Atriangular prism has bases that are equilateral triangles. which statements are true about the surface area of the triangular prism? choose all that apply. a all three rectangular faces have the same surface area
b the surface area of each rectangular face is 66cm2
c the combined surface area of both bases is greater than the surface area of one rectangular face
d the surface area of one base is 15.6cm2

A. all three rectangular faces have the same surface area

B. the surface area of each rectangular face is  

D. the surface area of one base is

Step-by-step explanation:

Verify each statement

case A) all three rectangular faces have the same surface area

The statement is true

Because, the equilateral triangle has the three equal sides and the three equal internal angles.

case B) the surface area of each rectangular face is  

The statement is true

Because, the area of each rectangular face is equal to

case C) the combined surface area of both bases is greater than the surface area of one rectangular face

The statement is False

Because

The combined surface area of both bases is

The surface area of one rectangular face is

therefore

case D) the surface area of one base is

The statement is True

Because

The surface area of one base is

25 meters

Step-by-step explanation:

in this case they give us the information about the lake and that length corresponds to the perimeter.

the perimeter of a circle has the following formula:

p = 2 * pi * r

then r equals:

r = p / pi * 2

replacing we have:

r = 157 / (2 * 3.14)

r = 25

which means that the radius of the lake is 25 meters