Question

What is the surface area of the triangular prism?

A. 336cm^2

B. 312cm^2

C. 216cm^2

D. 288cm^2

Answer 1

Answer: OPTION B

Explanation:

Calculate the area the triangles (Both are equal, then you can multiply the area of one of them by 2):

`A_t=2((b*h)/(2))`

Where b is the base and h is the height:

`A_t=2((6cm*8cm)/(2))=48cm^(2)`

Calculate the area of the rectangles that are equal (you can multiply the area of one of them by 2):

`A_(r1)=2lw`

Where l is the length and w is the width:

`A_(r1)=2*12cm*8cm=192cm^(2)`

Calculate the area of the other rectangle:

`A_(r2)=12cm*6cm=72cm^(2)`

Add the areas. Then, the result is:

`A{prism}=48cm^(2)+192cm^(2)+72cm^(2)=312cm^(2)`