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
ira [324]
3 years ago
15

The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Det

ermine each of the following, showing all your work and reasoning.
Scale factor of the smaller pyramid to the larger pyramid in simplest form

Ratio of the areas of the bases of the smaller pyramid to the larger pyramid

Ratio of the volume of the smaller pyramid to the larger

Volume of the smaller pyramid
Mathematics
1 answer:
tatiyna3 years ago
7 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} \\\\
-----------------------------\\\\
\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}}\\\\
-------------------------------\\\\


\bf \cfrac{smaller}{larger}\qquad \cfrac{\stackrel{height}{6}}{\stackrel{height}{12}}\implies \cfrac{1}{2}\impliedby \textit{scale factor of the pyramids}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt{base}}{\sqrt{base}}\implies \cfrac{1}{2}=\sqrt{\cfrac{base}{base}}\implies \left( \cfrac{1}{2} \right)^2=\cfrac{base}{base}
\\\\\\
\cfrac{1^2}{2^2}=\cfrac{base}{base}\implies \cfrac{1}{4}=\cfrac{base}{base}\\\\
-------------------------------\\\\

\bf \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt[3]{volume}}{\sqrt[3]{volume}}\implies \cfrac{1}{2}=\sqrt[3]{\cfrac{volume}{volume}}
\\\\\\
\left( \cfrac{1}{2} \right)^3=\cfrac{volume}{volume}
\implies 
\cfrac{1^3}{2^3}=\cfrac{volume}{volume}\implies \cfrac{1}{8}=\cfrac{volume}{volume}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{1}{8}=\cfrac{\stackrel{volume}{v}}{\stackrel{volume}{400}}\implies \cfrac{1\cdot 400}{8}=v
You might be interested in
A bottle of root beer contains 4/5 L. How much root beer is in 3 bottles?
shusha [124]
3\cdot\frac{4}{5}=2.4 \hbox{ l}
5 0
3 years ago
(GIVING BRAINLIEST!!)
Montano1993 [528]

Answer:

6450

Step-by-step explanation:

1kg = 1000g

6.45 x 1000 = 6450

3 0
3 years ago
Solve for "c."<br> a = b/(c-d)
8_murik_8 [283]

Answer:

c=

ad+b

a

give me brilliant please

Step-by-step explanation:

a=

b

c−d

Step 1: Multiply both sides by c-d.

ac−ad=b

Step 2: Add ad to both sides.

ac−ad+ad=b+ad

ac=ad+b

Step 3: Divide both sides by a.

ac

a

=

ad+b

a

c=

ad+b

a

6 0
2 years ago
What is the radical expression that is equivalent to the expression <br> (35) 1/4
LenKa [72]
Fourth root of 35. You take the denominator and make that the number above the root of sign and the numerator is how many times it is multiplied
5 0
3 years ago
Read 2 more answers
In the Isoceles triangle, the legs
aalyn [17]

Check the picture below.

since we know that x = 3/7, we can then plug that on either of the twin legs, since it's an isosceles, and get the length of each leg, so say let's plug it in 5x + 16

5x + 16\implies 5\left( \cfrac{3}{7} \right)+16\implies \cfrac{38}{7}+16\implies \cfrac{38+112}{7}\implies \cfrac{150}{7}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\\stackrel{\textit{both legs}}{\cfrac{150}{7}+\cfrac{150}{7}}+\stackrel{\textit{base}}{6}\implies \cfrac{150+150+42}{7}\implies \cfrac{342}{7}\implies 48\frac{6}{7}\impliedby \textit{perimeter}

3 0
3 years ago
Other questions:
  • I want the answer please!
    14·2 answers
  • Can someone​ please help me I really need it
    9·2 answers
  • Subtract 2/7 - 1/3 write your answer with simplest form
    15·1 answer
  • 510 visitors in 30 hours or 960 visitors in 60 hours, which is greater​
    6·2 answers
  • Can you help me whith number two?
    5·2 answers
  • Find the values of x and
    5·1 answer
  • Write two different congruent statements that indicate the triangles in each pair are congruent( Odd number questions only)
    13·1 answer
  • Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree wit
    12·1 answer
  • SOLVE THIS PLEASE, ITS GOT SOMETHING TO DO WITH SOH, CAH, TOA
    6·1 answer
  • MARKING BRAINLIEST!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!