The volumes of two cubes are 32ft^3 and 1372ft^3
1. What is the ratio of their volumes?
2. What is the scale factor?
3. What is the ratio of their surface areas?
4. Find the surface are of the smaller cube if the larger cube has a surface area of 196ft^2

Answers

Answer 1

Answer:

1) 8 : 343

2) 42.875 or 42 ⅞

3) 4 : 49

4) 16ft²

Step-by-step explanation:

Volume of cube: s³

Surface area of cube: 6s²

_____________________

32ft^3 and 1372ft^3 →

32 : 1372 = 8 : 343

343 / 8 = 42 ⅞ = 42.875

s³ → 6s²

s³ = 8, s = 2, s² = 4.

s³ = 343, s = 7, s² = 49.

These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.

s³ → 8 : 343

6s² → 4 : 49

(4 / 49) × 196ft² = 16ft²


Related Questions

Miguel is staining a wooden box. To determine how much stain he needs, he'll need to find the surface area of the box. True False

Answers

Answer:

True

Step-by-step explanation:

Miguel is staining a wooden box. he needs to find the surface area of the box

We have given that,

Miguel is staining a wooden box.

To determine how much stain he needs, he'll need to find the surface area of the box.

We have to determine statement is true or false.

What is the surface area of the box?

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Therefore he needs to find the surface area of the box

and it is a true statement.

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The last one……!.!.!.!!.

Which negative angle is equivalent to a 75° angle?

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Answer:

A) -285

Step-by-step explanation:

360-75=285

Angle ABC and angle CBD are complimentary .CBD has an angle of 38 degrees What is the value of x?

Answers

Answer:

what school you do i think im on that

on thatStep-by-step explanation:

Answer:

142

Step-by-step explanation:

Complimentary means 180 degrees, so you have to subtract 38 from 180:

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sharon runs 7/10 mile mile in 6 minutes. How many miles does she run in one minute? In one hour?

Answers

Answer:

7/60 miles in one minute

7 miles in one hour

Step-by-step explanation:

7/10 = 6 minutes

/6        /6

7/10  / 6 =    7/10 * 1/6 =  7/60

B. 7/10 = 6 minutes

     *10         *10

7/10 *  10 =   70/10  = 7 miles

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Find the exact circumference of a circle with diameter equal to 8 ft.

Answers

Answer:

C = 8π ft

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = 8π

What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.

Answers

Answer: [tex]\dfrac{1}{52}[/tex]

Step-by-step explanation:

Given

We need to choose 6 of clubs that's also a red

A deck contains 13 cards of clubs, and 6 of clubs is the only red card i.e. favorable outcome is 1 out of 52 cards

Probability is the ratio of favorable to the total outcomes

[tex]\Rightarrow P=\dfrac{1}{52}[/tex]

The linear factors of a quadratic expression are (x + a) and (2x + b), where a and b are
positive, odd integers. Which statement about the zeros of this expression's related
quadratic function is FALSE?

A. Both of the zeros are located on the x-axis.

B. One zero is an integer, and the other is a fraction.

C. The zeros are the opposites of the constants in the linear factors.

D. The zeros can be found by setting each factor equal to 0 and solving.

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A HOPE IT HELPSSSSSS

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Answer:

1 ..................or 1/1

Answer:

-1 is the slope

..................

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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

The given side lengths do not form a triangle of any kind.

  [tex]7+16\ngtr 25[/tex]

Please help

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Answers

Answer:

2197 cm³

Step-by-step explanation:

surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014

surface area of cube = 6 * x²   .... x: side length of cube

6x² = 1014

x² = 169

x = 13

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Answers

Answer:

d

Step-by-step explanation:

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Answer:

a. 2^3

b. 3^4

c. 4^3 × 5^2

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Step-by-step explanation:

The following equations are given

a. 2 × 2× 2

b. 3 × 3 × 3 × 3

c. 4 × 4 × 4 × 5 × 5

d. 9 × 7 × 9 × 9 × 7 × 9

We need to find the index notation for the above equations

a. 2^3

b. 3^4

c. 4^3 × 5^2

d. 9^4 × 7^2

In this way it should be done

The same would be relevant

Find the area of the polygon.
42 m
26 m
21 m
52 m
The area of the polygon is _
square meters.

Answers

Answer:

1327

Step-by-step explanation:

Please check the attachment for explanation.

A bag contains 9 red, 7 blue, and 4 yellow marbles. If a marble is chosen at random from the bag, what is the probability that it is NOT yellow? (in fraction form) A) 1 5 B) 1 3 C) 3 5 Eliminate D) 4 5

Answers

Answer:

D

Step-by-step explanation:

if you add all the numbers together you get a total of 20. if you add the non yellow marbles together you get 16. so the fraction is 16/20. then you shorten the fractions by dividing the numbers. both are divisible by 4, so the final answer is 4/5.

NO LINKS I WILL REPORT YOU
What are the missing numbers

Answers

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Plz help me well mark brainliest if correct!

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Answer:

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Step-by-step explanation:

There are 14 days in two weeks, and there are 14-day intervals between dates.

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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If you can buy one tub of dried blueberries for $8, then how many can you buy with $16?​

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

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Step-by-step explanation:

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Step-by-step explanation:

Took Test om Plato.

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answer:

F Y=1x+5 G Y=2x-5 H Y =x-3 J Y=2x+5

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