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
katrin2010 [14]
3 years ago
9

The surface areas of two similar solids are 384 yd2 and 1057 yd2. the volume of the larger solid is 1795 yd3. what is the volume

of the smaller solid?
Mathematics
2 answers:
White raven [17]3 years ago
6 0
For similar triangles, the ratio of the corresponding sides are equal. To determine the common ratio, we take the square root of the ratio of the given areas.
                           ratio = sqrt (384 / 1057)
                           ratio = 384/1057
Then, for the volume, we have to cube the ratio calculated above. If we let x be the value of the volume of the smaller solid.
                       (384/1057)^3 = x/1795
                                x = 86 yd
Thus, the volume of the smaller figure is 86 yd³.
Vesnalui [34]3 years ago
5 0

Answer:

The volume of the smaller solid is approximately 393.051 yd³.

Step-by-step explanation:

Since, if two solids are similar then the scale factor of similarity is the square root of the ratio of their corresponding surface areas.

Given the surface areas of two similar solids are 384 yd² and 1057 yd²,

Thus,

\text{Scale factor}=\sqrt{\frac{384}{1057}}

Now, the ratio of volumes of two similar solids is cube of the scalar factor of similarity,

Here, the volume of the larger solid is 1795 yd³,

Let V be the area of the smaller solid,

\implies \frac{V}{1795}=(\sqrt{\frac{384}{1057}})^3\implies V=393.050912175\approx 393.051\text{ Cube yard}

Hence, the volume of the smaller solid is approximately 393.051 yd³.

You might be interested in
Hi i just want to be <br>Friends with I am from Philippines ​
grin007 [14]

Answer:

HI HI from the UK,

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,
N76 [4]

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

Ratio = 3 : 10 : 7

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

S_1 = \frac{3}{3 + 10 + 7} *180

S_1 = \frac{3 *180}{20}

S_1 = \frac{540}{20}

S_1 = 27

The side with ratio 10 is:

S_2 = \frac{10}{3 + 10 + 7} *180

S_2 = \frac{10 *180}{20}

S_2 = \frac{1800}{20}

S_2 = 90

Lastly:

The side with 7 as its ratio

S_3 = \frac{7}{3 + 10 + 7} *180

S_3 = \frac{7 *180}{20}

S_3 = \frac{1260}{20}

S_3 = 63

Hence, the angles are: 27, 90 and 63

5 0
3 years ago
Can u help me pls <br>I will choose the best one <br>​
boyakko [2]

Answer:

12 and 30

Step-by-step explanation:

I think the best answer is 12 and 30.

I hope it will help u...

4 0
2 years ago
Please help i will mark branliest
mafiozo [28]

Answer:

The answer is d

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the x value when F(x)=12?​
SashulF [63]

Answer:

?

Step-by-step explanation:

need more information in order to answer this.

4 0
2 years ago
Other questions:
  • An equation is given: 16meters−1,000centimeters=?
    11·1 answer
  • - 3x + 2y = -6<br> x + 7y = 2
    10·1 answer
  • Tamara needs to buy motor oil to fill the 3 empty cylindrical barrels at her oil service center. Each barrel is 7 ft deep and ha
    9·1 answer
  • If a is a negative number, then a(1/a) is equal to -1. If a is a negative number and b is a negative number, then product ab is
    10·1 answer
  • Use the substitution method to solve these simultaneous equations.
    9·1 answer
  • At midnight the temperature was -2 degrees C. By noon the following day the temperature was 8 degrees C. Find the temperature ch
    5·1 answer
  • Ella and her children went into a bakery and where they sell cookies for $0.50 each and brownies for $2.25 each. Ella has $15 to
    12·2 answers
  • Ming is painting a picture. He has 2/3 pint of red paint, 2/8 pint of yellow paint and 2/6 pint of green paint. Which list order
    9·1 answer
  • Oliver is building a box kite. The frame of the kite has the dimensions shown. He covered the sides of the kite (but not the top
    12·2 answers
  • Find the radius. Round to the nearest tenth.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!