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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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3 years ago
An ice skater practiced for 18 hours last week. In that time, she did 306 jumps. On the average, how many jumps did she try per
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3 0
3 years ago
Use the substitution method to solve.
lord [1]

Answer:

x = 7, y = 6

Step-by-step explanation:

solve for y for the first equation

2x + y = 20

-2x         -2x , eliminate 2x

y = 20-2x

now that we have found y, substitute the y in for the second equation

-5y = -6x + 12

-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5

-100+10x = -6x + 12, we multiplied everything from the parathesis  by -5

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x = 7

then y = 20 - 2x = 20 - 2*7 = 6

check:

2 * 7 + 6 = 20

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4 0
3 years ago
ABCD is a parallelogram. Determine the measure of ∠B.
Dafna1 [17]
Measure B is 90 because 17x+=180/2
and x=5
when you plug that into 17x+5 you get 90
7 0
2 years ago
Read 2 more answers
Find the surface area ​
Helen [10]
We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps!
3 0
3 years ago
Read 2 more answers
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