The volume of cuboid problems - page 2 of 29
Number of problems found: 580
- A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 24 m 0.8 m and 0.5 m. What will be the volume of a chest in the shape of a cube with the same surface area?
- Two cuboids
The cuboid has dimensions of 2m 3m 4m We increase the length of all edges by 50 cm. 1. Calculate in % how much the surface area of the cuboid increases compared to the surface area of the original cuboid - round the result to whole percent 2. Calculat
- Cutting a cuboid
A cuboid can be cut into 200 cubes, each with a volume of 8 dm cubic. Calculate how many cubes with a volume of 1 cm cubic can this cuboid be cut into without a remainder.
- Boxes of wafers
Wafers measuring 11 3/4 cm, 4 2/5 cm, and 1 2/3 cm are packed in rectangular boxes measuring 23 1/2 cm, 26 2/5 cm, and 6 2/3 cm. What part of the volume of the box does one wafer make up?
- Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and the area of its surface is twice the area of its base. Determine the size of its body diagonal.
- Hollow block
A hollow block is a prism with dimensions a = b = 29 cm, v = 15 cm. The wall thickness is 4.5 cm. What percent of the volume of the block in masonry is its cavity?
- DEnsity of a cuboid
What is the density of a building board in the shape of a cuboid with dimensions 1 m, 20 cm, and 20 cm, if its mass is 84 kg?
- Truck bed
Calculate how many trucks can transport grain from the combine hopper, which is a quadrilateral with a rhombus base with sides of 13dm and 2.8m and a height of 200 cm to the longest side. The hopper is 200 cm long. The truck bed is a cuboid with sides of
- Sand pedestal
The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1m*4m*90cm.
- Assume
Two naughty boys broke the glass on the front door. The glass was 105 cm, 150 cm, and 6 mm thick. They decided to buy the glass from their savings and, since they assumed that it would not weigh more than 12 kg, they would bring it and ask the caretaker t
- Cubes in a box
We have to fill a box 50 cm long, 25 cm wide, and 10 cm high with cubes with 5 cm edges. How many cubes will we need to fill the box?
- Length 83358
A block-shaped pool has a length of 50m, width of 25m, and depth of 3.5 m. When the pool is filled 50 cm below the edge, how many hectoliters of water is in it? If we paint the inside of the pool two coats and you pay 50 cents per 1m2, how much
- Calculate 83311
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume.
- Rainwater 83296
What volume must a cylinder-shaped tank have to collect rainwater from the flat roof of a cube-shaped house if the house is 12m wide and reports 50mm of rainfall?
- Concrete columns
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm.
- Dimensions of an aquarium
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths?
- Approximately 83106
The castle courtyard, with an area of 100 m², is paved with oak cubes with an edge of 8 cm. Approximately 164 bricks were used to pave m². One dm³ of oak wood weighs 0.8 kg. Calculate the weight of all the bricks used to pave the courtyard.
- What quantity
What quantity of concrete should be ordered for concreting a rectangular family house with dimensions of 15 m × 12.6 m using permanent formwork? The depth of the foundation formed by permanent formwork is set at 80 cm. The concrete used constitutes 80% of
- Dimensions 82810
The block has 10 cm, 20 cm, and 50 cm dimensions. We reduce the first edge of the cuboid by 20% and increase the second by 20%. How does the volume of the cuboid change? By how many percent?
- Centimeters 82756
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes
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