Volume Conversion Word Problems - page 4 of 47
Number of problems found: 923
- Katy 7
Katy ordered a cylinder-shaped cake with a volume of 15.7 litres. It consists of two layers. The volume of the upper layer is 4 times smaller than the volume of the lower layer. The height of both layers is the same and equals the radius of the upper laye - Courtyard oak bricks
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. - Diesel tank filling
The diesel tank has a volume of 19.6 hl. The inflow oven, which flows 17.5 l per minute, was opened for 1.5 hours. How long does the inlet pipe need to be opened for the tank to be completely filled? - Steel rope weight
Calculate the weight in kg of a steel rope 1.5 cm in diameter and 10 m long if one cubic centimeter of steel weighs 7.8 g - Pool inflow half
The pool has a maximum water capacity of 1200 hl. How many hours will the pool be half complete if the first inflow is 200 l per minute and the second 100 l per minute? - What quantity
What volume of concrete should be ordered for the foundations of 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 - Iron ball
Calculate the radius of an iron ball with a density of 7.8 g/cm³ and a mass of 7 kg. - Dimensions - building
The H-shaped building consists of 3 parts. Two identical components have the following dimensions: height 805 cm, width 525 cm, and length 15 m. The third cube-shaped part is 7 m wide. What is the total volume of the building in cubic meters? - Steel weight thread
A round steel weight (ρ1=7800 kg/m3) is suspended on a thread and immersed in water (ρ2=1000 kg/m3). The volume of the weight is 1 dm³. With what force is the thread stretched? - Sugar minicubes
1 kg of cubed sugar consists of 840 cubes with an edge of 1.1 cm. Determine the sugar's density and the box's dimensions if the cubes are lined up in seven rows of nine cubes each. How many square meters of cardboard are needed to make 3000 boxes? - Aquarium water liters
We are to fill an aquarium with a bottom dimension of 30 cm x 30 cm with water. How many liters of water will we need if we pour water to a height of 20 cm? - Calculate cuboid, diagonals
The volume of a cuboid with a square base is 64 cm3, and the space diagonal deviation from the base's plane is 45 degrees. Calculate its surface area. - Nozzle water speed
A water spray nozzle with a cross-section of 1.5 cm² sprays water at a speed of 24 m/s. What is the speed of the current in the supply pipe whose cross-section has a volume of 18 cm²? - Glass cocktail level
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass? - Orange juice ratio
George had 1 liter of pure orange juice in the bottle. He drained 2 deciliters of it and replaced it with water. What is the ratio of orange juice to water in the bottle now? - Cubes in a box
How many cubes with an edge of 0.2 dm fit into a box that is also shaped like a cube with an edge of 10 cm? - Barrel ethanol weight
What is the weight of a two-hundred-liter barrel with ethanol if the empty barrel weighs 50 kg? - Box height volume
What is the height of a box whose base edges are 50 mm long and 0 full six dm if its volume is 120 cubic centimeters? - Copper wire meters
How many meters of copper wire with a diameter of d=3 mm will be produced from 60 kg of copper scrap if the specific gravity of copper is p=9 g/cm³? - Quadrilateral prism
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the space diagonal makes an angle of 66° with the base.
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