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
dezoksy [38]
3 years ago
10

If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second

prism?
Mathematics
1 answer:
Yuri [45]3 years ago
3 0
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{s^3}{s^3}=\cfrac{\textit{volume of smaller}}{\textit{volume of larger}}\implies \cfrac{3^3}{5^3}=\cfrac{54}{v}
\\\\\\
v=\cfrac{5^3\cdot 54}{3^3}
You might be interested in
What is the length of a car if the length on the scale model car is 17 cm and the scale is 2 cm : 50 cm?
Zarrin [17]
Answers 425 is you multiply 50 by 8 you’d get 400 then add 25 the number 8 is the amount of times you can use the scale so it would be 16cm them you have one more cm left so you’d just cut the scale in half
3 0
3 years ago
Read 2 more answers
What is the oppiste of 9
julia-pushkina [17]

Answer:

6 probably lol

9=6

6=9

hehehe

3 0
3 years ago
Can anyone pls help me I really need help pls help me I will mark them as brainiest pls!!! Can u do it in a paper and then send
Tom [10]

Answer:

see them bellow

Step-by-step explanation:

6 0
3 years ago
Need help homework almost due
denis-greek [22]

Answer:

i dont know

Step-by-step explanation:

7 0
2 years ago
Match each area to its corresponding radius or diameter of the circle.(All areas are approximate.) )
MA_775_DIABLO [31]

Answer:

<u>Radius: 12 units </u>

  • Area: πr² = 3.14*12² = 452.16 square units

<u>Diameter: 16.8 units</u>

  • Area: πd²/4 = 3.14*16.8²/4 = 221.5584 square units

<u>Radius: 3.4 units</u>

  • Area: πr² = 3.14*3.4² = 452.16 square units  

<u>Diameter: 10 units</u>

  • Area: πd²/4 = 3.14*10²/4 = 78.5 square units
5 0
3 years ago
Read 2 more answers
Other questions:
  • I need help in this one
    8·1 answer
  • The equation of a circle is (X-3)² + (Y+5)²=25
    15·1 answer
  • Simplify 35 ÷ 33. A)   6 B)   5 C)   9 D)   1
    14·1 answer
  • What is the area of a rectangle with vertices at (2, 3), (7, 3), (7, 10), and (2, 10)?
    6·2 answers
  • ASAPPPP<br> - 1/2 + (3/4 x 4/9) =
    7·1 answer
  • Jonathan took a 35 questions test and
    15·2 answers
  • Calculate the slope between the points: (4, -9) and (5, 1)
    14·1 answer
  • 79 to the power of 3 = pi times 25 times h divided by 3
    13·1 answer
  • Scientists use the system of
    14·2 answers
  • Urgent please help :c​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!