
- Six-sevenths 7086
The tank is 3.3 m cube-shaped. If it is filled to six-sevenths of its volume, how many liters of water are in it?
- Children's pool
The children's pool at the swimming pool is 10m long, 5m wide, and 50cm deep. Calculate: (a) how many m² of tiles are needed to line the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool?
- Cage
How many m² of mesh does a farmer use for fencing a cuboid cage with 25m, 18m, and 2.5m dimensions?
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