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
3241004551 [841]
3 years ago
6

Herga makes boxes for games that she has invented. She makesa box for one game. Then she makes a box with Dimensions that are 1/

3 the dimensions of the first box. what is the relationship between the surface areas of the boxes ? explain.
Mathematics
2 answers:
Flura [38]3 years ago
8 0
<span>Given that the first box has height h, width w, and length l, the surface area of a rectangular prism is A = 2wl + 2lh + 2hw. Since Herga makes another box with 1/3 the dimensions of the first, we multiply each variable by 1/3 to find the second surface area. So the surface area of the second box is A = 2(w/3)(l/3) + 2(l/3)(h/3) + 2(h/3)(w/3). This results in A = (1/9)(2wl + 2lh + 2hw). We can see that the surface area of the second box is 1/9 the surface area of the first box.</span>
jarptica [38.1K]3 years ago
3 0
Call a, b and c the dimensions of the original box. Then the surface area is 2ab + 2bc + 2ac (because there are two sides of each type ab, bc, and ac.

The second box will have dimensions a/3, b/3 and c/3. So the surface area will be: 2(a/3)(b/3) + 2(b/3)(c/3) + 2(a/3)(c/3) = [1/9] {2ab + 2bc + 2ac}.

As you can see, the surface area of the first box is 9 times the surface area of the second box.

    area of the first box
--------------------------------- = 9
area of the second box


You might be interested in
What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8) ?
aalyn [17]
Y=mx+b where m=slope which is change in y divided by change in x                 m=(-8-7)/(4-9)=-15/-5=3 so we have                                                                 y=3x+b now we can use either point, I'll use (9,7), to solve for b or the y-intercept...                                                                                                         7=3(9)+b                                                                                                           7=27+b                                                                                                         b=-20so our line is:                                                                                              y=3x-20


5 0
3 years ago
Please help practice Questions!<br> will give thanks and star ratings<br> (Question is attached)
Luda [366]
Point c because its the top and they rotated it to it's side
7 0
4 years ago
Read 2 more answers
Which expression can be used to check the answer to 56 divided by (negative 14) = n?
Natalka [10]

For this case we have the following expression:

\frac {56} {- 14} = n

To verify the answer we have:

Multiplying both sides of the equation by -14:

- (14) * \frac {56} {- 14} = n * (- 14)\\56 = n * (- 14)

Thus, the answer can be verified with:

56 = n * (- 14)

Answer:

56 = n * (- 14)

6 0
3 years ago
Read 2 more answers
Find (f*g)(x) for f (x) = 3x^2 and g (x) = 5-x
ludmilkaskok [199]
(F*g) means f ( g(x) ) . Knowing this we can say
F(g(x)) = 3(5-x) ^2
= 3 (5-x)(5-x)
=
6 0
3 years ago
2. Which of the following (-6, 20), (-9, 1) or (14, 2) ) are a solution to the system of equations?: 2x + y = 8 5x + 2y=10
Leya [2.2K]
(-6, 20)

You can get this through elimination by multiplying the first equation by -2 to get the y values to cancel out. 
8 0
3 years ago
Other questions:
  • Find the equation for the circle with a diameter whose endpoints are (-2,4) and (3,4)
    6·1 answer
  • Can Negative numbers turn into Scientific Notation?
    12·1 answer
  • 93, 94, 95, 89, 85, 82, 87, 85, 84, 80, 78, 78, 84, 87, 90.
    8·2 answers
  • Which of the following is the most appropriate unit to describe the rate at which water flows out through standard household fau
    5·1 answer
  • Simplify 2 square root of 5 plus 3 square root of 5 minus square root of5?
    12·1 answer
  • Lori solved this multiplication problem.
    8·2 answers
  • ILL GIVE BRANLIST !!!!
    7·1 answer
  • Find the diagonal of the rectangular solid with the given measures.<br> l= 3, w= 3, h= 2
    10·1 answer
  • Determine the measure of x? Please include the way you got the answer as well please​
    14·1 answer
  • In △ABC, BM is a median, △BMC is equilateral and MC = 3cm. Through M is drawn line l∥AB that intersects CB at point N. Find:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!