Question

Help! what is the surface area of the prism? 128in^2, 768in^2, 384in^2, or 480in^2

Answer 1

Option C:
`384 \ in^2` is the surface area of the prism

Step-by-step explanation:

Given figure is a triangular prism.

We need to determine the surface area of the triangular prism.

The formula to find the surface area of the triangular prism is given by

`S A=b h+(s 1+s 2+s 3) H`

where b is the base of the triangle,

h is the height of the triangle,

`s1,s2,s3` are the three sides of the triangle and

H is the height of the prism.

Let us substitute the values
`b=16` ,
`h=6` ,
`s1=16` ,
`s2=10` ,
`s3=10` and
`H=8` in the formula, we get,

`SA=16(6)+(16+10+10)(8)`

Simplifying, we get,

`SA=96+(36)(8)`

Multiplying the term, we get,

`SA=96+288`

Adding the terms, we have,

`SA=384 \ in^2`

Thus, the surface area of the prism is
`384 \ in^2`

Hence, Option C is the correct answer.