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
Dmitrij [34]
3 years ago
11

2. You have a set of three similar gift boxes. Each box is a rectangular prism. The large box has 15-cm base edges. The medium b

ox has 10-cm base edges. The small box has 5-cm base edges. How does the volume of each box compare to every other box?
PLEASE HELP!!!!
Mathematics
1 answer:
MAXImum [283]3 years ago
7 0

Answer:

The volume of the medium box is 8 times the volume of the small box

The volume of the large box is 3.375 times the volume of the medium box

The volume of the large box is 27 times the volume of the small box

Step-by-step explanation:

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

In this problem

1) The scale factor of the small box to the medium box  is equal to

\frac{10}{5} =2

The scale factor elevated to the cube is equal to

2^{3}=8

therefore

The volume of the medium box is 8 times the volume of the small box

2) The scale factor of the medium box to the large box  is equal to

\frac{15}{10} =1.5

The scale factor elevated to the cube is equal to

1.5^{3}=3.375

therefore

The volume of the large box is 3.375 times the volume of the medium box

3) The scale factor of the small box to the large box  is equal to

\frac{15}{5} =3

The scale factor elevated to the cube is equal to

3^{3}=27

therefore

The volume of the large box is 27 times the volume of the small box

You might be interested in
What principal will amount to $3000 if invested at 3% interest compounded
MakcuM [25]

Answer: $2227.41

Step-by-step explanation:

A = P(1 + r/n)^nt

4 0
3 years ago
Please help will mark brainliest to anyone who can help read little note before doing B
lbvjy [14]

Answer:

A: b^3. B. X^3

Step-by-step explanation:

When dividing subtract the exponents is the property.

5 0
3 years ago
Read 2 more answers
A square garden has a side length of 11 meters. What is the area of the garden? What is the perimeter?
Talja [164]

Answer:

<em>Area</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>garden</em><em>=</em><em>1</em><em>2</em><em>1</em><em> </em><em>square</em><em> </em><em>meter</em>

<em>perimeter</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>garden</em><em>=</em><em>4</em><em>4</em><em> </em><em>meter</em>

Step-by-step explanation:

Area of a square=side*side

=11*11

=<u>1</u><u>2</u><u>1</u><em><u>s</u></em><em><u>q</u></em><em><u>u</u></em><em><u>a</u></em><em><u>r</u></em><em><u>e</u></em><em><u> </u></em><em><u>meter</u></em>

Perimeter of a square garden=side*4

=11*4

=44 m

6 0
3 years ago
Read 2 more answers
Evaluate 9.5s +8.7t when s= 3 and t = 4
Arturiano [62]
The answer is 63.3

9.5 * 3 + 8.7 * 4 = 63.3
3 0
3 years ago
I'LL GIVE BRAINLIEST ANSWER TO CORRECT ANSWER
inn [45]
15*(x+20)+26*x = 3115
8 0
3 years ago
Other questions:
  • If c – 8 is an odd integer, which of the following could be the value of c?
    12·1 answer
  • What are real numbers? how are real used to solve problems
    7·1 answer
  • The explicit formula for a particular arithmetic
    11·1 answer
  • A quantity h varies directly with w and inversely with p. If h = 2, w = 4, and p = 6. What is the constant of variation?
    14·2 answers
  • What is the measure of
    10·2 answers
  • F(x)=7x-4 what is f(3)
    10·1 answer
  • A robot can complete 7 tasks in 3 4 hour. Each task takes the same amount of time
    13·1 answer
  • Find the slope of the line that passes through (80, 300) and (70, 500).
    9·1 answer
  • Over 5 days, Penelope practices the kazoo for 4 hours. She also plays video games every day. If she spent a total of 13 hours do
    9·1 answer
  • Please show work 2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!