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Alja [10]
3 years ago
7

The following figure is a Cube. Find the missing values.

Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

384 ft²

Step-by-step explanation:

Alrighty! The volume of a cube is V = a³. The equation for the surface area of a cube is 6a². The key number here will come with finding what a is. Here, we are already given the volume: 512 ft³. By working backwards a little we can solve for the variable a using the volume.

Volume = a³

512 = a³

Here we need to isolate the variable a in order to solve for it. In order to do this we must figure out a way to move the cube³ over. We can do this by cube rooting 512!

512 = a³

∛512 = a

The cubed root of 512 = 8 thus:

8 = a

Now we that we have solved for the variable a, we can plug this into our equation for the surface area of a cube.

SA = 6a²

a = 8

SA = 6(8)²

Solving exponents comes first naturally. 8² = 64

SA = 6(64)

SA = 384

Ta-da! Your surface area is 384 ft².

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Help with math please.
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Hello,

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Now let's find the y-intercept by using the formula of point-slope form, 
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Let's plug the numbers in: y-6 = -3 (x-4). Let's distribute -3 to the parenthesis, and after that it should simplify to: y-6 = -3x + 12. To get "y" by itself, add 6 to both sides: y = -3x +18. We have finally found the slope-intercept equation for those two points (4,6) and (5,3). To then find the y-intercept in this equation, it would be the 18, because -3 is the slope, so that makes 18 the y-intercept.

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I hope this helps!

May
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3 years ago
Read 2 more answers
How to divide a whole number by a fraction khan academy?
mel-nik [20]
How to divide a whole number by a fraction...

example : 6 / (1/4)....when dividing with fractions, " flip " what u r dividing by, then multiply

6 * 4/1....if u have to, 6 is the same as 6/1
6/1 * 4/1 = 24/1 = 24

another example :
2 / (1/3) = 
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just remember to flip what u r dividing by and not the other number.
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