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
Vera_Pavlovna [14]
3 years ago
11

Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2

400ft3.
Mathematics
2 answers:
coldgirl [10]3 years ago
8 0

Answer: 37.5

Step-by-step explanation:

We are asked to find the volume of the smaller prism, and we know that the larger prism has a volume of 2400 cubic feet. We also know that the scale factor of the two prisms is 1:4. You may be tempted to set 1/4 equal to x/2400, but that is not what you should do. Remember that the volume ratio is a^{3} / b^{3}, if the similarity ratio is a/b. Now, with this in mind, we know that the cube root of 2400 is 13.388659. Now, we can set 1/4 equal to x/13.388659. Solve for x by cross multiplying. 13.388659=4x. Divide both sides by 4. x=3.34716475. Then, we need to find the volume of the smaller prism, so we find the third power of x, or 3.34716475, which is approximately 37.5, which is your solution.

anzhelika [568]3 years ago
7 0

Answer:

600 ft³

Step-by-step explanation:

Given the scale factor 1:4, we know that the smaller prism will be 4 times smaller than the larger prism.

We can calculate the volume of the smaller prism by dividing 2,400 by 4.

2,400/4 = 600

You might be interested in
Evaluate 23x-1 for x = 1. 1 4 7 8
lianna [129]

replace the value of x int eh equation

 so 23x-1 becomes

23(1.1478)-1

23*1.1478 = 26.3994-1 = 25.3994

5 0
3 years ago
Read 2 more answers
Formula for calculating percentage?​
IRISSAK [1]

Answer:

(Frequency of the value being measured divided by the total frequency) times by 100

8 0
2 years ago
Read 2 more answers
If a number is increased by 20% then the number is 24 find the number
trasher [3.6K]

Answer:

20

Step-by-step explanation:

  • x+20%=24
  • x+x*20/100=24
  • x+0.2x=24
  • 1.2x=24
  • x=24/1.2
  • x=20
4 0
3 years ago
PLEASE ANSWER THIS ASAP !!!!!
cupoosta [38]

Answer:

f(2) = -5

Step-by-step explanation:

For this problem, we are evaluating the graph of f(x), meaning at the value of x, we want the y-value.

Note, when x = 2 on the graph, the only y coordinate available is y = -5.

Hence, when we evaluate f(x) for x = 2, we get y = -5.  f(2) = -5.

Cheers.

7 0
3 years ago
Please help! <br> , the expression z ^-44 can be simplified to​ _______
Elis [28]

Answer:

1/ (z²)²

Step-by-step explanation:

z⁻⁴= 1/z⁴  (laws of exponents ) when a term with positive exponent is written in reciprocal the sign of its exponent changes

= 1/ (z²)²  Further breaking the 4th power

8 0
3 years ago
Other questions:
  • The corner candy store had 6 boxes with 30 packages of gum in each in 3 days they had 46 packages left write an equation that th
    10·1 answer
  • Please help, will give brainlist.<br><br> 1. Solve the equation. Show all of your work.
    5·2 answers
  • A square has sides of length x. If the sides are all tripled in length, the area of the square is multiplied by
    12·1 answer
  • Job A pays $32,448 per year. How much would Job A pay per hour based on a 52 weeks working 40 hours per week?
    6·1 answer
  • Mrs. Jameson asked all of her 110 students to list their birthdate and time on a sheet of paper and place it into a jar. One nam
    14·2 answers
  • NEED ANSWERS NOW!!!
    10·1 answer
  • 3 of the digits 0-9 are chosen randomly by a computer what is the probability that it will choose 3 sequential digits?
    5·1 answer
  • A biology test is worth 100 points and has 36 questions.
    11·1 answer
  • Giulio holds a bag of 70 marbles in his hands. Jim blindfolds Giulio and keeps adding marbles to Giulio's bag, one at a time. Ho
    9·1 answer
  • Two points A and B whose heights differ by 10 metres are shown 1.2 cm apart horizontally on a map whose scale is 1: 10 000. a) W
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!