# How do you find the area of the lateral faces of the right triangular prism with altitude of 5 cm and base edges of length 3 cm, 4 cm, and 5 cm?

May 30, 2017

The total lateral area for the Triangular prism is $60 {\text{cm}}^{2}$

#### Explanation:

$A = l \times w$

$\text{Lateral Area} = {l}_{1} \times {w}_{1} + {l}_{2} \times {w}_{2} + {l}_{3} \times {w}_{3}$

$\text{Side 1} = 5 \times 3$

color(blue)("Side 1" = 15"cm"^2

$\text{Side 2} = 5 \times 4$

color(blue)("Side 2" = 20"cm"^2

$\text{Side 3} = 5 \times 5$

color(blue)("Side 3" = 25"cm"^2

$\text{Lateral Area} = 5 \times 3 + 5 \times 4 + 5 \times 5$

$\text{Lateral Area} = 15 + 20 + 25$

color(red)("Lateral Area" = 60"cm"^2