Question

Find the surface area of the prism

Answer 1

`400\ cm^2`

Explanation:

1. Approach

The surface area of an object is the two-dimensional area around the object. If one was going to wrap the figure in paper, then the surface area would be the amount of paper one would need to cover the entirety of the object. To find the surface area of an object, calculate the area of each face of the object and then add up the results,

2. Find the area of each face

The area of all the rectangular faces can be found by using the formula to find the area of a rectangle, (
`length*width`). Substitute in each of the values,

`17*7=119`

`15*7=105`

`8*7=56`

Now find the area of the triangular faces. This can be done by using the formula for the area of a triangle, (
`((length)*(width))/(2)`). Substitute in the given values,

`((15)*(8))/(2)=60`

`((15)*(8))/(2)=60`

3. Find the total surface area

Now add up the values of the area for each of the faces of the prism,

`119+105+56+60+60`

`=400`