Question

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

Answer 1

Answer:

$Area = 152cm^2$

Step-by-step explanation:

Given

See attachment for the prism net

Required

Calculate the area

First, calculate the area of the two congruent triangle:

$A_1 =2 * \frac{1}{2} * base * height$

Where

base = 6cm\ height = 4cm

So:

$A_1 =2 * \frac{1}{2} * 6cm * 4cm$

$A_1 =24cm^2$

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:

$Area = A_1 + A_2 + A_3$

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

$Area = 152cm^2$