Respuesta :

theleangreenbean

Answer:

608 ft²

Step-by-step explanation:

1) Find the area of the bases

[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height

Plug in b and h

[tex]A=\frac{1}{2} (12)(8)\\A=48[/tex]

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

2) Find the area of the two sides facing up

[tex]A=lw[/tex] where l is the length and w is the width

Plug in l and w

[tex]A=10*16\\A=160[/tex]

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

3) Find the area of the bottom side

[tex]A=lw[/tex] where l is the length and w is the width

Plug in l and w

[tex]A=12*16\\A=192[/tex]

Therefore, the area of this side is 192 ft².

4) Add all the areas together

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

ManateesAreBoss

Answer:

608

Step-by-step explanation:

first off you have to find the area of the base

the base is 16 by 12 feet.

so you multiply them and you get

16*12=192 you will have to come back later for this number

next, you find the two outsides of the triangular prism.

they are 10 by 16

10*16=160 and there are two of them so you double it and get 320

now save the 320 too with the 192

now we are going to find the triangles

the formula for an area of a triangle is A=1/2h*w

so we plug in the height which is 8 and the width which is 12

A=1/2(8)*(12)

Simplify

A=48 once again there are two of them so we double it to make it 96

now take all your saved numbers and add them all up

96+320+192

this should give you an answer of 608

hope this helps! have a nice day:)