A cube has a surface are of 54. What's the volume?


A. 36

B. 27

C. 18

D. 64
80 points!!

Answers

Answer 1
Given Information :

Surface area of cube = 54 sq. units

To find :

Volume

Calculation :

We know that,

[tex]\bigstar \: \boxed{\sf {Volume_{(Cube)} = (\ell)^3}} \\ [/tex]

l = length of side

Let's find out the side first. We know that,

[tex]\bigstar \: \boxed{\sf {T.S.A_{(Cube)} = 6\ell^2}} \\ [/tex]

According to the question,

[tex] \longmapsto \sf {54 = 6\ell^2 } [/tex]

[tex] \longmapsto \sf {\dfrac{54}{6} = \ell^2 } [/tex]

[tex] \longmapsto \sf {9 = \ell^2 } [/tex]

[tex] \longmapsto \sf {\sqrt{9} = \ell } [/tex]

[tex] \longmapsto \sf \red{3 \: units = \ell } [/tex]

Now, calculating volume :

[tex]\bigstar \: \boxed{\sf {Volume_{(Cube)} = (\ell)^3}} \\ [/tex]

→ Volume = l × l × l

→ Volume = 3 × 3 × 3

Volume = 27

Option B is correct.


Related Questions

Shane's rare book collection contains 40 books. He donates 15% of his books to the national library, sells 14 of his books to a rare book dealer, and sells 4 books online. How many books remain in Shane's book collection?

Answers

Answer: 16 books

Step-by-step explanation:

40(.15)=6

40-6=34

34-14=20

20-4=16

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Angle 1 and Angle 2 are supplementary. If m∠1=27° , what is m∠2 ?

Answers

Answer:

m∠2 = 153°

Step-by-step explanation:

If Angle 1 and Angle 2 are supplementary, then that means they both add up to 180°.

180 - 27 = 153

m∠2 = 153°

The answer will be 153 degrees !!

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Answers

Answer:

the third ansswer choice

Step-by-step explanation:

C would be the answer.

Hello mind helping me on this?

Answers

Answer:

C. 6

Step-by-step explanation:

So it says read less thann 25 books --> that means the numbers are 13,14,14,16,19,21,21,22,23, and 24 --> a total of 10 numbers

Then it says read more than 35 books --> that means the numbers are 37,41,42,43 --> a total of 4 numbers

Now, it says how many more --> that means you subtract 4 by 10 = 10 - 4 = 6

Therefore the answer is 6 more students read less than 25 books than read more than 35 books.

C. 6

So it says read less thann 25 books --> that means the numbers are 13,14,14,16,19,21,21,22,23, and 24 --> a

total of 10 numbers

Then it says read more than 35 books that means the numbers are 37,41,42,43 -- > a total of 4 numbers

Now, it says how many more --> that means you subtract 4 by 10 10 -4 = 6

Therefore the answer is 6 more students read less than 25 books than read more than 35 books.

The graph shows Elizabeth’s speed during a 55-minute run. During which time interval did Elizabeth’s speed increase?

Answers

Answer:

0 - 5

Step-by-step explanation:

I need help lol... find the value of x

Answers

Answer:

B. x=37

Step-by-step explanation:

These are vertical opposite angles and they are equal to each other.

so, 2x+6=80

2x=74

x=37

37 bestie so true...

what is the value of x in the figure ?
plz i beg help i will give brainlist and 21 point

Answers

4x + 2 = 150 (vertically opposite angles)
4x = 150 - 2
x = 148/4
x= 37

Hope this helped and have a nice day : )
The answer is 37 because 148/4=37 and 148 +2= 150

Can you please help thxs.

Answers

It’s 47. I got it by adding which i’m pretty sure u do for volume.

Mr. Halili has challenged the students to a mile run. He is able to run a mile in 7 minutes. What is his speed in miles/minute? Convert this into miles per hour (hint: there are 60 minutes in an hour).

Answers

Answer: 1/7 miles per minute ≈ 0.14 miles per minute

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60/7 miles per hour ≈ 8.57 miles per hour

If you could explain to me how you get the answer, that will be great!

Answers

Answer: 48 cm^2

Step-by-step explanation:

find the surface area of the rectangles and squares

3(4)=12

3(3)=9

5(3)=15

find the surface area of the triangle

SA=bh÷2

3(4)=12

12÷2=6

both of the triangles have the same base and height so multiply it by 2

6(2)=12

add all of the surface areas

12+9+15+6+6=48

Write and Solve Equations-Word Problems

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Answers

Answer:

Step-by-step explanation: it would be josh has 2 jars of jelly

The number of coins in the red jar is 83 and the number of coins in the red jar is 110.

How to find the equation of the words problem?

The blue jar has 27 more coins than the red jar. There are total of 193 coins.

The number of coins in each jar can be calculated as follows:

Using equation,

let

x = coins in the red jar

Therefore,

coins in the blue jar = 27 + x

Therefore,

total coins in the jars = x + 27 + x

193 = x + x + 27

193 - 27 = 2x

166 = 2x

divide both sides by 2

x = 166 / 2

x = 83

Therefore,

number of coins in the red jar = 83

number of coins in the blue jar = 83 + 27 = 110

learn more on equation here: https://brainly.com/question/28992296

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PLZ HURRY! Jenny mixed 4 kg of mixed nuts containing 16% peanuts with 12 kg of mixed nuts containing 40% peanuts. What percent of the new mixture if peanuts?

Answers

Answer:

34%

n = new % = Answer

(4kg x 16%) + (12kg x 40%) = (New Percentage(Total kg))
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Simplify above to get:

.64 + 4.8 = 16n
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Divide both sides by 16
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MaybeKuro

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Answers

Subtract 10 from both sides
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0.035y=-6
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Answers

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Explanation:
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Answers

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Question:
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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

8th grade

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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