Question

Find the surface area of the prism. Write your answer as a decimal.

Answer 1

Surface area of prism is 382.5 sq. in.

Explanation:

Total Surface area of prism = Sum of area of all faces

So, Area of triangle ABC =
`(1)/(2) * Base * height`

Area of triangle ABC =
`(1)/(2) * AB * BC`

Area of triangle ABC =
`(1)/(2) * 9 * 10 =45 in^2`

Area of triangle DEF = Area of triangle ABC =45 sq. in.

Area of rectangular base ACED=
`Length * Breadth = AC * CE=13.5 * 9 =121.5`

Area of ABFD =
`Length * Breadth = AB * BF=9 * 9 =81 sq. in.`

Area of CBFE=
`Length * Breadth = CB * BF=10 * 9 =90 sq. in.`

Total Surface area of prism = Sum of area of all faces =45+45+121.5+81+90=382.5 sq. in.

Hence Surface area of prism is 382.5 sq. in.