Prism practice problems - page 14 of 29
Number of problems found: 564
- Brick pillar
The brick pillar with a cross-section of 41x77 cm has a height of 3.25 m. Calculate: (a) the volume of the pillar b) the required number of bricks (if we need 400 pieces per 1 cubic meter) - Tank 30
A water tank has the shape of a cuboid with a square base of side 2 m and a depth of 3 m. How many more litres of water can the tank hold if both base edges are increased by 1 m and the tank is deepened by half a metre? - Pillar 4
A square prism pillar is 10 metres high with a base edge of 90 cm. How many bricks are needed to build it if 1 brick has a volume of 1.2 dm³? - 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. - 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. - Gasoline Tank Volume Positions
The closed petrol tank is a cuboid with dimensions of 80cm, 30cm, and 20cm. The petrol level reaches 6cm below the upper edge of the tank. Determine the amount of gasoline in the tank in liters for all possible, stable positions of the tank. - Pool water capacity
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? - The glass
1 m³ of glass weighs 2600 kg. Calculate the weight of the glass glazing panel with dimensions of 2.5 m and 3.8 m if the thickness of the glass is 0.8 cm. - Pool Water Height
A 1-meter-wide sidewalk will be paved around the block-shaped pool in the garden. The dimensions of the bottom of the pool are 8.5 meters and 6 meters. The height of the pool walls is 2 meters. There are 86.7 m³ of water in the pool. How high did the wate - Waste bin
The cube-shaped potato peel waste bin is 80 cm high. How many liters of waste can we put into it if we know that the dimensions of the base are 40 cm and 50 cm, the basket is already full to exactly half its height, and as soon as the waste reaches the li - 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. - Hectoliters
How deep is the pool if there are 2025 hectoliters of water, the bottom dimensions are a = 15 meters b = 7.5 meters, and the water level is up to 9/10 (nine-tenths) of the height? - Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - Sewerage
A heavy rain came onto a football pitch with dimensions 110 m x 70 m and during 15 minutes water fell to a height of 80 mm on each m². The pitch is constructed so that it is drained and water can flow away through 4 channels, each with an internal cross-s - Ice + water
A rectangular ice rink measuring 60 m × 30 m had a layer of ice 3 cm thick. How many litres of water were used to create the ice? - Measuring aquarium
The aquarium has the shape of a block measuring 80 cm, 30 cm, and 20 cm. The water level reaches 6 cm below the upper edge. How many liters of water are in the aquarium? (1 liter = 1 dm3) - 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. - 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) - Fire Tank Water Volume
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. - Irregular Body Volume The aquarium has a rectangular base of 0.5 m × 0.3 m. By immersing the irregular body, the level enters by 3 cm. Calculate the volume of the body.
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