Cube 1 has a volume of 64 cubic inches and Cube 2 has a volume of 512 cubic inches. If the ratio of the surface area of Cube 1 and 2 is 1:4 what are the side lengths of Cube 1 and Cube 2? A) 4 and 26 B) 8 and 16 C) 4 and 8 D) 8 and 64​

Answers

Answer 1

Answer:

4 and 8

Step-by-step explanation:

You don't need the surface area to find the edge length of a cube. Length of edge = ∛volume

Cube 1:

Length of each edge = ∛64 = 4 in.

Area of each face = 4² = 16 in².

Surface area = 6×16 = 96 in².

Cube 2:

Length of each edge = ∛512 = 8 in

Area of each face = 8² = 64 in²

Surface area = 6×64 = 384 in²

So the surface area is in the ratio 1:4


Related Questions

The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?

Answers

Answer:

1.33 or about 2

Step-by-step explanation:

Answer:

12 cups of raisins

Step-by-step explanation:

If our ratio is 3 to 1 or for every one cup of oatmeal we have 3 cups of raisins, we want our new ratio to be equal to that ratio!

Our new ratio is ? to 4, we know that for every one cup of oatmeal we have 3 cups of raisins then...

We have to multiple 3×4 to find our ?

3×4 = 12

So, we know that for every 4 cups of oatmeal we will have 3 cups of raisins!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

what does 108 × 1/3 equal?​

Answers

Answer:

It would be 36

Explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

108/1 ×1/3

Applying the fractions formula for multiplication,

=108×1/1×3 = 108/3

Simplifying 108/3, the answer is

=36

hope it helped. :)

5. If the ratio of boys to girls in a student's class is 5 to 7, what fraction of the class is boys?
What fraction is girls?

Answers

Answer:

Boys ratio- 5/12 girls ratio 7/12 dont think you can simplify

Step-by-step explanation:

Answer:

5 = Boys  7 = Girls

Step-by-step explanation:

Boys:Girls = 5:7. I hope this helps :)

What is the range of the function f(x)= 2 + 4 when the domain is {-2, 0, 3}?

A {4.25, 5, 12}
B. {0, 4, 10}
C. {4.25, 4, 12}
D. All Real Numbers

Answers

The domain is the possible input values "x" .. in this case [-4, -2, 0, 2, 4]

The range are the possible output values of f(x)

We need to solve f(x) = 3.2x for each value in our domain

f(-4) = 3.2(-4) = -12.8

f(-2) = 3.2(-2) = -6.4

f(0) = 3.2(0) = 0

f(2) = 3.2(2) = 6.4

f(4) = 3.2(4) = 12.8

Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12.

Which explicit formula can be used to model the same sequence?

f(x) = 12(4)x
f(x) = 3(4)x − 1
f(x) = 4(12)x
f(x) = 4(3)x − 1

Answers

Answer:

B

Step-by-step explanation:

I got u

The explicit formula for the geometric progression is f ( x ) = 3 ( 4 )ˣ⁻¹

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

f ( x + 1 ) = 4 f ( x )

where the second term is a₂ = 12

Now , the explicit formula is given by

f ( x ) = 3 ( 4 )ˣ⁻¹

when x = 2

f ( 2 ) = 3 ( 4 )²⁻¹

f ( 2 ) = 3 ( 4 )

f ( 2 ) = 12

Hence , the GP is f ( x ) = 3 ( 4 )ˣ⁻¹

To learn more about geometric progression click :

https://brainly.com/question/1522572

#SPJ7

-360 divided by -40 ?

Answers

Answer: 9

Step-by-step explanation:

The required -360 divided by -40 is equal to 9. The negative signs cancel out when dividing two negative numbers, resulting in a positive result.

When dividing two negative numbers, it's helpful to keep in mind the following rule:

The division of two negatives yields a positive result.

Now, let's perform the division:

-360 ÷ -40

Since both numbers are negative, we know the result will be positive.

Divide the absolute values of the numbers.

|-360| ÷ |-40| = 360 ÷ 40 = 9

Apply the rule for the division of two negatives.

Since both numbers are negative, the result will be positive:

-360 ÷ -40 = 9

Therefore, -360 divided by -40 is equal to 9.

Learn more about division here:

https://brainly.com/question/15381501

#SPJ4

Is 3 a rational number

Answers

Answer:

Yes

Step-by-step explanation:

Rational numbers are numbers that can actually be written down and end at some point, such as 3, 4, 6, 10, etc. Some numbers that aren't rational are numbers like π, which are never-ending.

2x^3+7x^2-4x+7/x^2+2x+2

Answers

Answer:

Step-by-step explanation:

What is 5 divided by 1/8?

Answers

Answer: 50

Step-by-step explanation:

Its 40

Step-by-step explanation

PLEASE HELP!!
What is the volume?
8 t
7 ft
21
cubic feet

Answers

Answer:

The answer is 8ft

Step-by-step explanation:

hope that helps :)))

Answer:

112ft²

Step-by-step explanation:

volume= length×breadth×height

[tex]v = 8 \times 2 \times 7 = 112f {t}^{2} [/tex]

I need help please answer

Answers

Answer:

√130

Step-by-step explanation:

_______________________

When 6 pounds of coffee cost $4.68, how much will 3 1/2 pounds cost?

