Prism practice problems - page 14 of 28
Number of problems found: 550
- Unknown metal
The prism made of unknown metal has dimensions of 3 cm by 3 cm by 5 cm and a weight of 121 g. What metal is it? Write its chemical symbol.
- Overflows 5466
The pool is 15m wide and 40m long and should be filled with water to a height of 2.5m. The water flows at a rate of 400 hl per hour. How many hours will the pool be filled to the required height?
- Dimensions 15133
The aquarium has the dimensions a = 250 cm, b = 50 cm, and c = 60 cm. Water is poured into the aquarium up to 45 cm. Do you calculate how many liters of water are in the aquarium?
- The cuboid
The cuboid is full to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?
- Dimensions of an aquarium
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths?
- Water tank
What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reach 10 cm below the top?
- Millimeters 19473
In the garden of 860 square meters, 4 millimeters of water rained down. How many 10-liter pitchers would we pour this mystery on just as heavily?
- Density 6184
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.
- Volume - pool
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?
- Hectoliters 48941
The pool has dimensions: a length of 50 m, a width of 15 m, and a depth of 2 m. It is filled with water to 1/4 of its depth. How many hectoliters of water are in the pool? How many hectoliters of water can fit in a filled pool?
- Measuring 5554
The block measuring 20 cm, 10 cm, and 8 cm weighs 80 grams. What is the weight of a block made of the same material, the edges of which are half the length?
- 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)
- 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.
- Chocolate roll
The cube of a 5 cm chocolate roll weighs 30 g. How many calories will the identical chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm contain? You know that 100 g
- Brick wall
What is the weight of a solid brick wall that is 30 cm wide, 4 m long, and 2 m high? The density of the brick is 1500 kg per cubic meter.
- Milk package
Milk is sold in a box with dimensions of 9.5 cm, 16.5 cm, and 6.5 cm. Determine the maximum amount of milk that can fit into a box. Coating thickness is negligible.
- Pool model
The 1:500 scale pool model has internal dimensions of 15 cm, 10 cm, and 2.5 mm. Calculate how many hectoliters of water will be needed to fill a pool that will build according to this model.
- Stones in aquarium
In an aquarium with a length of 2 m, a width of 1.5 m, and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m³ into the aquarium without water being poured out?
- Aquarium
Try to estimate the weight of the water in an aquarium 50cm long and 30cm wide when poured to a height of 25cm. Find the weight of the aquarium's water.
- Swimming pool
The swimming pool is shaped like a block and has dimensions of 70dm, 25m, and 200cm. How many hectoliters of water can fit into the pool?
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