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: The correct option is (D) 196608.
Step-by-step explanation: We are given to find the value of the 9th term in the following geometric sequence :
3, 12, 48, 192, . . .
We know that
the n-th term of a geometric sequence with first term a and common ratio r is given by

For the given sequence, we have
first term, a = 3 and the common ratio, r is given by

Therefore, the 9th term of the given sequence will be

Thus, the required 9th term of the given sequence is 196608.
Option (D) is CORRECT.
Answer:
hey, did u do it? if u did can i pleasseee have the answer?
Step-by-step explanation:
:)
Answer:
D = (55)(4.5)
425 = 60 T
200 = R (2.5)
4.6 hours
59 mph
217 miles
Step-by-step explanation: