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
Vlad1618 [11]
3 years ago
9

Each of the dimensions of a pyramid are doubled. What is true about the volume of the new pyramid?

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

Answer:

The new pyramid has a volume that is 8 times the volume of the original pyramid

Step-by-step explanation:

we know that

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

Let

z ----> the scale factor

V_1 -----> volume of the original pyramid

V_2 -----> volume of the new pyramid

z^{3}=\frac{V_2}{V_1}

In this problem we have that each of the dimensions of the original pyramid are doubled

so

z=2

so

substitute

2^{3}=\frac{V_2}{V_1}

8=\frac{V_2}{V_1}

V_2=8V_1

therefore

The volume of the new pyramid is 8 times the volume of the original pyramid

You might be interested in
A teacher gave a benchmark test to see how well her students were prepared for an
WARRIOR [948]

Answer:

rcfnjcndcndc

Step-by-step explanation:

d

6 0
3 years ago
PLEASE HELP ME!!!!!
NARA [144]

Answer:

c -13

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Find the quotient: 40 ÷ 7
netineya [11]

Answer:

5.71428571429

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please hurry I will mark you brainliest
Slav-nsk [51]

Step-by-step explanation:

Let grandson's age be x.

Let grandpa's age be y {equation : y = 8+5x}

so,

x + y = 88

or, x + 8+ 5x = 88 (substituting the value of y)

or, 6x + 8 =88

or, 6x = 88-8

or, 6x = 80

or, x = 80/6

so, x = 13.33

so grandson's age = 13.33

grandpa's age = 8 + 5x = 8 + (5×13.33) = 74.65 yrs

7 0
3 years ago
The difference of a number x and 9 is fewer then 4
Sav [38]
The equation would be:
x - 9 < 4
Simplify (add 9)
Solution: x < 13
8 0
3 years ago
Other questions:
  • What number has the same value as 14 tens
    11·1 answer
  • An airplane covers 94 miles in 1/6 of an hour.<br> The plane can cover <br> miles in 6 hours
    11·2 answers
  • Which are the solutions of the quadratic equation? x2 = –5x – 3 –5, 0 5, 0
    8·2 answers
  • The volume of Jupiter is approximately 10^14 cubic kilometers. The volume of Earth is approximately 10^11 cubic kilometers. How
    10·1 answer
  • A line passes through the points (4, 19) and (9, 24). Write a linear function in the form y=mx+b for this line
    7·1 answer
  • Math help! HELP ME ASAP!!!!!!!!
    14·2 answers
  • Find the principal amount if its interest in<br>3 months with 5% per annum is Rs 66.​
    14·2 answers
  • Find the total surface area of this cuboid.
    15·1 answer
  • What is the solution to the function f(x)=x^2(x-2)^2 when x=2
    10·1 answer
  • Divide : (8a^2b^4 - 20a^4b^5 + 48a^6b^6) by 4a^2b^4​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!