Question

The following triangular prism has a base that is a right triangle. Help Please I'm Out Of Time ;( Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net. Use your net to calculate the surface area of the prism.

Answer 1

Answer:

184.86 sq. cm.

Step-by-step explanation:

The following triangular prism has a base that is a right triangle.  

We need to describe the net of this triangular prism.

The need of triangular prism contains three rectangles and two congruent right angles as shown in the below figure.

Now, using the net we have to find the surface area of the prism.

Area of a rectangle is

$Area=length\times width$

$A_1=4.3\times 10=43$

$A_2=6.75\times 10=67.5$

$A_3=5.2\times 10=52$

Area of a triangle is  

$Area=\dfrac{1}{2}\times base\times height$

$A_4=\dfrac{1}{2}\times 4.3\times 5.2=11.18$

$A_5=A_4=11.18$

So, total area is

$A=A_1+A_2+A_3+A_4+A_5$

$A=43+67.5+52+11.18+11.18=184.86$

Therefore, the surface area of the prism is 184.86 sq. cm.