Question

Find the surface area of the triangular prism below...

Answer 1

x = 8,4 cm

Explanation:

Given:

`a(prism) = 96 \: {cm}^(2)`

Find: x - ?

The surface area of the prism is the sum of two side right triangles' and 3 rectangles' areas (the whole surface includes 2 right triangles and 3 rectangles).

We can write an equation according to this:

`((1)/(2) * 4 * 3) * 2 +( 5 * x) * 3 = 96`

`6 * 2 + 15x = 96`

`12 + 15x = 96`

`15x = 96 - 12`

`15x = 84`

`x = 5,6`