Answers

Answer:

2.73

Step-by-step explanation:

Have a great day! I just put it down to cost per pound and and then multiplied by 3 1/2 and got the answer. :)

Answer:

$4.48

Step-by-step explanation:

6/4.68 = 1.28205128205 = 1.28

3 1/2 x 1.28 =

3.5 x 1.28 = 4.48 =

$4.48

If the point (-5, -4) is reflected across the x-axis, what are the coordinates of the new point?

Answers

Answer:

(-5, 4)

Step-by-step explanation:

Recall that in a reflection across the x-axis the x coordinate stays the same, while the y coordinate flips its sign.

Therefore

(-5, -4)  converts under reflection into (-5, 4)

10 Determine the area of the figure. 9 cm 6 cm 12 cm​

Answers

Answer:

Area= 648

Step-by-step explanation:

Area formula: L times W times H

9 times 6 times 12        :)

When the length, width, and the height is given so the area of the figure is considered to be 648.

Calculation of an area:

Since the length is 9cm

The width be 6 cm

And, the height is 12 cm

So, the area be like

= (9) (6) (12)

= 648

Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.

Learn more about an area here: https://brainly.com/question/20882229

Do 4x and 15+x have the same value when x is 5

Answers

Answer:

Yes!

Step-by-step explanation:

4x5= 20

15+5= 20

Help me please guys.

Determine the ratio in the picture below

Answers

Answer:

Sin Z=30/50 or 3/5

Step-by-step explanation:

To figure out Sin Z, you need the formula which is Sin=o/h

O=opposite

H=Hypotenuse

To find opposite, you locate the angle(angle Z) and you draw an arrow that is opposite of the angle. To find hypotenuse, you pinpoint the right angle and you find the degree that it is opposite of.

O=30

H=50

Finally, you simplify 30/50 to get 3/5ths. Hope this helps you out!

you spin the spinner below once: what is the P(getting a number less than 5)?

Answers

Answer:

3/4

Step-by-step explanation:

Answer: it would be 3/4 hope this helps you!!!

Step-by-step explanation:

Find the greatest common factor of 16 17 20

Answers

Answer:

1

Step-by-step explanation:

As you can see when you list out the factors of each number, 1 is the greatest number that 16, 17, and 20 divides into.

brainliet, please? hee hee

a painter can paint 180 square feet in 30 minutes. how many square feet can he paint in 120 minutes?

Answers

Answer:

720

Step-by-step explanation:

jayfeather friend me

Answer:

720

Step-by-step explanation:

The whole bar weighs 40 grams. How much does 1/5
of the bar weigh?

Answers

Answer:

8 grams

Step-by-step explanation:

if 5/5 is 40 grams, you divide 40 by 5 to get 1/5

Assume that y varies inversely
with x. Ify = 7 when x = 2/3, find
y when x = 7/3.

Y=?

Answers

Answer:

y = 2

Step-by-step explanation:

y varies inversely with x setup is:

y = k/x

7 = [tex]\frac{k}{2/3}[/tex]  (find 'k')

k = 7/1 · 2/3

k = 14/3

use what you know about 'k' and 'x' to solve for 'y'

y = 14/3 ÷ 7/3  (remember to multiply by the reciprocal when dividing fractions)

y = 14/3 · 3/7

y = 2

write 1,593 in standard form

Answers

Answer:

one thousand five hundred and niethree .

Step-by-step explanation:

You just use words instead of numbers.

What is the graph represents the equation y=1/3x+2

Answers

Step-by-step explanation:

step 1. you mean which graph represents the equation y = (1/3)x + 2?

step 2. please provide the graphs - they are missing.

step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.

step 4. the y intercept is 2 so it goes through the point (0, 2).

If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of

Answers

Answer:

The figure will change by a factor of 2.25.

Step-by-step explanation:

When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.

the area of the figure will change by a factor of 2.25

Can someone help pleasere

Answers

c=-3. (2c)^3
(2(-3))^3
(2-3)^3
(-1)^3
-1*-1*-1=
-1

Solve the following equation for x: 2(5x+6)+3x=38

Answers

Answer:

x=2

Hope this helps! Have a good day! :)

Does anyone know the answer? If so how did you get the answer.

Answers

So if I remember correctly, so it tells you that the area is 96 ft and we have to find X. We already have two of the measurements and if 96 ft is the area (total) then we have to figure out the missing measurement that will add up with the other two to equal 96 ft. So what I did was that I added up 20 ft and 16 ft= 36 ft. So then you just minus 36 ft from 96 ft to get your answer (X) so X= 60 ft
so uh it’s x=60. Why? the person above said so

Which of the following functions is graphed below?

Answers

Answer:

i think it is Answer D i am not sure

Step-by-step explanation:

which of the value of x satisfies the equation below -2x-7=12

A: x= -9.5

B: x= -9

C: x=9

d:x=9.5

Answers

Answer is A.
You start by adding the 7 to the opposite side. Giving you 19. You divide both sides by -2 which gives you x on one side and -9.5 on the other.

-2x-7=12
-2x=12(+7)
-2x=19
x=19/-2
x=-9.5

2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<

Answers

Answer:

5x + 6y + 1

Step-by-step explanation:

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