Question

Find the surface area of this triangular prism.

Answer 1

96

Explanation:

A=Area

Using the formulas

`A= 2A_(b) +(a+b+c)h\\A_(b) = √(s(s-8)(s-10)(s-6)) \\s= (8+10+6)/(2)`

Solving for A

`A=ah+bh+ch+(1)/(2)*√(-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4)`

`A=8(2)+10(2)+6(2)+(1)/(2)*\sqrt{-8^(4) +2*(8*10)^(2) +2*(8*6)^(2)-10^(4) +2*(10*6)^(2)-6^(4) }`
`A=96`