Gina has one-third scale model of a three-dimensional solid, meaning that all lengths
of the model are 1/3 of the corresponding lengths in the full-size solid. If the volume of
Gina’s model is 20 cubic inches, what is the volume of the full-sized solid?

Answers

Answer 1

Answer:

volume is 540 inches^3

Step-by-step explanation:

The computation of the volume of the full sized solid is given below:

The length would be

[tex]\frac{a}{3}, \frac{b}{3}, \frac{c}{3}[/tex]

And, the volume is

[tex]\frac{a}{3} \times \frac{b}{3} \times \frac{c}{3}[/tex]

As the volume is given 20 cubic inches

So,

[tex]\frac{abc}{27} = 20\\\\abc = 540 inches^3[/tex]

hence, volume is 540 inches^3


Related Questions

Can somebody help me?

Answers

It is an open circle on 2 and then pointing to the left

Simplify completely and find the restrictions on the variable.​

Answers

Answer:

[tex]\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Algebra II

DiscontinuitiesDomain Restrictions

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                           [tex]\displaystyle \frac{(x - 12)(x + 2)}{x^2 - 3x - 108}[/tex][Fraction] Factor denominator:                                                                       [tex]\displaystyle \frac{(x - 12)(x + 2)}{(x - 12)(x + 9)}[/tex][Fraction] Divide:                                                                                              [tex]\displaystyle \frac{x + 2}{x + 9}[/tex]

We know that x cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that x cannot equal 12 because it was canceled out when simplifying.

write 7% as a Vulgar fraction​

Answers

Answer:

7/100

Step-by-step explanation:

This is literally what the percent sign means: "per hundred".

what is 18,693.51 as 2dp

Answers

Answer:

What are u even talking about

Step-by-step explanation:

What is the measure of XYZ?

Answers

Answer:

The measure of Angle XYZ = 34

Step-by-step explanation:

Plzzzzzzzzzzzzz helpppppp

Answers

Answer:

7.25

Step-by-step explanation:

is your answer number 4

Answer: D. The scale factors is 7.25.

Explanation: 5.8 + 1.25= 7.25

1. Estimate the product of 19.8 and 5 by rounding each factor to the nearest whole number
A. 50
B. 100
C. 95
D. 99​

Answers

Answer:

the answer is 100

Step-by-step explanation:

as it is told to round the factors to nearest whole no. 19.8 will be 20 and 5 will remain same... 20*5 is 100

Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object.​

Answers

Answer:

B) 2 in x 5 in

Step-by-step explanation:

6 x 15   (divide each by 3)

2 x 5

Answer: its B

Step-by-step explanation:

can someone help :(!

Answers

Answer:

A

Step-by-step explanation:

You should know the area of a circle, A = πr².

So, all you need to find is the area of half a circle, or A = [tex]\frac{1}{2}[/tex] πr²

We see that the radius is half of the diameter or r = 6 in.

A = [tex]\frac{1}{2}[/tex] (3.14)(6)²

A = 56.52 in²

The awnser for this should be a

88 = h + 36 I need help

Answers

Answer:

h=52

Step-by-step explanation: You subtract 36 from both sides and it cancels on the right but on the left you do regular subtraction and you get that h equals 52

Answer:

h = 52

Step-by-step explanation:

h + 36 = 88

subtract 36 from both sides

h = 52

Two experiments are conducted in which a single 6-sided die is rolled 20 and 80 times. The outcomes of the experiments are shown below. For each result calculate the experimental probability of rolling a ""2."" Express your answer as a reduced fraction and a decimal rounded to three decimal places.

Answers

Answer:

Step-by-step explanation:

i will answer it if you give me the choices

Select the equation that has m = 34.87 as a solution.
A
m x 21 = 731.27
B
9m
323.83
m + 14 =
488.18
68 + m = 102.87

Answers

Answer:

look up

Step-by-step explanation:

what are the souloutions to 2x^2 +7x=4

Answers

The 2 answers are
1/2 and -4

Answer: x=2, x=-1

Step-by-step explanation:

First you have to make it so that everything is on the same side so 2x^2+7x-4

Then you do cross multiply 2x=4 and x=0. I don't know really how to explain it but the answer is x=2 x=-1

Please help asap for 20 points and brainliest

Answers

Answer:

D-16

Step-by-step explanation:

Answer:

D. 16

Step-by-step explanation:

On one shelf, she can put 4 baskets.

So, on 4 shelves, she can put (4 x 4) 16 baskets.

Hope this helps :)

Water is shot straight up out of a water soaker toy.
The quadratic function y = –16x2 + 32x models the
height in feet of a water droplet after x seconds. How
long is the water droplet in the air?

Help!

Answers

Answer:

The water droplet is in the air for two seconds.

