D = sqrt(3s^2) where s is the length of the side. Solving for s,
<span>3s^2 = d^2 iff </span>
<span>s^2 = d^2 / 3 iff </span>
<span>s = sqrt(d^2 / 3) </span>
<span>= d / sqrt(3) or d sqrt(3) / 3 </span>
<span>Surface area of the cube = 6 s^2. Thus, </span>
<span>A = 6 (d / sqrt(3))^2 </span>
<span>= 6d^2 / 3 </span>
<span>= 2d^2 </span>
<span>Volume = s^3. Thus, </span>
<span>V = (d / sqrt(3))^3 </span>
<span>= d^3 / 3sqrt(3) </span>
<span>= d^3 sqrt(3) / 9</span>
Answer:
V=pi r² h/3
Step-by-step explanation:
V=volume
R=radius
H=height
Answer
The answer to your question is 2 x 2 x 5 x 5 or 2² 5²
Step-by-step explanation:
Process
1.- To find the prime factors of a number, we must divide the number by prime numbers like 2, 3, 5, 7, 11, etc. starting from the lowest number.
100 2
50 2
25 5
5 5
1
Then 100 = 2 x 2 x 5 x 5 or 2² 5²
Answer:
n = 245/36
Step-by-step explanation:
Usually, these are solved in 2 steps:
- eliminate fractions by multiplying by the LCM of the denominators
- divide by the coefficient of the variable.
Doing that, we have ...
(49n)(36/49) = (49n)(5/n)
36n = 49·5 = 245 . . . . . simplify
n = 245/36 . . . . . divide by the coefficient of n
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Another way to do these is to rewrite the proportion with both sides inverted:
49/36 = n/5
Now, all you need to do is multiply by 5.
n = 5(49/36) = 245/36
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Or, you can do both of the original steps at the same time:
(49n/36)(36/49) = (49n/36)(5/n)
n = (49·5)/36 = 245/36
