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
Leno4ka [110]
1 year ago
6

What is the ratio of these volumes if the dimensions were length = 4, width = 3, and height = 2? Fill out the table below.

Mathematics
1 answer:
tatyana61 [14]1 year ago
5 0

Explanation:

Linear escale factor 1.

In this case the original volume of the parallelepiped is:

Volume=4*2*3=24\text{ u}^3

24 cubic units and the new volume must be:

NewVolume=\left(4*1\right)\left(2*1\right)\left(3*1\right)=24u^3

So in this case the ratio of volumes is 1:1

Linear escale factor 2.

In this case the original volume of the parallelepiped is the same: 24 cubic units.

The new voume must be:

NewVolume=\left(4*2\right)\left(2*2\right)\left(3*2\right)=8*4*6=192u^3

So in this case the ratio of volumes is 24:192, that is 1:8

Linear escale factor 3.

In this case the original volume of the parallelepiped is the same: 24 cubic units.

The new voume must be:

NewVolume=(4\times3)(2\times3)(3\times3)=12*6*9=648u^3

So in this case the ratio of volumes is 24:648, that is 1:27

Linear escale factor 4.

In this case the original volume of the parallelepiped is the same: 24 cubic units.

The new voume must be:

NewVolume=(4\times4)(2\times4)(3\times4)=16\times8\times12=1536u^3

So in this case the ratio of volumes is 24:1536, that is 1:64

Linear escale factor r.

In this case the original volume of the parallelepiped is the same: 24 cubic units.

The new voume must be:

NewVolume=(4*r)(2*r)(3*r)=4r\times2r\times3r=24r^3\text{ }u^3

So in this case the ratio of volumes is 24:24r^3, that is:

1:r^3

You might be interested in
Which number is rational
Volgvan

Answer:

number 8 is a rational number because it can be written as the fraction 8/1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A square has a side length of 12 cm. Which of the following is closest to the length of its diagonal? A) 9 cm B) 12 cm C) 12v 2
kondaur [170]
C) 12V2
12^2 + 12^2 = c^2
144 + 144 = 288
V288 = 12V2
6 0
2 years ago
The Theater Club will rent space for rehearsals before their performance. If the space costs $65 per hour. How much will it cost
kifflom [539]
It will cost $780 for that amount too time
8 0
2 years ago
Read 2 more answers
The length of the diameter, d, of the circle 8cm. Find the radius, r, of the circle
joja [24]
Radius I think is 4
Because 8/2=4 and the diameter is 2 times the radius
Check work:
4*2=8

Have a awesome night/day
4 0
3 years ago
Angela works 1 1/2 hours a day and is paid $7 per hour. She works 5 days a week. How much does Angela earn in 7 weeks?
Nezavi [6.7K]
1.5 x 7= $10.50
per day- $10.50
per week- $52.50
52.50 X 7= $367.50

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression is equivalent to 18 - 7?
    10·1 answer
  • 2sin^2 2x=2<br><br> In the domain [0,2pi)<br><br> What can x equal ( in radians).
    6·1 answer
  • Find the area of the triangle with a = 3 feet, b = 4 feet, and c = 6 feet. Round to the nearest tenth.
    14·1 answer
  • A middle school campus is shaped like a rectangle with a width of 1/4 mile and a length of 1/2 mile. A map of the campus has a w
    8·1 answer
  • 8- 5 (a + b) + 3 (a - 2b)
    11·1 answer
  • PLEASE HELP ME ON THIS ONE I REALLY DONT KNOW HOW TO DO THIS AND I JUST CAME TO AMERICA SO I DONT KNOW HOW TO DO THESE THINGS CO
    9·1 answer
  • melania walked her dog 2 1 /5 miles. cqthy walked her dog 1 3/4 times as far as melania did. how many more miles did cathy walk
    8·1 answer
  • A museum recorded that it had 988 visitors in 4 hours .What is the unit rate in visitors per hour?
    8·2 answers
  • Six times a number increased by 4 is no less than 50. Which inequality represents this statement?
    7·2 answers
  • Asap I need a answer please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!