Question

The base of a prism is an equilateral triangle with and area of 52.4 cm squared. The area of each lateral face is 66 cm squared. What is the surface area?

Answer 1

Therefore the total surface of the prism is 302.8 cm squared.

Explanation:

Triangular Prism:

• It has 5 flat surfaces.
• It has 6 vertices.
• Three faces are rectangles and two faces are triangles.
• The volume is = area of base× height

Given that, the base of a prism is an equilateral triangle with area of 52.4 cm squared. The area of each lateral face is 66 cm squared.

The surface area of the given prism =
`S_(Base)+S_(side)`

`=2.(\sqrt3)/(4)s^2+3ls`

Here

`(\sqrt3)/(4)s^2=52.4` and
`ls=66`

Therefore the total surface of the prism is

={(2×52.4)+(3×66)}cm squared

=302.8 cm squared