The area that needs to be painted is 126 in²
Explanation:
Given:
Base, b = 6 in
Height, h = 8 in
Slant height, s = 10 in
Length, l = 3 in
Area that needs to be painted = ?
In order to find the area that needs to be painted we need to find the surface area of the triangular prism.
We know,
Surface area = bh + 2ls + lb
On substituting the value, we get:
[tex]A = 6 X 8 + 2 X3X10 + 3 X6\\\\A = 48 + 60 + 18\\\\A = 126 in^2[/tex]
Therefore, the area that needs to be painted is 126 in²
