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
fredd [130]
3 years ago
11

Consider this square pyramid. Recall the volume can be found using the formula V = 1/3Bh.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

Answer:

Option A.) 16 m³. The volume of the new pyramid is the volume of the original pyramid times 1/64.

Step-by-step explanation:

step 1

Find the volume of the original pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base

h is the height of the pyramid

we have

B=16^{2}=256\ m^{2} ----> is the area of a square

h=12\ m

substitute

V=\frac{1}{3}(256)(12)

V=1,024\ m^{3}

step 2

Find the volume of the new pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z -------> the scale factor

x ------> the volume of the new pyramid

y -----> the volume of the original pyramid

z^{3}=\frac{x}{y}

we have

z=\frac{1}{4}

y=1,024\ m^{3}

substitute and solve for x

(\frac{1}{4})^{3}=\frac{x}{1,024}

x=(1,024)\frac{1}{64}=16\ m^{3}

therefore

The volume of the new pyramid is the volume of the original pyramid times 1/64

You might be interested in
Question 22 of 25
mote1985 [20]

Answer

B

Step-by-step explanation:

Is the answer !

5 0
3 years ago
Read 2 more answers
PLEASE HELP, PICTURE ATTACHED! ANSWER CHOICE!
Alina [70]

The answer is D. 13 Inches, this is 6th grade math I believe?

6 0
3 years ago
Read 2 more answers
1/4 DIVIDED BY 1/2 = ? <br> CHECK BY MULTIPLYING
Llana [10]

Answer:

1/2

Step-by-step explanation:

1/4÷1/2

1/4*2/1

2/4

1/2

Points to remember:if u change dividion sign into multiplication sign do it's reciprocal.

8 0
2 years ago
Read 2 more answers
2=5-5x (your answer must include the variable)
damaskus [11]

Answer: x=3/5

Step-by-step explanation:

4 0
2 years ago
Which expression is equivalent to x^2 • x^3?<br><br> A. x^5<br> B. x^-1<br> C. x^6<br> D. 6 × X
ch4aika [34]
x^5 is your answer because you add exponents when they are not in separate paretheses.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Zacharias is using the quadratic formula to solve the equation 0 = –2x2 5x – 3. he begins by substituting as shown.quadratic for
    10·2 answers
  • HELLLLLLP
    5·1 answer
  • What is the measure of ∠T, rounded to the nearest degree?
    5·2 answers
  • Is the point (20,13) on this line? Explain your reasoning​
    8·2 answers
  • Help!!!
    6·2 answers
  • Which statement is true regarding the graphed functions?
    13·1 answer
  • Predict how many times you will roll a number less than 5 if you roll a standard number cube 200 times. Round to the nearest int
    5·1 answer
  • Mary spent a total of $55 at the grocery store. Of this amount, she spent $33 on fruit. What percentage of the total did she spe
    9·1 answer
  • Given the recursive formula shown, what are the first 4 terms of the sequence?
    14·1 answer
  • Please help!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!