Stones in aquarium

In an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep, the water is up to three-quarters of the depth. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes)

Correct answer:

x =  0

Step-by-step explanation:

$$\begin{gathered} a=2\text{ m } \\ b=1.5\text{ m } \\ c=2.5\text{ m } \\ V=a\cdot b\cdot c=2\cdot 1.5\cdot 2.5={\displaystyle \frac{15}{2}}=7\frac{1}{2}=7.5{\text{m}}^3 \\ {V}_1={\displaystyle \frac{3}{4}}\cdot V={\displaystyle \frac{3}{4}}\cdot 7.5={\displaystyle \frac{45}{8}}=5\frac{5}{8}=5.625{\text{m}}^3 \\ {V}_2=V_1+2=5.625+2={\displaystyle \frac{61}{8}}=7\frac{5}{8}=7.625{\text{m}}^3 \\ {V}_2>V \\ x=0=0 \end{gathered}$$

Try another example

Related math problems and questions:

• Stones in aquarium
  In an aquarium with a length 2 m; width 1.5 m and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m³ into the aquarium without water being poured out?
• Three-quarters of its volume
  The pool has a block shape with a length of 8m, a width of 5.3m and a depth of 1.5m. How many hl of water is in it if it is filled to three-quarters of its volume?
• The excavation
  The excavation for the city sewer was 38 m long, 2.2 m wide, and 3 m deep. a) How many cubic meters of soil were dredged b) How many journeys had to be made by one car when removing the soil if they loaded an average of 4.5 m of cubic soil on each journey
• Aquarium volume
  The aquarium has a cuboid shape and dimensions a = 0.3 m, b = 0.85 m, c =? , V = ?. What volume has a body, if after dipping into the aquarium water level rises by 28 mm?
• 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?
• An aquarium
  An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide and is completely filled with water. The density of water is 1,000 kg/m³. What is the mass of the water in the tank?
• Water depth
  How many square meters of the inside of the pool wet the water if the pool is 25 meters long and 10 meters wide and the water depth is 1.2 meters everywhere.
• Aquarium
  Can 30 liters of water fit in a cuboid aquarium with dimensions a = 3dm b = 6dm c = 5dm?
• The trench
  Calculate how many cubic meters of soil needs to be removed from the excavation in the shape of an isosceles trapezoid, the top width is 3 meters, the lower width is 1.8 m, the depth of the excavation is 1 m, and the length is 20 m.
• Basen
  How many square meters of tiles we need to tile the walls and floor of the pool 15 meters long, six meters wide and two meters?deep
• 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?
• Water lake
  The length of the lake water is 8 meters width 7 meters and depth 120 centimeters. How many liters of water can fit into the water lake?
• The aquarium
  The aquarium is 120 cm long, 70 cm wide and 96 cm high. How high does the water reach if they filled 168l of water into the aquarium?
• Aquarium
  Try to estimate the weight of the water in an aquarium 50cm long 30cm wide, when poured to a height of 25cm. Calculates the weight of the aquarium's water.
• 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%?
• 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
• Water tank
  Water tank shape of cuboid has dimensions of the bottom 7.5 meters and 3 meters. How high will reach the water in the tank will flow 10 liters of water per second and the inflow will be open 5/6 hour? (Calculate to one decimal place and the results give i