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nordsb [41]
3 years ago
6

A college dorm refrigerator measures 18.5 cm by 32 cm 12.2 cm. What is the volume of the collage dorm refrigerator

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

722.24 cm

Step-by-step explanation:

The volume formula is L X W X H = V  so using that information we can do 18.5 times 32 times 12.2 which gives us 722.24 cm.

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If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in
Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, of the box with a square base are described below:

A_{s} = l^{2}+h\cdot l (1)

V = l^{2}\cdot h (2)

Where:

l - Side length of the base, in centimeters.

h - Height of the box, in centimeters.

By (2), we clear h within the formula:

h = \frac{V}{l^{2}}

And we apply in (1) and simplify the resulting expression:

A_{s} = l^{2}+ \frac{V}{l}

A_{s}\cdot l = l^{3}+V

V = A_{s}\cdot l -l^{3} (3)

Then, we find the first and second derivatives of this expression:

V' = A_{s}-3\cdot l^{2} (4)

V'' = -6\cdot l (5)

If V' = 0 and A_{s} = 30000\,cm^{2}, then we find the critical value of the side length of the base is:

30000-3\cdot l^{2} = 0

3\cdot l^{2} = 30000

l = 100\,cm

Then, we evaluate this result in the expression of the second derivative:

V'' = -600

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

V = 30000\cdot l - l^{3}

V = 2000000\,cm^{3}

The largest possible volume of the box is 2000000 cubic meters.

4 0
3 years ago
If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?
Volgvan

Answer: 8 whole gallons.

Step-by-step explanation: If you have only $27.00 and you need to buy gas, but each gallon is $3.15, then you just need to divide your total amount ($27.00) by your cost per gallon ($3.15), and you will get about 8.6 gallons, however this question asks for how many WHOLE gallons you can get, so all you need to do is round down to fit your budget, leaving money for only 8 whole gallons.

WORK: ($27.00) / ($3.15) = 8.6 gallons

4 0
3 years ago
Read 2 more answers
Find the length of diagonal of square land having side of length 50m​
Law Incorporation [45]

Answer:

70.7

Step-by-step explanation:

a2 +b2 = c2

50^2 + 50^2 = c2

c2 = 2500+2500

c = \sqrt{5000} = 70.7

I hope im right!

8 0
3 years ago
Someone please help....<br> What is the value of the”?” Next to the blue arrow.
Alla [95]

Answer: the number is 20, as the denominator 9 multiplied by 4 is 36. simply multiply the numerator by 4.

3 0
3 years ago
Answer please<br>Mathematics​
Vilka [71]
<h3>Answers:</h3>
  1. b) 573
  2. b) 0
  3. b) 3308
  4. a) 0
  5. a) 20

<h3>Hope it helps..</h3>

ray4918 here to help..

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2 years ago
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