Question

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

Answer 1

Answer:

Surface area of prism is 382.5  sq. in.

Step-by-step explanation:

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

So, Area of triangle ABC = $\frac{1}{2} \times Base \times height$

Area of triangle ABC =$\frac{1}{2} \times AB \times BC$

Area of triangle ABC = $\frac{1}{2} \times 9 \times 10 =45 in^2$

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

Area of rectangular base ACED=$Length \times Breadth = AC \times CE=13.5 \times 9 =121.5$

Area of ABFD = $Length \times Breadth = AB \times BF=9 \times 9 =81 sq. in.$

Area of CBFE=$Length \times Breadth = CB \times BF=10 \times 9 =90 sq. in.$

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.