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Strike441 [17]
3 years ago
13

A cube has a area of 81cm squared find its volume​

Mathematics
2 answers:
vladimir1956 [14]3 years ago
4 0

Answer:

Area of one face of a cube = 81 sq cm.

Hence, each side of the cube = 81^0.5 = 9 cm.

So volume of the cube = 9^3 = 729 cm^3

Step-by-step explanation:

Alik [6]3 years ago
4 0

Step-by-step explanation:

Area of face of a cube = 81 cm squared

So area of face = a x a = 81

A^2 = 81

A= 9

So side = 9cm

So volume of a cube = side x side x side = side ^3

= 9x 9 x9 = 729

So Volume = 729 cm^3

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The correct answer is B

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There are 12 people in cafe. half of them are drinking coffee. How many people are drinking coffee?​
enot [183]
The answer is 6 people.

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3 years ago
A paint company mixes it's paint with water to create more paint per gallon. They currently have ten gallon jugs which contain 1
Karo-lina-s [1.5K]
<h3>Answer:  1.25 gallons</h3>

==================================

Explanation:

They currently have ten gallon jugs that contain 10% water, so this means 0.10*10 = 1 gallon of the jug is water and the other 10-1 = 9 gallons is paint. This is assuming the cans are just paint and water.

The ratio of paint to water is 90:10 which reduces to 9:1

Often it helps to reduce as much as possible, but it's actually more handy in this case to keep it at 90:10 so you can see the two parts add back up to 100%

--------------

Let x be the amount of water we add. This amount is in gallons.

We start off with 1 gallon of water and it bumps up to 1+x gallons of water.

The overall amount of 10 gallons also bumps up to 10+x gallons.

We want a ratio of 80:20 this time, so we want 20 parts water and 80 parts paint. In other words, we want 20/(20+80) = 20/100 = 20% water

Divide (1+x) over (10+x) to get (1+x)/(10+x). This represents the fraction of water. We want this fraction to be equal to 0.20, which is the 20% water amount. It is also equal to 20/100.

--------------

(1+x)/(10+x) = 20/100

100(1+x) = 20(10+x) ... cross multiply

100+100x = 200+20x ... distribute

100x-20x = 200-100

80x = 100

x = 100/80 ... divide both sides by 80

x = 1.25

You need to add 1.25 gallons of water

--------------

If you add 1.25 gallons of water, then,

amount of water = 1+x = 1+1.25 = 2.25

amount of paint&water = 10+x = 10+1.25 = 11.25

So you'll have 2.25 gallons of water out of 11.25 gallons of water&paint mix

2.25/11.25 = 0.2 = 20% water

This confirms our answer.

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Extra info:

1.25 gallons = 1 gallon + 1/4 gallon

1.25 gallons = 1 gallon + 1 quart

This is because 1 gallon = 4 quarts, so 1 quart = 1/4 gallon.

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What does 10.44 x 2.5 equal?
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It is equal to 26 if you didn’t understand you can ask more questions and I’ll help
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