Which is the correct classification and decimal expansion of 5/8
2 answers:
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Answer:
64. 6138
66. 8.078125
Step-by-step explanation:
Let's take it one number at a time.
For number 64:
Sum = 6 + 12 + 24 + 48 + 96 + 192 + 384 + 768 + 1536 + 3072
Sum = 6138
For number 66:
Sum = 12 + -6 + 3 + -1.5 + 0.75 + -0.375 + 0.1875 + -0.0078125 + 0.046875 + -0.0234375
or to make things simpler:
Sum = 12 - 6 + 3 - 1.5 + 0.75 - 0.375 + 0.1875 - 0.0078125 + 0.046875 - 0.0234375
Sum = 8.078125
Given:
A prism with height 5 cm and equilateral triangular base with side 2 cm.
To find:
The total surface area of the prism.
Solution:
Area of an equilateral triangle is:
Where, a is the side length.
Putting , we get
The base and top of the prism are congruent so their area must be equal.
The lateral surface area of the prism is:
Where, P is the perimeter of the base and h is the height of the prism.
The lateral surface area of the prism is:
Now, the total surface area is the sum of areas of bases and lateral surface area.
Therefore, the total surface area is 33.46 cm².