The volume of prism problems - page 13 of 21
Number of problems found: 408
- The aquarium
The aquarium has a capacity of 18 liters. When the square bottom is 28 2/3 cm long, what is its height?
- Rectangular 7215
The rectangular rink with dimensions of 50 m and 25 m should be covered with a layer of ice 4 cm high. How many liters of water are needed to make ice if the ice volume is 10% greater than the volume of water?
- 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.
- 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.
- Corresponding 7100
A honeycomb is made up of cells that resemble a regular hexagonal prism, with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. a) How many liters of honey are there in the whole comb if the comb consists o
- Aquarium 7098
The zoo has an aquarium with a length of 2.5 m, a width of 1.5 m, and a depth of 2 m. The water reaches 3/4 of the height of the aquarium. Can we put a 2 m³ stone in the aquarium without the water spilling out of the aquarium? (1=Yes, 0=No)
- 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?
- 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?
- Water level
How high is the water in the swimming pool with dimensions of 37m in length and 15m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second?
- Triangular 6950
A triangular prism has the base of a right triangle with 6 dm and 8 dm legs and a hypotenuse of 10 dm. The height of the prism is 40 dm. What is the volume of a prism?
- Perpendicular prism
Calculate the volume of the vertical prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs.
- Density of the concrete
If the weight of the cuboid-shaped column is 200 kg, find the density of the concrete with dimensions 20 x 20 cm x 2 m.
- Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume.
- Sand path
How much m³ of sand is needed to fill the 1.5m wide path around a rectangular flowerbed of 8m and 14m if the sand layer is 6cm high?
- Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume.
- Swimming 6649
How long will the swimming pool be 20 m long, 12 m wide, and 2 m deep? Two inlets are used for filling, each filling nine hectoliters of water per minute.
- Perpendicular 6624
A = 3 cm b = 4 cm prism height h = 10cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b.
- Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm.
- Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
- Stones in aquarium
The water is up to three-quarters of the depth in an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes)
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