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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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Can someone help me with number 50?
timama [110]
Let's take a peek at the denominators first off, and do a "prime factoring" on them.

25 = 5 * 5

27 = 3 * 3 * 3

45 = 3 * 3 * 5

the numbers in bold are repeated there more than once among the factors, and therefore we'll use them once, so our LCD will be 5 * 5 * 3 * 3 * 3, or 675.

\bf \stackrel{Alaska}{\cfrac{4}{25}}~+~\stackrel{Texas}{\cfrac{2}{27}}~+~\stackrel{California}{\cfrac{2}{45}}~~ \stackrel{LCD~675}{\implies }~~ \cfrac{(27)4~+~(25)2~+~(15)2}{675}
\\\\\\
\cfrac{108+50+30}{675}\implies \cfrac{188}{675}
3 0
3 years ago
R17 is greater than or equal to 545.7
zhuklara [117]

Answer:

r17 is that a mistake or actually the number?

7 0
2 years ago
Can someone tell me how to do this?<br> Or can you do it for me?
dybincka [34]

Answer:

multiply 5*8 and you will get the answer... 40cm

8 0
3 years ago
(-5+2)•(-1/2)<br><br> I don’t know how to do this problem. Would anyone be able to assist? Thanks!
SpyIntel [72]

Answer:

3/2 or 1 1/2 or 1.5

Step-by-step explanation:

first do the equations in each parentheses:

(-5+2) = -3

(-1/2) = -1/2

then multiply both sides:

-3 • -1/2 (which is the same as -3 • -1 over 2)

= 3/2 or 1 1/2 or 1.5

7 0
3 years ago
Select the correct answer. Which expression is equivalent to , if x &gt; 0? A. B. C. D.
zhenek [66]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
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