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:
1/59049
Step-by-step explanation:
Answer:
x = 10/√2 ≈ 7.07
Step-by-step explanation:
Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.
Aplicando el teorema de Tales, sabemos que:

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

Podemos entonces despejar x de la siguiente manera:

Answer:
0.67>2/3
Step-by-step explanation:
If you divide 2 by 3, you will end up with 0.6.
Now, you can compare the two numbers 0.6 and 0.67.
Answer:
13
Step-by-step explanation:
130 *
= 130
Hope that this helps!