Unit conversion + cuboid - practice problems - page 5 of 18
Number of problems found: 351
- Cuboid - box
The box has the shape of a cuboid with dimensions of 5 cm and 30 mm. Calculate the box's height if the cuboid's volume is 0.60 dm³. Calculate the surface area of the box. (calculation of height from the volume, calculation of area from the formula, keep - The wall
We have to build a cuboid wall with dimensions based on 30 cm and 45 cm and a height of 3.25 meters. Calculate how many we need bricks if we spend 400 pieces of bricks to 1 m³ of the wall. - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge? - Calculate 67794
Calculate the volume of the cuboid in the given unit if you know the lengths of its edges. A) a = 20 cm, b = 3 cm, c = 7 cm, (length) B) a = 10 mm, b = 8 mm, c = 9 mm, (ml) C) a = 30 cm, b = 5 cm, c = 8 cm, (l) D) a = 300 mm, b = 4 m, c = 7 dm, (hl)
- Dimensions 33763
The pool has dimensions of 4.8 m and 65 dm. To what height is water filled in a pool if there is 1,029.6 hl of water in it? - Aquarium 7588
The aquarium has a length of 0.7m and a width of 25cm. What is its depth if it does not reach more than 87.5 liters of water? - Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - 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. - Rectangular 4546
Thirty watering cans of 8 liters of water are brought to the rectangular garden measuring 15 m and 10 m. During the rain, 2 mm of water fell on the garden. When was the flowerbed more watered?
- Aquarium 67724
The aquarium measures 40 cm, 40 cm, and 50 cm. The water reaches 45 mm from the upper edge. Norbert bought the fish, and when he put them in the aquarium, the step level was 0.5 mm. What is the volume of new fish? - 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. - Hectoliters
How deep is the pool if there are 2025 hectoliters of water and the bottom dimensions are a = 15 meters b = 7.5 meters, and the water level is up to 9/10 (nine-tenths) of height? - Water level
To cuboid-shaped poll, bottom size 2m and 3.5m, flows water at a rate of 50 liters per minute. How long will it take for water to reach level 50 cm? - Metal box
How much metal do we need to produce in a box with dimensions of 5 dm, 30 cm, and a height of 1 m? Add 12% of the waste and fold.
- Measuring 46271
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³). - Calculate 45563
Calculate the weight of a wooden board 18 dm long, two dm wide, and 0.3 dm thick if you know that 1 m³ of wood weighs 660 kg. - Block-shaped 25691
A block-shaped pressure vessel with dimensions of 1.5 m, 2 m, and 3 m is filled with compressed gas. After being released from the container, the volume of the gas increases four times. What volume does the gas occupy after it is released from the contain - Contain 19203
The water tank has the shape of a block. The inner length is 5.2 meters, the width is 2.4 meters, and the depth is 1.5 meters. How many liters of water does the tank contain if it is filled to 3/5 of its depth? - Volume 7434
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?
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