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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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If a+b+c=0 for a,b,c then prove a²/bc+b²/ca+c²/ab=3.
Ierofanga [76]
According to the identity if a+b+c=0
then a3+b3+c3=3abc
a3+b3+c3/abc=3
a2*a/bc*a+b2*b/ca*b+c2*c/ab*c=3
cancel a,b,c in   all the fraction then you get
<span>a²/bc+b²/ca+c²/ab=3. 
</span>hence proved


5 0
3 years ago
Pls help me with this
Julli [10]

Answer:

8125, im pretty sure this is right

Step-by-step explanation:

4 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).
Maru [420]

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

6 0
3 years ago
ZX is perpendicular bisector of WY if WY=24 what is WX
bixtya [17]

Answer:

12

Step-by-step explanation:

6 0
3 years ago
Line AB passes through points A(-6,6) and B(12,3). If the equations of the line is written in slope-intercept form, y=me+b then
KIM [24]
<u>Use the previous given coordinates to solve for B.
Y=mx+b,
(3)=1/6(12)+b
3= 2+b
3-2=b
1=b
</u>
7 0
3 years ago
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