Question

A net of a triangular prism is shown below. What is the surface area, in square feet, of the triangular prism​

Answer 1

`Area = 152cm^2`

Explanation:

Given

See attachment for the prism net

Required

Calculate the area

First, calculate the area of the two congruent triangle:

`A_1 =2 * (1)/(2) * base * height`

Where

base = 6cm\ height = 4cm

So:

`A_1 =2 * (1)/(2) * 6cm * 4cm`

`A_1 =24cm^2`

Calculate the area of the middle rectangle

`A_2 = Length * Width`

`A_2 = 6cm * 8cm`

`A_2 = 48cm^2`

Lastly, the area of the two congruent rectangles on both sides of the middle rectangle

`A_3 = 2 * Length *Width`

`A_3 = 2 * 8cm * 5cm`

`A_3 = 80cm^2`

So, the surface area of the net is:

`Area = A_1 + A_2 + A_3`

`Area = 24cm^2 + 48cm^2 + 80cm^2`

`Area = 152cm^2`