Prism practice problems - page 13 of 28
Number of problems found: 550
- 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.
- 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?
- Block-shaped 4554
How many hectoliters of water can fit in a block-shaped tank with dimensions 24 m, 15 m, and 2 m deep? How many hectoliters of water must be drained so that the depth in the tank is only 15 dm? If the tank is full, how much water must be drained so that t
- Aquarium 5315
The aquarium, with a length - of 40 cm, width - of 24 cm, and height of 27 cm, is filled to 2/3. How much water do we need to add to be filled to 8/9?
- Cross-section 5089
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)
- Rainfall
A rectangular garden of 25m in length and width 20m in width is filled with 4mm of water. Express by a fraction in basic form what part of the 60-hectolitre tank we would fill with this water.
- Roof repair
To repair the roof, we need 15 pieces of boards 6 m long, 15 cm wide, and 25 mm thick. If 1 m³ of boards costs 500 euros, how many euros will we pay for all the boards?
- 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?
- 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)
- Dimensions 6263
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.
- 1-meter-wide 6001
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
- Rectangular 4547
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour?
- Waste container eco
The waste box is shaped like a block and has dimensions of 1.8 m, 1.5 m, and 1.2 m. If 0.25 m³ of waste is added to it every day, how many days will it be filled?
- Pool
How many hectoliters of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m²?
- Calculate 6193
On a project with a scale of 1:250, the length of the pool is 2.00mm, and the width is 1.00mm. The depth of the pool is 1.5 m. Calculate how many hectoliters of water will fit in the 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.
- Dimensions 81957
How many bricks are needed to build a wall that is 12 m long, 1.6 m high, and 47 cm wide if the dimensions of the brick are 30 x 15 x 7.5 cm and 5% of the wall volume is mortar?
- The tank
The tank is full up to 4/5 of the total height and contains 240 hl of water. The area of the base is 6 square meters. What is the height of the tank?
- Eights of butter
How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, and 1.8 dm if an eighth of butter has dimensions of 8 cm, 5 cm, 3 cm?
- Measuring 45801
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)
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