answer.
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
Lesechka [4]
2 years ago
11

Mr.Williams' class built this platform for a school event. They also built a model of the platform in which 1 foot was represent

ed by 2 inches. What is the volume of the platform? What is the volume of the model?
Mathematics
1 answer:
OleMash [197]2 years ago
6 0

For every 1ft in the original, the model used 2in

1ft:2in

There are 12inches in a foot, so we could also write the ratio as

12in:2in

12/2=6 So the model is 6X smaller than the original

The length of the original was 9ft

L=9ft

The width of the original was 4ft

W=4ft

The height of the original is 6ft

H=6ft

The volume of the original is:
V=L*W*H
V=9*6*4=216ft³ 



Now lets find the dimensions of the model...

If the length of the original was 9 feet we just divide that number by 6 to find the length of the model.

9/6= 1 1/3 ft

The length of the model is 1 1/3ft or 16in

If the width of the original was 4 feet we just divide that number by 6 to find the width of the model.

4/6= 2/3 ft

The width of the model is 2/3ft or 8in

If the height of the original was 6 feet we just divide that number by 6 to find the height of the model.

6/6=1ft

The height of the model is 1ft or 12 inches

The volume of the model is...

V=l*w*h=16in*8in*12in=1536in³


***Edit*** The answer is now completed

You might be interested in
If a debt of $480 is reduced by 20% find the new debt
Marina86 [1]
10% = 480$ / 10
= 48$
20% = 48$ * 2
= 96$

480$ - 96$ = 384$
3 0
2 years ago
A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liter of pineapple juice into the ja
Advocard [28]
Part A:  [<span>P + (A + G) - M

</span>Part B:  [0.75 + (0.25 + 0.30) - 0.20] = 1.1
8 0
2 years ago
You jog 6/23 miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?
LenaWriter [7]
Well, since you jogged 6/23 mi. a day, for 4 days, it'll be (6/23)×4. This is 24/23 which is one mile and 1/24 of one.
6 0
2 years ago
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa
sergeinik [125]
X - the number of sandwiches ordered
y - the number of soups ordered

There were 18 people, and each person ordered either one soup or one sandwich.
x+y=18

The sandwiches cost $7.75 each, the soups cost $4.50 each. The total cost was $113.50.
7.75x+4.5y=113.5

Set up a system of equations:
x+y=18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-4.5) \\&#10;7.75x+4.5y=113.5 \\ \\&#10;-4.5x-4.5y=-81 \\&#10;\underline{7.75x+4.5y=113.5} \\&#10;3.25x=32.5 \\&#10;x=\frac{32.5}{3.25} \\&#10;x=10

10 sandwiches were ordered.
The answer is D.
4 0
2 years ago
Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.
melomori [17]
V=basearea times 1/3 times height
basearea=6<span>4π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

C
</span>
4 0
2 years ago
Other questions:
  • Magellan has decided to make party baskets for the fundraiser. Balloons are sold in bags of 20, party horns are sold in bags of
    9·2 answers
  • Regina takes yoga classes 2 days a week at the community center.The cost for the classes is $72,and Regina pays an additional on
    9·2 answers
  • A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with st
    7·2 answers
  • Instructions:Type the correct answer in the box. Use numerals instead of words. Mason conducted a survey of his class to determi
    12·2 answers
  • Patricia has 3.75 pounds of hamburger. She is making hamburgers with 0.25 pound of hamburger each. How many hamburgers can she m
    12·1 answer
  • ? QUESTION
    13·1 answer
  • "We might think that a ball that is dropped from a height of 15 feet and rebounds to a height 7/8 of its previous height at each
    11·1 answer
  • A number is chosen at random from the set of consecutive natural numbers $\{1, 2, 3, \ldots, 24\}$. What is the probability that
    9·1 answer
  • Construct a line through R that is perpendicular to the line​
    5·1 answer
  • A restaurant owner plans to use x tables seating 4, y tables seating 6, and z tables seating 8, for a total of 20 tables. When f
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!