Icerink

Rectangular rink with dimensions of 68.7 m and 561 dm must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for the formation of ice when the volume of ice is 9.7% greater than the volume of water.

Correct result:

V =  146169 l

Solution:

$$\begin{gathered} x=68.7\text{ m}\to \text{ dm}=68.7\cdot 10\text{ dm}=687\text{ dm dm } \\ y=561\text{ dm } \\ z=4.2\text{ cm}\to \text{ dm}=4.2\mathrm{/}10\text{ dm}=0.42\text{ dm dm } \\ {V}_1=x\cdot y\cdot z=687\cdot 561\cdot 0.42=161870.94\text{ l } \\ q=1-{\displaystyle \frac{9.7}{100}}={\displaystyle \frac{903}{1000}}=0.903 \\ V=V_1\cdot q=161870.94\cdot 0.903=146169\text{ l} \end{gathered}$$

Try another example

Showing 0 comments:

Related math problems and questions:

• Ice and water
  We want to cover rectangular rink with dimensions of 55 m and 25 m with 4cm thick layer of ice. How many liters of water we need if after freezing water increases its volume by 10%?
• Freezer
  The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, 30 cm. A layer of ice of 23 mm thick was formed on the inner walls (and on the opening) of the freezer. How many liters of water will drain if we dispose the freezer?
• The cuboid
  He cuboid is full to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?
• Tanks
  The fire tank has a cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl. How many barrels were used if the water level in the tank fallen 5 cm? W
• Sea water
  Seawater contains about 4.3% salt. How many dm³ of distilled water we must pour into 5 dm³ of sea water to get water with 1.8% salt?
• Four prisms
  Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The base of the prism is a rhombus with a side length of 30 cm and a height of 27 cm. The heig
• Water tank 2
  Water tank cuboid is 12 meters long and 6.5 meters wide and 1.2 meters high. How many hectoliters are in the tank when it is filled to 81%?
• Cuboid 5
  Calculate the mass of the cuboid with dimensions of 12 cm; 0.8 dm and 100 mm made from spruce wood (density = 550 kg/m³).
• Tray
  Wjat height reach water level in the tray shaped a cuboid, if it is 420 liters of water and bottom dimensions are 120 cm and 70 cm.
• Swimming pool
  The pool shape of a cuboid is 299 m³ full of water. Determine the dimensions of its bottom if the water depth is 282 cm and one bottom dimension is 4.7 m greater than the second.
• The body
  The body has dimensions of 2m 2dm and 10 cm. It weighs 28 kg. What is its density?
• Fuel economy
  How many kilometers is sufficient petrol in the cylinder fuel tank with a diameter 40 cm and the base of tank length 1 m, when it is filled to 60% and if the car consume 15 liters per 100 km?
• Pouring alcohol
  100 liters of alcohol has 70% How many liters of water need to be added to have 60% alcohol?
• Percentages
  Calculate the percentages to two decimal places: a / 15 min in 4 hours B / 35 cm² of 12.5 dm² c / 2dm² of 400 cm² D / 0.2 liters from 2.2 liters
• The room
  The room has a cuboid shape with dimensions: length 50m and width 60dm and height 300cm. Calculate how much this room will cost paint (floor is not painted) if the window and door area is 15% of the total area and 1m² cost 15 euro.
• Truncated pyramid
  How many cubic meters is the volume of a regular four-sided truncated pyramid with edges one meter and 60 cm and high 250 mm?
• Trough
  How many liters of water per second can go via trough, which has a cross section of semicircle with radius 2.5 m and speed of water is 147 cm per second?