Question

Find the surface area of a right prism whose bases are equilateral triangles with side lengths of 6in. The height of the prism is 10in

Answer 1

`211.2 {in}^(2)`

Step-by-step explanation

The surface area of a triangular prism is

equal to the area of two triangular faces

plus the area of the three rectangular faces.

The area of the equilateral triangle is calculated using the formula:

`= 2 * ( √(3) )/(4) {s}^(2) + 3 * \: bh`

where s=6 is the length of one side.

and b=6 is the breadth of the rectangle and h=10 is the height of the rectangle.

Surface area

`= 2 * ( √(3) )/(4) * {6}^(2) + 3 * \: 6 * 10`

`= 18√(3) + 180`

=211.2square inches.