Square + prism - practice problems
Number of problems found: 157
- Density 67774
The prism, whose base is square / the side of the square is 20 cm / 30 cm high, is made of oak wood, and weighs 8.5 kg. What is the density of oak wood?
- Cloth / textile
We have a cloth measuring 16 square meters. How many 20 cm by 20 cm by 8 cm bags can you make? Assume the bag is a cuboid without one top base.
- TV transmitter
The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have
- Mr. Gardener
Mr. Gardener wants to make wood for the balcony. Boxes. Each will have the shape of a perpendicular prism with a square base. The height is limited to 60 cm. He will fill each container with soil by pouring the whole bag of substrate sold in a package con
The box-shaped aquarium is 40 cm high; the bottom has 70 cm and 50 cm dimensions. Simon wanted to create an exciting environment for the fish, so he fixed three pillars to the bottom. They all have the shape of a cuboid with a square base. The base edge o
- Kilograms 4994
The janitor is to paint the computer room walls, which are 7 m long, 5 m wide and 3 m high. The classroom has four square windows with a length of 1 m and a door 1 m wide and 2 m high. At least how many kilograms of paint should he buy if 1 kg of paint pa
- Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, the
- Transported 20543
How many cars will the dirt be transported in an excavation 10 m long, 11 m deep, and 70 cm wide if the load capacity of each used car is 2 tons? The clay density is 1,800 kg / m².
- Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5: 2: 4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?
- Pool tiles
The pool is 25m long, 10m wide, and 160cm deep. How many m² of tiles will be needed on the walls and the pool? How many tiles are needed when one tile has a square shape with a 20cm side? How much does it cost when 1m² of tiles costs 258 Kc?
- A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x.
The flowerbed has a length of 3500mm and a width of 1400mm. How much foil is needed to cover the flowerbed? How many m² of foil was consumed for its production (add 10% of the material to the joint and waste)? How many liters of air is inside the enclosur
- The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board?
- The factory
The factory ordered 500 hexagonal steel bars of square sections with 25 mm sides. How many cars with a load capacity of 3 tonnes will be needed for bar move if the steel density is 7,850 kg.m-3?
- Company 6387
At the foot of the house are three columns with a square base 2.5 m high and 6 dm thick. How much do we pay if we want to cover them with boards and the company charges 12 euros per 1 square meter?
- Three-quarters 6192
The swimming pool in the Veselý yard is square-shaped with dimensions of 2.5m by 3.4m and is 1.7 meters deep. How many liters are in the pool if it is filled to three-quarters of its total volume? Please round the result to tenths.
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.
Anton wants to cover the cover for the game on the Playstation with the original paper. The cover has the shape of a block measuring 13 cm × 17 cm × 15 cm. Anton bought 0.35 m² of silver paper. Will the paper be enough to cover the cover? (1 = Yes, 0 = No
- Empty aquarium
How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm² of glass weighs 300 g? Calculate its weight in kilograms.
- Children's pool
The children's pool at swimming pool is 10m long, 5m wide, and 50cm deep. Calculate: (a) how many m² of tiles are needed for lining the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool?
Square practice problems. Prism practice problems.