1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga2289 [7]
3 years ago
11

text{Question}} : " alt=" \underline{ \text{Question}} : " align="absmiddle" class="latex-formula"> In the given figure , a cubical vessel of length 10 cm is completely filled with water. If the water is poured into a rectangular vessel of length 25 cm , breadth 20 cm and height 10 cm. Find the height of the water level in the rectangular vessel. How much more water is required to fill the rectangular vessel completely ? ( 1 l = 1000 \sf{ {cm}^{3} } .
⭒Thanks in advance ツ ! ⭒

Mathematics
2 answers:
Oliga [24]3 years ago
3 0

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

V_{C}=(10)^3=1000\text{ cm}^3

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

V_R=h(25)(20)=500h\text{ cm}^3

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

500h=1000

Therefore:

h=2

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

A_{R_M}=20(25)(10)=5000 \text{ cm}^3

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

(5000-1000)\text{ cm}^3=4000\text{ cm}^3

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

Evgen [1.6K]3 years ago
3 0

ANSWER:

Volume of water in cubical vessel = volume of water in cuboidal vessel

⇒10 × 10 × 10 = 25 × 20 × h

⇒h = 1000/500

⇒h = 2㎝.

∴ Height of water in cuboidal vessel,

  • 2㎝.

Now, to completely fill the rectangular vessel, the capacity gap is

5000cm³ - 1000cm³

4000cm³

On conversion, 1000cm³ = 1L

so, Amount of water needed

4000/1000 = 4L.

NOTE: See picture attached.

You might be interested in
A rectangular garden is fenced on all sides with 248 feet of fencing. The garden is 6 feet longer than it is wide. Fine the leng
Shalnov [3]

The total length of the fencing is 248 ft; we call this the "perimeter" of the garden.  Since P = 2W + 2L in general, here:

                       P = 248 ft = 2W + 2(W+6), or   248 ft = 4W + 12.

Subtracting 12 from both sides of this equation:  236 ft = 4W.  Then W = 59 ft, which means that L = 65 ft.

8 0
2 years ago
Directions: Determine how much Marco would be paid
lidiya [134]

Answer:

766.87 is how much he is paid in all.

Step-by-step explanation:

2.5% of 75 is 1.875. 1.875 times 9 is 16.875. 75 times ten is 750. add together to get the whole.

7 0
2 years ago
The sum of 5 and 12 is 7 if and only if
LUCKY_DIMON [66]
The sum of 5 and 12 is 7 if and only if 5 is a negative integer such that
-5 +12 =7.
Integers are whole numbers which are either negatives or positive normally shown using a number line. 
8 0
2 years ago
What is the ratio of 5<br> footballs to 9 Baseballs
Vesna [10]

Answer:

5:9 If that's what you meant

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
75 Points!
9966 [12]

Answer:

50mph

Step-by-step explanation:

Say for example car A increases by 10 miles per hour and car B decreases by 10 miles per hour. If car A2 = car B3 then by eliminating a few numbers and finally get to 50 you get the following equation.

A = 50+10

b = 50-10

A = 60

B = 40

A2 = 120

B3 = 120

120 = 120

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is 235 divided by 5?
    11·2 answers
  • List 3 values that would make this inequality true 43 &lt; y -30
    7·1 answer
  • What are the coordinates of the endpoints of segment m’n’
    9·2 answers
  • A price is decreased from £800 to £640. Calculate the percentage change.
    13·2 answers
  • What does m equal 2+2m=6
    15·2 answers
  • In a normal distribution, what percentage of the data falls within 3 standard deviations of the mean?
    9·1 answer
  • The population of Colorado is more than 5 x 106 people, while the population of the United States is more than 3 x 108 people. W
    10·1 answer
  • Kiara spent $36 and had $12 left.<br><br> what percent money did she spend
    11·2 answers
  • If YV = 28 in, find the length of the major arc VYX. Round to the nearest tenth ( one decimal place).
    7·1 answer
  • Which is the simplified form of r^-7 + s^-12
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!