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
KATRIN_1 [288]
2 years ago
15

The volumes of two similar solids are 125 cm3 and 1,000 cm3. The surface area of the smaller solid is 150 cm2. What is the surfa

ce area of the larger solid?
Mathematics
2 answers:
kiruha [24]2 years ago
5 0

Answer:

The surface area of the larger solid is 600 cm².

Step-by-step explanation:

Since, when two solids are similar then the ratio of their corresponding measurement is the cube root of the ratio of their volumes,

Here, the volumes of two similar solids are 125 cm³ and 1,000 cm³,

Thus, the ratio in their corresponding measures = \sqrt[3]{\frac{125}{1000}}

=\frac{\sqrt[3]{125}}{\sqrt[3]{1000}}

=\frac{5}{10}

=\frac{1}{2}

Also, the ratio of the surface areas of the similar solids is the square of the ratio of their corresponding measurement.

Thus, the ratio in their surface area = (\frac{1}{2})^2=\frac{1}{4}

Given, the surface area of the smaller solid is 150 cm²,

Let A be the surface area of the larger solid,

\implies \frac{150}{A}=\frac{1}{4}

\implies A = 600

Hence, the surface area of the larger solid is 600 cm².

slamgirl [31]2 years ago
4 0
The answer is 600cm^2
You might be interested in
3 less than c in numbers
Ira Lisetskai [31]

Answer:

Step-by-step explanation:

3<3

7 0
2 years ago
A car travels 1 092 km in 21 days what is the average distance show how you got your answer
spin [16.1K]
Maybe try dividing 1092 by 21 I got 52
7 0
3 years ago
A number between 49 and 95 that is a multiple of 4,5, and 10?
jek_recluse [69]

Answer: 60 and 80

Step-by-step explanation: Start off with the highest number, which is 10. The numbers between 49 and 95 that can be divided by 10 are 50, 60, 70, 80, and 90. Next, figure out what can be divided by 5. All of them can. Next, find out what numbers can be divided by 4. 50, 70, and 90 can’t because they would end up as a decimals. 60 and 80 can be divided by 4, 5, and 10.

5 0
3 years ago
Suppose that F(x)=x3 and G(x)=-5x3+2 which statement best compares the graph of g(x) with the graph of F(x)
eimsori [14]

Answer:

The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up

Step-by-step explanation:

I like math.

5 0
2 years ago
My brother needs help with his math homework and I don't understand this?need help.
bonufazy [111]
Dang elementary school homework is hard
4 0
3 years ago
Other questions:
  • a total of 17,100 seats are available for the next hockey game. If 62% of the tickets have been sold how many seats are in the a
    14·1 answer
  • Which number is irrational?<br><br>a.) √25<br><br>b.) √32<br><br>c.) √49<br><br>d.) √64
    7·2 answers
  • It costs $120 to have a party for 9 people at the skating rink. The cost includes a charge of ,$10 for each person attending the
    9·1 answer
  • Jonna is 4 years older than her brother. Which of the following expressions shows the sum of their ages if b represents Jonna's
    8·1 answer
  • Can anyone give me formula to solve these problems?
    9·1 answer
  • What is the area of the rhombus shown below?
    13·1 answer
  • the science club sold homemade cupcakes to raise money for a hiking trip they sold the cupcakes for 75 cents each they spent $38
    13·1 answer
  • I Need some help with this answer :)))))
    14·1 answer
  • Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3.
    15·1 answer
  • If Bill was traveling v mi/h, how would you represent Daemon's speed in mi/h if he was traveling 45 mi/h faster?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!