Cuboid practice problems - page 9 of 39
Number of problems found: 761
- The soap
The soap has the shape of a cuboid with dimensions of 6 cm, 4 cm, and 2 cm. Katy used it for a week and all the dimensions of the soap shrunk by half. How long will her soap last? - Wood material
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). - 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 a level of 50 cm? - Snails
How many liters of water will fit in an aquarium with bottom dimensions of 30 cm and 25 cm and a height of 60 cm if we pour water up to a height of 58 cm? How many snails can we keep in an aquarium if we know that snails need 600 cm³ of water for their li - 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. - Weight of air
What is the weight of air in the living room measuring width 6 m, length 4 m, and height 2.56 m? Air density is ρ = 1.2959 kg/m³. - Board weight
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. - Board paint calculation
Štěpán painted a block-shaped steel board measuring 2.2 m, 1.5 m, and 1.6 m twice with a protective coating. How many kilograms of paint would he consume if he used 120g of paint per 1m²? - Block Dimensions Volume Change
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm? - Pool capacity
The swimming pool also has a 15-meter-long pool 8 meters wide with a constant depth of 2 meters. If it is always filled 10 cm below the edge, how many hectoliters of water can fit in it? - Water overflow
A rectangular container has a length of 30 cm, a width of 20 cm, and a height of 24 cm. It is filled with water to a depth of 15 cm. Some water overflows when an additional 6.5 liters of water is poured into the container. How many liters of water overflo - Pool water filling
They filled the 25m long, 15m wide swimming pool with water to a height of 80cm. How many hectoliters of water did they put in, and how long did it take for the pool to fill if 375 hectoliters flow in 1 hour? - Sand loading
The truck, with a load capacity of 7 tons, has a storage area of 4.5 m and 2.1 m. The weight of 1 m³ of wet sand is 2,000 kg. How high can we load the sand, so the car's load capacity is not exceeded? - Cuboids
Two separate cuboids with different orientations are in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633) - Recommended dimensions
Michael bought an aquarium in the shape of a block with dimensions of the bottom 30 cm x 15 cm and a height of 20 cm. The salesman recommended that he fill the aquarium with water only up to a height of 15 cm. How many liters of water does Michael have to - 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. - Aquarium Fish Capacity
The aquarium, 60 cm long, 30 cm wide, and 40 cm high are filled with water up to 9/10 high. How many fish can there be if everyone needs at least 3 liters of water? - Copper sheet weight
The copper sheet metal has a thickness of 3 mm, is 0.9 meters long, and is 75 hundred meters wide. How many kilos does it weigh if one dm³ copper weighs 8.8kg? - Concrete box
The concrete box with walls thick 6 cm has the following external dimensions: length 1.6 m, width 39 cm, and height 32 cm. How many liters of soil can fit if I fill it to the brim? - Paper box
The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must the largest volume of the box be beside the squares?
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