Question

What is the surface area of each figure? Round to the nearest tenth if necessary.

Answer 1

336 square feet

Explanation:

Surface area of triangular prism:

l - length of the prism = 12ft

s₁, s₂ and s₃ are the sides of the triangle.

s₁ = 8ft ; s₂ = 6 ft ; s₃ = 10ft

b - base of the triangle = 8 ft

h - altitude of the triangle = 6 ft

`\sf \boxed{\text{\bf Surface area of triangular prism = bh + (s_1+s_2+s_3)*l}}`
`\boxed{\text{\bf Surface area of triangular prism = $ \bf bh + (s_1 + s_2 + s_3)*l$}}`

`\sf = 6 *8 + (6 + 8 + 10) *12\\\\= 48 + 24 *12\\\\= 48 + 288\\\\= 336 \ ft^2`