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.
Answer:
D
Step-by-step explanation:
let y = f(x), that is
y = 
Rearrange making x the subject
Multiply both sides by 5
5y = 2x - 3 ( add 3 to both sides )
5y + 3 = 2x (divide both sides by 2 ) , then
x = 
Change y back into term of x, hence
(x) =
→ D
<span>x greater than or equal to −4 and x less than or equal to 3
This is because of the fact that it is in between.</span>
Answer:
A: $8xN= $25 (N=5 days)
B: $8xN= $56 (N= 7 days)
Step-by-step explanation:
Hope This Helps! ;)
Answer:
Just multiply two of the same numbers together twice
Step-by-step explanation:
Find the closest square number to the Square root of 31 which is 36. The square root of 36 is 6. So since 31 is smaller than 36, it must be between 5 and 6. Do this for the rest of the questions.