Question

Find the total surface area of the triangular prism

Answer 1

`1,008\:\mathrm{cm^2}`

Explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

`2\cdot (1)/(2)\cdot12\cdot 14=168\:\mathrm{cm^2}`

Area of all three rectangles:

`15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}`

Therefore, the total surface area of this figure is:

`840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark`