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:
∫₀² ln(x²) dx
Step-by-step explanation:
An integral is an improper integral if one or both endpoints is infinity, if the function is undefined at one or both endpoints, or if the function is discontinuous between the endpoints.
ln(x²) is undefined at x = 0.
I don’t see a picture so I can’t exactly answer this. Sorry
Answer:Red price hast he least least cost per gram of apple.
Step-by-step explanation:
1) considering Royal Gala, 75 gram apple cost $0.41
The cost per gram is 0.41/75 = $0.0055
2) considering Honey crisp, 93 gram apple cost $0.82
The cost per gram is 0.82/93 = $0.0088
3) considering Red Prince, 81 gram apple cost $0.36
The cost per gram is 0.36/81 = $0.0044
Since $0.0044 per gram is the lowest of the three, then the type of apple with the least cost per gram is Red prince.
Answer:
math w a y .com
Step-by-step explanation: