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garri49 [273]
3 years ago
13

A container with a larger surface area always has a greater volume. Explain whether or not this statement is true using several

examples to support your argument.
Mathematics
1 answer:
Grace [21]3 years ago
8 0

No, this is not true every time. It depends on the conditions given.

For example-

Suppose we have a Box A with dimensions 10 x 10 x 1 and Box B with dimensions 5 x 5 x 5.

Box B has a surface area = 2(25+25+25) = 150 and a volume of 5*5*5= 125 cubic units

Box A has a larger surface area = 2(100+10+10) = 240 and a smaller volume = 10*10*1 = 100 cubic units

Similarly take an example of sphere.

Lets suppose the radius of the sphere is 2 cm

So, SA is 4πr² = 4*3.14*2*2 = 50.24 cm²

Volume of the sphere is = 4πr³ /3 = 33.50 cm³

Here also the SA is greater.

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Every 20th day they will play
3 0
3 years ago
Oof this is probably really simple to most of y'all but I'm out of it.
Lelechka [254]

Answers:

  • angle1 = 156 degrees
  • angle2 = 24 degrees

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

Explanation:

The two angles form a straight line, which is 180 degrees

Add up the angle expressions and set the sum equal to 180.

(angle1) + (angle2) = 180

(4x) + (x-15) = 180

(4x+x)-15 = 180

5x-15 = 180

5x = 180+15

5x = 195

x = 195/5

x = 39

We use that x value to find each missing angle

  • angle1 = 4x = 4*39 = 156 degrees
  • angle2 = x-15 = 39-15 = 24 degrees

Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.

Side note: Angles that add to 180 are considered supplementary.

6 0
2 years ago
Which of the following could be<br> the sum of exactly three<br> consecutive even integers?
OLEGan [10]

Answer: 198 is your answer:65+66+67 = 198 Hope I helped!

Step-by-step explanation:

8 0
2 years ago
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that
natulia [17]

Answer:

x ≤ 207 crates

Step-by-step explanation:

Greatest weight of the container = 27,500 kilograms

Weight of other shipment = 6,800 kilograms

Weight of a crate = 100 kilograms

Number of 100-kilogram crates that can be loaded into the shipping container = x

The inequality is

27,500 ≤ 6800 + 100x

27,500 - 6800 ≤ 100x

20,700 ≤ 100x

x ≤ 20,700 / 100

x ≤ 207 crates

3 0
3 years ago
A cube has a surface are of 3750 find the length on one side
Agata [3.3K]
A cube has six sides so you divide 3750 by 6 to find the area of a single face. This would be 625. Area is length times width and since it is a cube you know that both are the same. This gives you an answer of 25.  
4 0
3 years ago
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