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
ozzi
3 years ago
9

The volume of Pyramid A is 704 cm3 and the volume of Pyramid B is 297 cm3. If the pyramids are similar and the surface area of P

yramid B is 153 cm2, what is the the surface area of Pyramid A?
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0

Answer:

272 cm²

Step-by-step explanation:

Step 1

We have to find the scale factor

When given the volume of two solids, the formula for the scale factor is

V1/V2 = (Scale factor)³

The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³

V1 = Pyramid A

V2 = Pyramid B

704/297 = (scale factor)³

We simplify the left hand side to simplest fraction

The greatest common factor of 704 and 297 = 11

704÷11/297÷11 = (scale factor)³

64/27 = (scale factor)³

We cube root both sides

cube root(scale factor)³ = cube root (64/27)

scale factor = (4/3)

Step 2

(Scale factor)² = S1/S2

S1 = Surface area of Pyramid A =?

S2 = Surface area of Pyramid B = 153 cm²

Hence,

(4/3)² = S1/153

16/9 = S1/153

Cross Multiply

S1 × 9 = 16 × 153

S1 = 16 × 153/9

S1 = 272 cm²

Therefore, the Surface Area of Pyramid A = 272 cm²

You might be interested in
Find the surface area and please explain​
dlinn [17]

Answer:

I NEED MORE DETAILS

Step-by-step explanation:

ITS ALSO BLURRY

8 0
3 years ago
If you invest $823 at an interest rate of 3 percent,how much money will you have in total afer nine years?​
valentinak56 [21]

Answer:

$1,045.21

Step-by-step explanation:

7 0
3 years ago
3 friends' meals at a resuraunt cost $13 $14 and $11. Use perentheses to write two diffrent expressions to show how much they sp
klemol [59]

Answer:

38

Step-by-step explanation:

(11+13)+14

11+13=24

24+14=38

8 0
3 years ago
For the linear model, y = -67.9x + 679 , the distance, in miles y, is a function of time, x, in hours. Use the model to calculat
Ksenya-84 [330]

Answer:

339.5

Step-by-step explanation:

-67.9x+679= y

-67.9*5+679=

-339.5+679= 339.5

4 0
2 years ago
Plzzz help i really need help and WILL GIVE BRAINLIST IF U put them in order
Vaselesa [24]

​x, -x,-4, |-1.5|, |5|, |-6|

4 0
2 years ago
Other questions:
  • What is the solution to the following equation? 4x-1= 2x +5
    8·2 answers
  • A town in east Texas received 25 inches of rain in two weeks. If it kept raining at this rate for a 31−day month, how much rain
    8·2 answers
  • what is the volume, in cubic inches, of a rectangular prism with a height of 5 inches, a width of 15 inches, and a length of 2 i
    11·1 answer
  • Hurry 30 min left 15 points for correct answer
    11·2 answers
  • Factor the polynomial by factoring out the GCF. <br><br>6y^3 − 9y^2
    7·1 answer
  • Given tw circles, circle A with a radius of 3 in. and circle B with a radius of 12 in.
    15·1 answer
  • Two equivalent expressions for 7x.
    11·2 answers
  • Which is the factorization of 8x2 + 13x – 6
    10·2 answers
  • Rewrite 1/3 book - 5/6 hour as a unit rate.
    5·1 answer
  • in three plays of a football game, there is a gain of 4 yards, a loss of 9 yards, and a gain of 15 yards. What number can you us
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!