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.
About 1.63 ft.
First subtract 8.5 from 11.75 which is 3.25
then divide 3.25 by 2 which is 1.625
Therefore about 1.63 ft. away from each side.
A' = (-2, 1)
B' = (1, 0)
C' = (-1, 0)
Answer: 30% of decrease
Step-by-step explanation:
$13.95 - $10 = $3.95
$13.95___100%
$3.95___x= 28.31%
(3.95*100) / 13.95 = 28.31 = 30