I'm guessing the sum is supposed to be
Split the summand into partial fractions:
If , then
If , then
This means
Consider the th partial sum of the series:
The sum telescopes so that
and as , the second term vanishes and leaves us with
X - (6.9) = 42.8 x = 42.8 +
2 answers:
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Given:
The volume of a cube-shaped box is cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
It is given that the volume of a cube-shaped box is cubic meter.
Taking cube root on both sides, we get
Now, the perimeter of each face of a cube is:
Where, a is the side length of the cube.
Putting , we get
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.