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
navik [9.2K]
3 years ago
5

What is the scale factor of two similar pyramids with volume of 13824 cubic feel and 216 cubic feet?

Mathematics
1 answer:
velikii [3]3 years ago
3 0

Answer: The scale factor is 4

Step-by-step explanation:

We know that the pyramids are similar. The volume of one of these pyramids is  13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:

V_1=13,824ft^3\\V_2=216ft^3

By Similar solids theorem, if two similar solids have a scale factor of \frac{a}{b}, then corresponding volumes have a ratio of \frac{a^3}{b^3}

Then:

\frac{V_1}{V_2}=\frac{a^3}{b^3}

Knowing this, we can find the scale factor. This is:

\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4

You might be interested in
I NEED HELP WITH THEM ALL PLEASE
PilotLPTM [1.2K]

Answer:

17. 11/20

18. 75cm^2

19. 45

20. a. 93 b. 93 c. 90,94

Step-by-step explanation:

I suggest putting more points for it next time that's 4 questions and saying please makes you sound desperate.

Hope this helped! Have a nice day!

8 0
3 years ago
Name the following segment or point.
Mamont248 [21]

Answer:

P

Step-by-step explanation:

It's where the altitudes meet

5 0
3 years ago
The oblique pyramid has a square base. What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3
Olenka [21]

Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -

An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -

\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3

<u><em>And thus, you're solution is 5 cm^3, or in other words option b!</em></u>

3 0
2 years ago
The first quartile of a data set is 23, the median is 30,the third quartile is 33, and an outlier is 50. Which of these data val
Len [333]

Answer:50


Step-by-step explanation:


6 0
2 years ago
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and
defon

The expression that can be used to approximate the expression below islog_a x = \frac{log_{b}a}{log_{b}x}

  • Given the logarithmic function expressed as log_a x, we need the log expression that is equivalent to the given expression.

  • To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;

log_a x = \frac{log_{10}a}{log_{10}x}

This is similar to the option c where the base of "b" was used as log_a x = \frac{log_{b}a}{log_{b}x}

Learn more on law of logarithms here: brainly.com/question/11587706

3 0
2 years ago
Other questions:
  • What is the common multiple of 6 and 15?
    14·1 answer
  • Jacob mixes the letters J K L J K M N and P thoroughly.Without looking, Terry draws one letter. Expressed as a fraction, decimal
    15·1 answer
  • I need to solve for n.​
    6·2 answers
  • If you answered 65 questions correct on a 75 question test, what is your score?
    14·1 answer
  • The freight is traveling at a constant speed the table below shows how far the train travels after different amounts of time com
    13·1 answer
  • 41 points + brainliest​
    6·1 answer
  • Before simplifying, there are 4 terms in the expression. <br> is this true or false?
    13·1 answer
  • HELP ME PLEASE! 30 points
    5·2 answers
  • 3. How
    5·1 answer
  • Please help me asap!! ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!