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
Ray Of Light [21]
3 years ago
11

The surface area of a rectangular prism is 10.4 in2. What is the surface area of a similar prism that is larger by a scale facto

r of 3?
Mathematics
1 answer:
gavmur [86]3 years ago
7 0
The surface areas of similar solids is proportional to the square of their sides 
<span>since the ratio of sides is 1 : 3 </span>
<span>their surface areas have the ratio 1</span>²<span>: 3</span>²<span> or 1:9 </span>
<span>so the surface area is 9(10.4) or 93.6 </span>

<span>or </span>

<span>original width = x </span>
<span>original length = y </span>
<span>original heigt = z </span>
<span>original surface area = 2(xy) + 2(xz) + 2(yz) </span>
<span>= 2(xy + xz + yz) </span>

<span>new width = 3x </span>
<span>new length = 3y </span>
<span>new height = 3z </span>
<span>new surface area = 2(9xy) + 2(9xz) + 2(9yz) </span>
<span>= 18(xy + xz + yz) </span>

<span>ratio of new to old = 18(xy + xz + yz) : 2(xy + xz + yz) </span>
<span>= 9:1</span>
You might be interested in
The units for surface areas will always be 1.quadrupled 2.quartered 3.squared 4.halved
Sidana [21]

Answer:

the answer is c, squared

Step-by-step explanation:

8 0
3 years ago
Ann earns £700 per month she gets a pay rise of 3.8 find her wage per year
Tresset [83]
8719.2 is the answer ! Well sorry for not writing the method and stuff.
6 0
3 years ago
Write an equation of the line that passes through (0,4) and (1,2).
cupoosta [38]

Answer:

Step-by-step explanation:

Let's assume this is a straight line, so we can use the basic form of a straight line equation: y=mx+b, where m is the slope and b is the y-intercept (the value of y when x is zero).

The slope is the rate of change of the line, and can be calculated by dividing the change in y by the change in x between any two points. Here: (0,4) and (1,2)

The change in y is known as the "Rise." Going from (0,4) to (1,2), we have a change of -2:

(2 - 4) = -2 This is the Rise (Final minus the initial values)

X changes by 1 (1-0) = 1 (Final minus the initial values)

Rise/Run = -2/1 or -2

The slope, m, is -2. Values of y decrease as x increases.

The equation becomes y = -2x+b

The value of b must be such it forces the line to go between the two points. We can calculate b by i=using one of the two points in out unfinished equation and solve for b. I'll pick (1,2).

y = -2x+b

2 = -2*(1) + b

b = 4

The equation becomes y=-2x+4

6 0
3 years ago
Jonny has five Apples he gives four to Sarah how many apples do he have left ?
Korolek [52]

Answer:

He has one.

Step-by-step explanation:

He has five, and gives sarah four. That means that you take all but one away from 5. 5-4=1.

6 0
4 years ago
I forgot to add the pic to my last question. Thank you.
docker41 [41]
V= 7x12×?
V=84x?
252÷84=3
4 0
4 years ago
Other questions:
  • If it is geometric sequence, choose the common ratio 21,42,126,504
    8·1 answer
  • According to the Journal of the American Medical Association (JAMA), hospitals that routinely staff with 1:8 nurse-to-patient ra
    6·1 answer
  • Wright a multiplication problem in witch the product is between 0.05 and 0.75
    12·1 answer
  • Which set of numbers could represent the lengths of the sides of a triangle?
    7·1 answer
  • A bedroom set that normally sells for $1360 is on sale for 5% off. If sales tax rate is 8%, what is the total price of the bedro
    8·1 answer
  • Ms. Larkin is organizing an optional field trip for eighth graders and staff to see a play at
    5·1 answer
  • I need help with number 5, and 6. <br><br> Please and thank you.
    5·1 answer
  • PLZ HELP! 50 PTS PER PERSON
    9·1 answer
  • Which is the equation of an ellipse with directrices at y = ±2 and foci at (0, 1) and (0, −1)?
    11·1 answer
  • Redo Question 29 0/3 point Refer to rectangle LMNP shown below to answer the following questions: (a) What are the coordinates o
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!