Question

Last assignment that i have due in math

Answer 1

`456\ m^2`

Explanation:

In order to find the surface area of a 3-dimensional figure, one must find the 2-dimensional area of all of its faces, then add up the values to find the surface area of the entire figure. The given prism is drawn out in the form of a net, thus, it is rather easy to find the area of each face, and add up the area to find the surface area.

The lateral surface area refers to the surface area of a figure, not including the base of the figure. In this case, the base is the largest rectangle: the one with the dimensions of the following length

`(12)*(18)`

Use the following formulas to find the surface area of each face:

Rectangle:
`(length)(width)`

`(10)(18)=(180)`

`(10)(18)=(180)`

Triangle:
`((base)(height))/(2)`

`((12)(8))/(2)=48`

`((12)(8))/(2)=48`

Add up all of these values to find the total surface area:

`(180)+(180)+(48)+(48)=456`