Step-by-step explanation:

You can solve this by finding the times at which its height is zero.  The lesser of the two values will be upon launch, and the greater upon landing:

y = -16x² + 32x

Let y = 0

-16x² + 32x = 0

factor -16 out:

x² - 2x = 0

complete the square:

x² - 2x + 1 = 1

and solve for x

(x - 1)² = 1

x - 1 = ±1

x = 1 ± 1

x = 0, 2

So the water is at a height of zero at zero seconds and two seconds.  It's thus in the air for two seconds.

What is 220086*567890

Answers

Answer:

124984638540

Step-by-step explanation:

just use a calculator

Please answer soon!!!

Answers

C hope it helps you

The sum of two numbers is 10. Their difference is 2. What are the numbers?

Answers

Answer:

6 and 4

Step-by-step explanation:

6+4 = 10

6-2 = 4

Please i neeed helpp as fast as i needdddd i only got 20 mincyes

Answers

Answer:

Suppose that you have a random point (x, y), and now you do a dilation from the origin with a scale factor of k.

Then the new coordinates of the point are:

(k*x, k*y)

Now, in this question, we have a dilation of scale factor k = 1/2.

Then if we start with the point (x, y), after the dilation we will have the point (x/2, y/2)

Now you can notice that instead of this, in the table we have (2*x, 2*y)

So this is the error, the transformation is not correctly calculated.

Expand and simplify the following:
6x - 3(2x-1)

Answers

Answer:

3

Step-by-step explanation:

=6x-3(2x-1)

=6x-6x+3

=3 Answer

Which image below shows the result of an image that has been rotated 180° by the origin O?

Answers

Answer:

) A (3, 5)            

(ii) B (-2, 7)          

(iii) C (-5, -8)      

(iv) D (9, -4)

Solution:

When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.

(i) The new position of the point A (3, 5) will be A' (-3, -5)

Answer:

i don't see what are you talking about . honestly

Due in 50 minutes for 25 points please help!

Answers

Answer:

y = 16.3

Step-by-step explanation:

Based on the altitude theorem of a right triangle, we have:

14 = √(12*y)

Square both sides

14² = 12*y

196 = 12y

Divide both sides by 12

196/12 = 12y/12

16.3 = y

y = 16.3 (nearest tenth)

I need da answer to it and more

Answers

Answer:

The answer is 0 if there are 85 inches in the past year then there wouldn't be any in the present year.

Step-by-step explanation:

Draw a double bar graph for the given information.
Class 5th 6th 7th 8th 9th
No. of Boys 20 40 25 35 20
No. of Girls 30 35 20 25 40

Answers

Answer:

Draw a double bar graph for the given information.

Class 5th 6th 7th 8th 9th

No. of Boys 20 40 25 35 20

No. of Girls 30 35 20 25 40

I hope it is helpful...

Please help ASAP if you know how. Thanks so much

Answers

Answer:

the answer is C

Step-by-step explanation:

there isn't much to learn here this is just something that you come to know off the top of your head

Mr Sharma's monthly salary is 7,500 of which he spends 6,250 every month. What per cent of Salary he saves? ​

Answers

Answer:

16.66%

Step-by-step explanation:

7500-6250=1250

1250/7500 x 100 = 16.66%

Vonna scored 72 goals at soccer practice. Her ratio of goals to misses was 8 to 7. How many times did she miss?

Answers

8:7
72:63
The answer is 63

Quizziz 9th grade help please

Answers

Answer:

4 now hurry

Step-by-step explanation:

4 is your answer. Good luck

Estimate 5/8 − 1/10.
A. 0
B. 1/2
C. 1
D. 1 1/2

Answers

Answer:

B

Step-by-step explanation:

Closest answer

Answer:

1

Step-by-step explanation:

hope it helps . ans is c

I NEED HELP ASAP PLEASEEEE​

Answers

Answer:

Step-by-step explanation:

1) Find the Mean of all the numbers.

3+4+5+7+10+12+15=56

56/7=8 mean is 8

Now We Calculate Standard Deviation:

S=[tex]\sqrt{(3-8)^2+(4-8)^2+(5-8)^2+(7-8)^2+(10-8)^2+(12-8)^2+(15-8)^2}[/tex]

You take each number from the problem i.e 3,4,5...

and then you subtract the mean from it and then square it.

S=[tex]\sqrt{(-5)^2+(-4)^2+(-3)^2+(-1)^2+(2)^2+(4)^2+(7)^2}[/tex]

S=[tex]\sqrt{25+16+9+1+4+16+49}[/tex]

S=[tex]\sqrt{120}[/tex]

S=[tex]\sqrt{120}/7[/tex]

7 is the amount of data units given in the problem.

120/7=17.1428571429

[tex]\sqrt{17.1428571429}[/tex] =4.1403933560541

Nearest hundredth=4.14

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