Question

The question: Rounded to the nearest integer, what is the approximate surface area of this right triangular prism with an equilateral triangle for a base? I just need help solve it because I’m confused

Answer 1

Okay, here we have this:

Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:

Then we will substitute in the following formula:

Surface Area of Triangular Prism=(√3a^2)/2+3(a+h)

Replacing:

Surface Area of Triangular Prism=(√3*8^2)/2+3(8+6)

Surface Area of Triangular Prism=(√3*64)/2+3(14)

Surface Area of Triangular Prism=(√3*64)/2+42

Surface Area of Triangular Prism=(√3*32)+42

Surface Area of Triangular Prism=32√3+42

Surface Area of Triangular Prism=97 ft^2

Finally we obtain that the aproximately surface area is 97 ft^2.